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{{#Wiki_filter:RESPONSE TO NRC REQUEST FOR ADDITIONAL INFORMATION MASONRY WALL RE-EVALUATION (NRC IE BULLETIN 80-11)FLORIDA POWER 5 LIGHT COMPANY TURKEY POINT PLANT UNITS NO.3 8 4 BECHTEL POWER CORPORATION GAITHERSBURG~ | {{#Wiki_filter:RESPONSE TO NRC REQUEST FOR ADDITIONAL INFORMATION MASONRY WALL RE-EVALUATION (NRC IE BULLETIN 80-11) | ||
MARYLAND MAY, 1982 0 | FLORIDA POWER 5 LIGHT COMPANY TURKEY POINT PLANT UNITS NO. 3 8 4 BECHTEL POWER CORPORATION GAITHERSBURG~ MARYLAND MAY, 1982 g20b0205~ 0 0g2052 5ppp520, pDR pgoct pDR 8 | ||
These documents delineate requirements for handling, storage, preparation of materials, and erection (several of these requirements are outlined in the Turkey Point Units 3 8 4.Final Report in Response to IE Bulletin 80-11).These requirements were included to ensure the use of proper materials and workmanship and to prevent voids or other weaknesses. | |||
The quality control inherent in nuclear power plant construction, provides assurance of good workmanship.(b)Field Engineers (responsible for monitoring the progress of work and reporting any errors or inadequacies in:materials or workmanship) were on the site during the construction of the masonry walls. | r' Jt i | ||
0 r'o J (c)The masonry wall walkdown procedure for Turkey Point required the recording of observations:of wall conditions (cracks, condition of mortar go'ints, etc.).The walls were generally reported to be in good condition. | t i | ||
UESTION, 2.With reference to Section,II.of Reference 5, justify the proposed 67%increase in allowable stresses for masonry in tension and shear.For factored loads, the,SEB criteria suggest the following factors: Shear reinforcement and/or bolts 1.5 Masonry tension parallel to bed)oint Shear carried by masonry Masonry tension perpendicular to bed joint | |||
UESTION | |||
: l. Indicate whether the construction practice for the masonry structures at Turkey Point Plant Units 3 and 4 was in conformance with the provisions specified for the special inspection category in ACI 531-79. If,not, explain and justify .the use of, allowable stresses. | |||
===RESPONSE=== | |||
The use of allowable stresses per the ACI 531-79 special inspection category is valid for the following reasons: | |||
(a) Masonry walls were constructed by personnel working from project drawings and specifications. These documents delineate requirements for handling, storage, preparation of materials, and erection (several of these requirements are outlined in the Turkey Point Units 3 8 4 .Final Report in Response to IE Bulletin 80-11). These requirements were included to ensure the use of proper materials and workmanship and to prevent voids or other weaknesses. The quality control inherent in nuclear power plant construction, provides assurance of good workmanship. | |||
(b) Field Engineers (responsible for monitoring the progress of work and reporting any errors or inadequacies in:materials or workmanship) were on the site during the construction of the masonry walls. | |||
0 r'o J | |||
(c) The masonry wall walkdown procedure for Turkey Point required the recording of observations:of wall conditions (cracks, condition of mortar go'ints, etc.). The walls were generally reported to be in good condition. | |||
UESTION, | |||
: 2. With reference to Section,II .of Reference 5, justify the proposed 67% | |||
increase in allowable stresses for masonry in tension and shear. For factored loads, the,SEB criteria suggest the following factors: | |||
Shear reinforcement and/or bolts 1.5 Masonry tension parallel to bed )oint 1.5 Shear carried by masonry 1.3 Masonry tension perpendicular to bed joint for reinforced masonry for unreinforced masonry 1.3 | |||
==Reference:== | ==Reference:== | ||
(5)R.E.Uhrig letter to J.P.O'Reilly, NRC, sedated April 3,'1981 (L-81-.153) | (5) R. E. Uhrig letter to J. P. O'Reilly, NRC, sedated April 3, | ||
RESPONSE The 67%increase in allowable stresses for masonry shear and tension for factored loads was chosen in March, 1981, prior to the issuance of | '1981 (L-81-.153) | ||
===RESPONSE=== | |||
The 67% increase in allowable stresses for masonry shear and tension for factored loads was chosen in March, 1981, prior to the issuance of | |||
the SEB criteria which was published in July, 1981.Code allowable stresses for shear and tension were increased by 67X for load combinations involving abnormal and/or extreme environmental conditions which are credible but highly improbable. | the SEB criteria which was published in July, 1981. Code allowable stresses for shear and tension were increased by 67X for load combinations involving abnormal and/or extreme environmental conditions which are credible but highly improbable. Since the code allowable stresses (ACI 531-79, Chapter 10.1 of the commentary) are generally associated with a safety factor of 3, the 1.67 increase provides a factor of safety against failure of 1.8 (3 | ||
Since the code allowable stresses (ACI 531-79, Chapter 10.1 of the commentary) are generally associated with a safety factor of 3, the 1.67 increase provides a factor of safety against failure of 1.8 (3 | : 1.67). In light of the nature of the loads considered here, a factor of safety of 1.8's conservative and allows sufficient margin for abnormal and/or extreme conditions. | ||
UESTION 3.With reference to Page 10 of Reference 5, explain how modes higher than the fundamental mode were accounted for.Provide a sample calculation. | UESTION | ||
: 3. With reference to Page 10 of Reference 5, explain how modes higher than the fundamental mode were accounted for. Provide a sample calculation. | |||
==Reference:== | ==Reference:== | ||
(5)R.E..Uhrig letter to J.P.O'Reilly, NRC,,dated April 3, 1981 (L-81-153) | (5) R. E.. Uhrig letter to J. P. O'Reilly, NRC,,dated April 3, 1981 (L-81-153) | ||
RESPONSE A FORTRAN computer code was developed to analyze masonry walls for axial load and flexural effects due to external and/or seismic loading.The modal analysis technique is used in conjunction with | |||
===RESPONSE=== | |||
A FORTRAN computer code was developed to analyze masonry walls for axial load and flexural effects due to external and/or seismic loading. The modal analysis technique is used in conjunction with | |||
UESTION 6.In Reference 5,, the Licensee indicates that the energy balance technique and arching theory have been used to qualify'ome masonry walls.The NRC, at present, does not accept the application of these techniques.to masonry walls in nuclear, power plants in the absence of conclusive evidence to)ustify this application. | Oi the response spectrum method to obtain the seismic response of the wall model. The responses of the first three modes of the beam model are combined by the SRSS method to obtain the total response. The results of the computer code developed were verified against a nine | ||
The Licensee is requested to indicate the number of"walls which have been analyzed by each of these techniques. | ,mode solution. In lieu of a sample calculation (which .would show only the input and output of the computer code), Attachment 1 is enclosed to provi'de a description and flow chart of the referenced FORTRAN computer code. | ||
When the energy balance technique was used, the total required strain energy was calculated from the loads and deflections determined by the computer code referenced above. As already noted, this, program considers the first three modes of the beam model. | |||
When the arching method was used, the seismic inertial loading was t | |||
obtained from the seismic acceleration corresponding to the natural frequency of the wall. The natural frequency and, by extension, the seismic loading were conservatively determined from an upper bound value of the wall deflection. | |||
UESTION | |||
: 4. Explain how the openings and attachments from piping or equipment are accounted for in the beam analysis. | |||
4 | |||
===RESPONSE=== | |||
(a) ~0enfn s Block wall masses above openings and/or penetrations are equally distributed to the strips adjacent to the opening on both, sides as additional mass for the purpose of analysis. | |||
(b) Loads due to i in and/or attachments: | |||
(i) The concentrated loads due to piping and/or attachments were considered as additional masses when elastic analysis and/or energy balance techniques were applied. | |||
(ii) When the arching theory was applied, an equivalent distributed load q was substituted for the concentrated load and was added to the sei'smic inertial load. The equivalent'istributed load was defined as q ~ 'SM 2 | |||
where ME, maximum bending moment due to all external loads L wall span | |||
i This method was used only if M were located in the middle third of the .span, or if M were not greater than 20% of the maximum seismic moment based on elastic considerations. | |||
Where the concentrated load did not meet either of the above requirements, the arching theory was not considered applicable. | |||
UESTION | |||
'5. Indicate how earthquake forces in three directions were considered in the analysis. | |||
===RESPONSE=== | |||
In accordance with FSAR criteria, seismic forces, were considered acting simultaneously in the vertical and in any horizontal direction. | |||
In-plane stresses due. to seismic loads were generally insignificant; fo'r two load-bearing walls which were analyzed by elastic methods, the out-of-plane horizontal loads were determined to be the governing horizontal loads. Therefore, seismic load due to the horizontal earthquake component in the out-of-plane direction was:combined with the vertical seismic load using the absolute sum method in the consideration of seismic loads for the masonry wall .evaluation. | |||
UESTION | |||
: 6. In Reference 5,, the Licensee indicates that the energy balance technique and arching theory have been used to qualify'ome masonry walls. The NRC, at present, does not accept the application of these techniques .to masonry walls in nuclear, power plants in the absence of conclusive evidence to )ustify this application. The Licensee is requested to indicate the number of"walls which have been analyzed by each of these techniques. | |||
==Reference:== | ==Reference:== | ||
'I (5)R.E..Uhrig letter to J.P.0,'.Reilly, NRC, dated April 3, 1981 (L-81-153) | 'I (5) R. E.. Uhrig letter to J. P. 0,'.Reilly, NRC, dated April 3, 1981 (L-81-153) | ||
RESPONSE A total'f 55 masonry walls were qualified using, arching theory;24 walls were qualified using energy balance technique. | |||
UESTION l.Energy Balance Technique o For the walls which were analyzed by using the energy balance technique, provide technical basis to ensure that the ductile mode of failure will take place (if they fail). | ===RESPONSE=== | ||
Qt o Provide Justification and test data (if available) to validate the applicability of the energy balance technique'to the masonry structures, at Turkey Point Units 3 and 4 with particular emphasis on the following areas: a.nature of the load b.boundary, conditions c.material strengths d.;size of test walls RESPONSE.Energy Balance Technique o The energy balance technique is used to analyze masonry walls subjected to out-of-plane loads.For this particular loading condition a reinforced.concrete block wall is a ductile structure,.provided a flexural type of failure occurs with tensile yielding of the steel (Ref..1).Flexural failure'by yielding of steel is: ensured, by checki'ng the compressive stress in the block to determine that its crushing strength is not exceeded.Experimental work performed by Sheppard (Ref.2)indicates"considerable ductility" in concrete block walls having reinforcement ratios of 0.15%or greater.All walls analyzed by energy balance at Turkey Point meet this criteria. | A total'f 55 masonry walls were qualified using, arching theory; 24 walls were qualified using energy balance technique. | ||
Qi o a)The energy balance technique was, developed to analyze ductile structures subjected to seismic loads (Ref.3).At Turkey Point energy balance is used primarily to determine the ability of reinforced masonry walls to resist earthquake loadings.b)c)d)Boundary conditions, material strengths and wall size are all conditions that quantitatively affect the response of a particular wall.In order to apply the energy balance technique, the wall need only be shown to qualitatively respond in a ductile manner.It is the inelastic energy absorption associated with a ductile response which is the foundation of this method of analysis.Actual physical evidence in support of the energy balance technique is cited in Reference 4.This reference investigates the ductile failure of catalytic cracking towers affected'y the 1952 Arvin-Tehachapi earthquake. | UESTION | ||
The study shows"general agreement between observed and computed values" of displacement. | : l. Energy Balance Technique o For the walls which were analyzed by using the energy balance technique, provide technical basis to ensure that the ductile mode of failure will take place (if they fail). | ||
Qt o Provide Justification and test data (if available) to validate the applicability of the energy balance technique 'to the masonry structures, at Turkey Point Units 3 and 4 with particular emphasis on the following areas: | |||
: a. nature of the load | |||
: b. boundary, conditions | |||
: c. material strengths | |||
: d. ;size of test walls | |||
===RESPONSE=== | |||
.Energy Balance Technique o The energy balance technique is used to analyze masonry walls subjected to out-of-plane loads. For this particular loading condition a reinforced .concrete block wall is a ductile structure, .provided a flexural type of failure occurs with tensile yielding of the steel (Ref.. 1). Flexural failure 'by yielding of steel is: ensured, by checki'ng the compressive stress in the block to determine that its crushing strength is not exceeded. Experimental work performed by Sheppard (Ref. 2) indicates "considerable ductility" in concrete block walls having reinforcement ratios of 0.15% or greater. All walls analyzed by energy balance at Turkey Point meet this criteria. | |||
Qi o a) The energy balance technique was, developed to analyze ductile structures subjected to seismic loads (Ref. 3). At Turkey Point energy balance is used primarily to determine the ability of reinforced masonry walls to resist earthquake loadings. | |||
b) c) d) Boundary conditions, material strengths and wall size are all conditions that quantitatively affect the response of a particular wall. In order to apply the energy balance technique, the wall need only be shown to qualitatively respond in a ductile manner. It is the inelastic energy absorption associated with a ductile response which is the foundation of this method of analysis. | |||
Actual physical evidence in support of the energy balance technique is cited in Reference 4. This reference investigates the ductile failure of catalytic cracking towers affected'y the 1952 Arvin-Tehachapi earthquake. The study shows "general agreement between observed and computed values" of displacement. | |||
==References:== | ==References:== | ||
: 1) Scrivener, J. C., "Reinforced Masonry Seismic Behavior and Design," Bulletin of New Zealand Society for Earthquake Engineering, Vol. 5, No. 4, December, 1972. | |||
t Qi | |||
: 2) Sheppard, P., et. al. "The Influence of Horizontally-Placed Reinforcement on the Shear Strength and Ductility of Masonry Walls," 6th World Conference on Earthquake Engineering, New Delhi, India, 1977. | |||
: 3) 'Blume, J. A , Newmark, N. M., Corning, L. H., "Design of Multistory Reinforced Concrete Buildings for Earth-quake Motions," Portland Cement Association, Ill., 1961. | |||
: 4) Housner, G. W., "Limit Design of Structures to Resist Earthquakes", World Conference one Earthquake Engineering, Berkeley, California, 1956. | |||
10 | |||
~ i UESTION | |||
: 2. Arching Theory o Explain how the arching theory handles cyclic loading, especially P | |||
when the load is reversed. | |||
o Provide justification and test data (if available) to validate the applicability of the arching theory to the masonry structures at Turkey Point Plant Units 3 and 4 with particular emphasis on the* following areas: | |||
: a. nature of the load | |||
: b. boundary conditions | |||
: c. material strength | |||
: d. size of the test walls o If hinges are formed in the walls, the capability of the structures to resist in-plane shear force would be diminished, and shear failure might take place. This in-plane shear force would also reduce the out-of-plane stiffness. Explain how the effect of this phenomenon can be accurately, determined. | |||
~ ~ | |||
~ i l | |||
RESPONSES | |||
: 2. Arching Theory o The arching theory of confined masonry walls is based on an extensive full scale test program sponsored by the. Defense Civil Preparedness Agency and the Veterans Administration (Ref. 1). | |||
The tests were performed in a "shock tunnel" in which a wall was "struck by a blast wave, the wave reflected from the wall returned to its source area, then re-reflected to strike the wall. again, about 0.3 sec after the first loading. Thus, these tests provided information on the ability of [arching] walls to withstand a number of reversing loading cycles." | |||
o a) At the Turkey Point Plant, arching theory was used primarily to determine the ability of masonry walls to resist uniform pressure loadings and earthquake loadings. The test data of Reference 1 provides justification for applying arching theory to masonry walls subjected to pressure loads. Reference 1 also cites field evidence which confirms the increased resistance to out-of-plane earthquake loads of confined [arching] masonry walls over non-arching walls. | |||
b) Boundary conditions required for the application of arching theory were validated by walkdown inspection of the block walls to be analyzed'. | |||
12 | |||
Qt J | |||
c) Experiments on arching have been performed on walls that t | |||
range in crushing strength from 1000 psi to 3000 psi (Ref. 2). | |||
The masonry walls at Turkey Point fall within this range. | |||
d) The tests of'eference 2 were, performed on walls arching over IP an 8'-0" span while those of Reference 1 spanned '8'-6"...We consider that application of arching theory to the range of wall sizes encountered at Turkey Point is appropriate. | |||
o At its present stage of development, arching theory cannot adequately account for the effect o'f hinge formation on in-plane shear capacity. However, the walls at Turkey Point analyzed by | |||
,the arching method are not designed to act as shear walls or as bearing walls, and therefore are not subjected to significant in-plane load. ,Thi's eliminates the, need to determine how in-plane and'ut-of-plane loads interact. | |||
References | |||
: 1) Gabrielsen, B. L., Kaplan, K. "Arching in Masonry Walls Subjected to Out-of-Plane Forces," Earthquake Resistance Construction, National Workshop, of'asonry NBS 106, 1976. | |||
: 2) McKee, K. E ,,Sevin, E., "Design of Masonry Walls for Blast Loading," ASCE Structural Journal, January, 1958. | |||
13 | |||
P Attachment Page 1 of 6 l | |||
DESCRIPTION OF FORTRAN COMPUTER CODE INTRODUCTION A fortran computer code "Block @elis" has been developed to analyze block walls for axial load and flexural effects due to external and/or seismic loading The block wall is analyzed as a simplified three degree of freedom beam model. The modal analysis technique is used in conjunction with the response spectrum method to obtain the seismic response of the wall model. An iterative method is used to determine the actual stress and'ection properties (effective moment of inertia) of a wall section. Convergence criteria is established to verify that the assumed section condition resultS in the same inertial loading for two seccessive.iterations. | |||
The working stress method for concrete analysis is used for stress calculitions. | The working stress method for concrete analysis is used for stress calculitions. | ||
Finally, the calculated stresses are checked against the established allowables. | Finally, the calculated stresses are checked against the established allowables. | ||
1'Determination of Section State (Cracked vs'ncracked) | 1 ' Determination of Section State (Cracked vs'ncracked) | ||
Iteration Procedure 1.For the first iteration, the wall is assumed uncracked 2 As a result of.Step 1, and based on the calculated inertial forces, the section is checked'or cracking.3.If cracked conditions exist, an effective moment of inertia is determined using, the following ACI Formula: Ie | Iteration Procedure | ||
: 1. For the first iteration, the wall is assumed uncracked 2 As a result of. Step 1, and based on the calculated inertial forces, the section is checked'or cracking. | |||
~ | : 3. If cracked conditions exist, an effective moment of inertia is determined using, the following ACI Formula: | ||
',The stress calculations are performed for the final configration oi the section using working stress methods.'Based on inertial loads, applied external loads, and the computed section atiffness, the, beam model deflection is determined. | Mcr 3 Ie It + Icr Ma Ma Mcr fr r | ||
1.4 Governin Codes 1.ACI 531-79 and commentary. | where, Mcr Uncracked moment capacity. | ||
2.Uniform Building Code, 1970 edition.3.Other codes as specified. | Ma ~ Applied maximum moment on the wall. | ||
2o hNALYTICAL PROCEDURE 2 1 Block Mall Stress Calculation | It ~ Moment of inertia. of transformed uncracked section. | ||
~I e~,'e | Icr ~ Moment of inertia of the cracked section. | ||
~~~Bending moment FHB~Allowable masonry compressive stress due to bending FiA~Allouable masonry compressive stress due to axial force fNB~."1asonry compressive stress due to bending i.'1A~Masonry compressive stress due to axial force IUCR~Uncracked moment of inertia ICR~Cracked moment of inertia YCU~Distance to extreme fiber in compression (uncracked) | fr ~ Modulus of rupure. | ||
YTU~Distance to extreme fiber in tension (uncracked) | y ~ Distance of neutral plane from tension face. | ||
YCCR~Distance to extreme fiber in compression (cracked)YTCR~Distance to extreme fiber in tension (cracked)AC~Transformed compressive area of section NS.'1~Modular ratio for steel 2 2 Ei en Value Solution and Res onse Calculation The following two matrices are determined based upon boundary conditions and structural properties. | : 4. A new iteration is initiated to recompute the frequencies, mode shapes and modal participation factors | ||
Flexibility matrix~[FJ Mass Matrix-PN I)Calculate transformation matrix f4'1~~f44) | : 5. The procedure is repeated until convergence is achieved. | ||
I~I | 1 2 Seismic Anal sis The wall is represented by a three degree of freedom simplified beam model A response spectrum analysis is performed yielding the inertial loading to be imposed on the system. | ||
t Attachment | |||
with column pivoting, calculate the structural stiffness matrix.tk]tF 1]3)Calculate transformed stiffness matrix tk]such that: tk]NNM tk]M&]T 4)Tridiagonalixe tk]using'Householder's method and evaluate the characteristic value equation:](~S)+Wi (4)-0 5)Calculate eigenvalues using Sturm sequence on the tridiagonal matrix.6)Calculate eigenvectors using Wilkinson's method on ithe tridiagonal matrix.7)(Wi)are the eigenval'ues | 4 | ||
.for the untransformed stiffness matrix tk].Calculate the frequencies: | ~ | ||
fi~Wi/2Q 8)Eigenvectors fgif must be transformed into the vectors j$i(of the | ~ | ||
'inertial loads and the seismic moments, shear and the corresponding deflection are calculated using the SRSS method since the modes are not closely spaced. | I | ||
~t 0 nt. | |||
~~f | ' | ||
Read)1aterial Properties: | ~ ~ | ||
Read Properties for Stress Calculations If Seismic Consideration is Not'Required | ~ Jr t Attachment Page 2 Four types of end conditions'are,allowed for the beam model used to perform of 6 l | ||
YES 600 Calculate Stresses Go to 500, next iteration. | ~ | ||
Maximum number of iterations | the analysis as shown schematically below: | ||
~10 600 Calculate mason'ry compression stress, tensile steel stress, compression steel stress.Print Stresses.Compare vith allovables. | Hais Pofnt M> M2 | ||
Flag overstressing. | 'M I- L/4 L/4 t L/4 L/4 "l M2 M M2 M3 Ml M3 L/3 L/3 L/3 1.3 Stress and Deflection Calculations | ||
Stop 5> | ',The stress calculations are performed for the final configration oi the section using working stress methods. 'Based on inertial loads, applied external loads, and the computed section atiffness, the, beam model deflection is determined. | ||
1.4 Governin Codes | |||
: 1. ACI 531-79 and commentary. | |||
: 2. Uniform Building Code, 1970 edition. | |||
: 3. Other codes as specified. | |||
2o hNALYTICAL PROCEDURE 2 1 Block Mall Stress Calculation The governing'quations for block wall stress calculations are developed using a working stress approach. | |||
S Effective Width Effective Mi t P DP | |||
' | |||
1 TC l YCU N. h I A | |||
)YXCR YZU Cracked Section Uncracked Section Idealised Section for Analysis | |||
~ I a | |||
e ~, 'e Attachment I Page 3 of 6 P | |||
'The section properties are calculated based on a transformed section vith the block material as a base Using the standard concrete analysis equilibrium concept namely: | |||
FORCES ~ 0 or Tension ~ Compression Moment ~ M ~ Section Internal Moment The follouing equations for stress calculation for bending are obtained: | |||
Case d : Uncracked section fHB ~ (H/IUCR) x YCU fST ~ NS11 x (N/IVCR) x (YTU-DS) fSC ~ NS.'1 x (H/IUCR) x (YCU-DP) | |||
Case k: Cracked section fNB ~ (M/ICR) x YCCR fST ~ NSM x (M/ICR) x (YTCR-DS) | |||
XSC ~ NSM x (M/ICR) x (YCCR-DP) | |||
Note I ~ For both Case A and Case B the axial compression stresses are calculated and interaction is checked. | |||
(fHA/FHA) + (fMB/FHB)~l 0 2~ For axial tension carries the tension., | |||
it is assumed that the reinforcing steel only a | |||
Definition of variables used in the above equations: | |||
~ ~ | |||
~ Bending moment FHB ~ Allowable masonry compressive stress due to bending FiA ~ Allouable masonry compressive stress due to axial force fNB ~ ."1asonry compressive stress due to bending i.'1A ~ Masonry compressive stress due to axial force IUCR ~ Uncracked moment of inertia ICR ~ Cracked moment of inertia YCU ~ Distance to extreme fiber in compression (uncracked) | |||
YTU ~ Distance to extreme fiber in tension (uncracked) | |||
YCCR ~ Distance to extreme fiber in compression (cracked) | |||
YTCR ~ Distance to extreme fiber in tension (cracked) | |||
AC ~ Transformed compressive area of section NS.'1 ~ Modular ratio for steel 2 2 Ei en Value Solution and Res onse Calculation The following two matrices are determined based upon boundary conditions and structural properties. | |||
Flexibility matrix ~ [FJ Mass Matrix -PN I) Calculate transformation matrix f4'1~ ~ f44 ) | |||
.i4 ~ | |||
I | |||
~ I | |||
t Attachment Page 4 | |||
: 2) Using Gauss elimination technique. with column pivoting, calculate the structural stiffness matrix. | |||
of 6 l | |||
tk] tF 1] | |||
: 3) Calculate transformed stiffness matrix tk] such that: | |||
tk] NNM tk] M&]T | |||
: 4) Tridiagonalixe tk] using 'Householder's method and evaluate the characteristic value equation: | |||
] (~S)+Wi (4) -0 | |||
: 5) Calculate eigenvalues using Sturm sequence on the tridiagonal matrix. | |||
: 6) Calculate eigenvectors using Wilkinson's method on ithe tridiagonal matrix. | |||
: 7) (Wi) are the eigenval'ues . for the untransformed stiffness matrix tk]. | |||
Calculate the frequencies: | |||
fi ~ Wi/2Q | |||
: 8) Eigenvectors fgif must be transformed into the vectors j$ | |||
untransformed, matrix: | |||
i( of the jg I lv'x] I 4 I | |||
: 9) Compute modal participation factors: | |||
(Rf) E | |||
: 10) The modal values of the inertia forces IPIiat the dynamic degrees of freedom for the ith mode are given by: | |||
IPIi ~ (Ri) (ai) gQ j)i) | |||
Ri ~ Participation factor for the ith mode ai ~ hcceleration for the i mode for the tt" sade i Node Shape ll) Using the calculated 'inertial loads and the seismic moments, shear and the corresponding deflection are calculated using the SRSS method since the modes are not closely spaced. | |||
~ t 0 nt. | |||
I | |||
~ ~ f tachment 1 Page 5 of 6 3.0 COMPUTER PROGRAM 3.l Floe Chart of the "Block Mall" Pro ram Start Read Problem Title Define Initial Conditions of Section No External Load Type 0 | |||
'xternal Load Applied Type 1 If KType EQ. 0 MS 102 Read Axial Load P Read Shear Force V Read Bending Noment M Read Section Properties: | |||
102 Read )1aterial Properties: | |||
Read Properties for Stress Calculations If Seismic Consideration is MS Not 'Required 103 Input Floor Response Spectrum as a 2 D Array FRS (I, J) Frequency versus Acceleration | |||
0 Qi | |||
Attachment 1 103 Input Boundary Conditions for Page 6 of 6 Simplified Beam Element i) Calculate the first three Frequencies of the beam model 500 ii) Extract the "G" values iii) Use SRSS to compute final inertia loads. | |||
Determine Total Bending Compare with moment from previous step. | |||
Is convergence satisfied? YES 600 Calculate Stresses Go to 500, next iteration. | |||
Maximum number of iterations ~ 10 600 Calculate mason'ry compression stress, tensile steel stress, compression steel stress. | |||
Print Stresses. Compare vith allovables. Flag overstressing. | |||
Stop | |||
F k | |||
5> | |||
,l (1}} |
Revision as of 10:34, 22 October 2019
ML17341B200 | |
Person / Time | |
---|---|
Site: | Turkey Point ![]() |
Issue date: | 05/27/1982 |
From: | BECHTEL GROUP, INC. |
To: | |
Shared Package | |
ML17341B199 | List: |
References | |
REF-SSINS-6820 IEB-80-11, NUDOCS 8206020530 | |
Download: ML17341B200 (38) | |
Text
RESPONSE TO NRC REQUEST FOR ADDITIONAL INFORMATION MASONRY WALL RE-EVALUATION (NRC IE BULLETIN 80-11)
FLORIDA POWER 5 LIGHT COMPANY TURKEY POINT PLANT UNITS NO. 3 8 4 BECHTEL POWER CORPORATION GAITHERSBURG~ MARYLAND MAY, 1982 g20b0205~ 0 0g2052 5ppp520, pDR pgoct pDR 8
r' Jt i
t i
UESTION
- l. Indicate whether the construction practice for the masonry structures at Turkey Point Plant Units 3 and 4 was in conformance with the provisions specified for the special inspection category in ACI 531-79. If,not, explain and justify .the use of, allowable stresses.
RESPONSE
The use of allowable stresses per the ACI 531-79 special inspection category is valid for the following reasons:
(a) Masonry walls were constructed by personnel working from project drawings and specifications. These documents delineate requirements for handling, storage, preparation of materials, and erection (several of these requirements are outlined in the Turkey Point Units 3 8 4 .Final Report in Response to IE Bulletin 80-11). These requirements were included to ensure the use of proper materials and workmanship and to prevent voids or other weaknesses. The quality control inherent in nuclear power plant construction, provides assurance of good workmanship.
(b) Field Engineers (responsible for monitoring the progress of work and reporting any errors or inadequacies in:materials or workmanship) were on the site during the construction of the masonry walls.
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(c) The masonry wall walkdown procedure for Turkey Point required the recording of observations:of wall conditions (cracks, condition of mortar go'ints, etc.). The walls were generally reported to be in good condition.
UESTION,
- 2. With reference to Section,II .of Reference 5, justify the proposed 67%
increase in allowable stresses for masonry in tension and shear. For factored loads, the,SEB criteria suggest the following factors:
Shear reinforcement and/or bolts 1.5 Masonry tension parallel to bed )oint 1.5 Shear carried by masonry 1.3 Masonry tension perpendicular to bed joint for reinforced masonry for unreinforced masonry 1.3
Reference:
(5) R. E. Uhrig letter to J. P. O'Reilly, NRC, sedated April 3,
'1981 (L-81-.153)
RESPONSE
The 67% increase in allowable stresses for masonry shear and tension for factored loads was chosen in March, 1981, prior to the issuance of
the SEB criteria which was published in July, 1981. Code allowable stresses for shear and tension were increased by 67X for load combinations involving abnormal and/or extreme environmental conditions which are credible but highly improbable. Since the code allowable stresses (ACI 531-79, Chapter 10.1 of the commentary) are generally associated with a safety factor of 3, the 1.67 increase provides a factor of safety against failure of 1.8 (3
- 1.67). In light of the nature of the loads considered here, a factor of safety of 1.8's conservative and allows sufficient margin for abnormal and/or extreme conditions.
UESTION
- 3. With reference to Page 10 of Reference 5, explain how modes higher than the fundamental mode were accounted for. Provide a sample calculation.
Reference:
(5) R. E.. Uhrig letter to J. P. O'Reilly, NRC,,dated April 3, 1981 (L-81-153)
RESPONSE
A FORTRAN computer code was developed to analyze masonry walls for axial load and flexural effects due to external and/or seismic loading. The modal analysis technique is used in conjunction with
Oi the response spectrum method to obtain the seismic response of the wall model. The responses of the first three modes of the beam model are combined by the SRSS method to obtain the total response. The results of the computer code developed were verified against a nine
,mode solution. In lieu of a sample calculation (which .would show only the input and output of the computer code), Attachment 1 is enclosed to provi'de a description and flow chart of the referenced FORTRAN computer code.
When the energy balance technique was used, the total required strain energy was calculated from the loads and deflections determined by the computer code referenced above. As already noted, this, program considers the first three modes of the beam model.
When the arching method was used, the seismic inertial loading was t
obtained from the seismic acceleration corresponding to the natural frequency of the wall. The natural frequency and, by extension, the seismic loading were conservatively determined from an upper bound value of the wall deflection.
UESTION
- 4. Explain how the openings and attachments from piping or equipment are accounted for in the beam analysis.
4
RESPONSE
(a) ~0enfn s Block wall masses above openings and/or penetrations are equally distributed to the strips adjacent to the opening on both, sides as additional mass for the purpose of analysis.
(b) Loads due to i in and/or attachments:
(i) The concentrated loads due to piping and/or attachments were considered as additional masses when elastic analysis and/or energy balance techniques were applied.
(ii) When the arching theory was applied, an equivalent distributed load q was substituted for the concentrated load and was added to the sei'smic inertial load. The equivalent'istributed load was defined as q ~ 'SM 2
where ME, maximum bending moment due to all external loads L wall span
i This method was used only if M were located in the middle third of the .span, or if M were not greater than 20% of the maximum seismic moment based on elastic considerations.
Where the concentrated load did not meet either of the above requirements, the arching theory was not considered applicable.
UESTION
'5. Indicate how earthquake forces in three directions were considered in the analysis.
RESPONSE
In accordance with FSAR criteria, seismic forces, were considered acting simultaneously in the vertical and in any horizontal direction.
In-plane stresses due. to seismic loads were generally insignificant; fo'r two load-bearing walls which were analyzed by elastic methods, the out-of-plane horizontal loads were determined to be the governing horizontal loads. Therefore, seismic load due to the horizontal earthquake component in the out-of-plane direction was:combined with the vertical seismic load using the absolute sum method in the consideration of seismic loads for the masonry wall .evaluation.
UESTION
- 6. In Reference 5,, the Licensee indicates that the energy balance technique and arching theory have been used to qualify'ome masonry walls. The NRC, at present, does not accept the application of these techniques .to masonry walls in nuclear, power plants in the absence of conclusive evidence to )ustify this application. The Licensee is requested to indicate the number of"walls which have been analyzed by each of these techniques.
Reference:
'I (5) R. E.. Uhrig letter to J. P. 0,'.Reilly, NRC, dated April 3, 1981 (L-81-153)
RESPONSE
A total'f 55 masonry walls were qualified using, arching theory; 24 walls were qualified using energy balance technique.
UESTION
- l. Energy Balance Technique o For the walls which were analyzed by using the energy balance technique, provide technical basis to ensure that the ductile mode of failure will take place (if they fail).
Qt o Provide Justification and test data (if available) to validate the applicability of the energy balance technique 'to the masonry structures, at Turkey Point Units 3 and 4 with particular emphasis on the following areas:
- a. nature of the load
- b. boundary, conditions
- c. material strengths
- d. ;size of test walls
RESPONSE
.Energy Balance Technique o The energy balance technique is used to analyze masonry walls subjected to out-of-plane loads. For this particular loading condition a reinforced .concrete block wall is a ductile structure, .provided a flexural type of failure occurs with tensile yielding of the steel (Ref.. 1). Flexural failure 'by yielding of steel is: ensured, by checki'ng the compressive stress in the block to determine that its crushing strength is not exceeded. Experimental work performed by Sheppard (Ref. 2) indicates "considerable ductility" in concrete block walls having reinforcement ratios of 0.15% or greater. All walls analyzed by energy balance at Turkey Point meet this criteria.
Qi o a) The energy balance technique was, developed to analyze ductile structures subjected to seismic loads (Ref. 3). At Turkey Point energy balance is used primarily to determine the ability of reinforced masonry walls to resist earthquake loadings.
b) c) d) Boundary conditions, material strengths and wall size are all conditions that quantitatively affect the response of a particular wall. In order to apply the energy balance technique, the wall need only be shown to qualitatively respond in a ductile manner. It is the inelastic energy absorption associated with a ductile response which is the foundation of this method of analysis.
Actual physical evidence in support of the energy balance technique is cited in Reference 4. This reference investigates the ductile failure of catalytic cracking towers affected'y the 1952 Arvin-Tehachapi earthquake. The study shows "general agreement between observed and computed values" of displacement.
References:
- 1) Scrivener, J. C., "Reinforced Masonry Seismic Behavior and Design," Bulletin of New Zealand Society for Earthquake Engineering, Vol. 5, No. 4, December, 1972.
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- 2) Sheppard, P., et. al. "The Influence of Horizontally-Placed Reinforcement on the Shear Strength and Ductility of Masonry Walls," 6th World Conference on Earthquake Engineering, New Delhi, India, 1977.
- 3) 'Blume, J. A , Newmark, N. M., Corning, L. H., "Design of Multistory Reinforced Concrete Buildings for Earth-quake Motions," Portland Cement Association, Ill., 1961.
- 4) Housner, G. W., "Limit Design of Structures to Resist Earthquakes", World Conference one Earthquake Engineering, Berkeley, California, 1956.
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~ i UESTION
- 2. Arching Theory o Explain how the arching theory handles cyclic loading, especially P
when the load is reversed.
o Provide justification and test data (if available) to validate the applicability of the arching theory to the masonry structures at Turkey Point Plant Units 3 and 4 with particular emphasis on the* following areas:
- a. nature of the load
- b. boundary conditions
- c. material strength
- d. size of the test walls o If hinges are formed in the walls, the capability of the structures to resist in-plane shear force would be diminished, and shear failure might take place. This in-plane shear force would also reduce the out-of-plane stiffness. Explain how the effect of this phenomenon can be accurately, determined.
~ ~
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RESPONSES
- 2. Arching Theory o The arching theory of confined masonry walls is based on an extensive full scale test program sponsored by the. Defense Civil Preparedness Agency and the Veterans Administration (Ref. 1).
The tests were performed in a "shock tunnel" in which a wall was "struck by a blast wave, the wave reflected from the wall returned to its source area, then re-reflected to strike the wall. again, about 0.3 sec after the first loading. Thus, these tests provided information on the ability of [arching] walls to withstand a number of reversing loading cycles."
o a) At the Turkey Point Plant, arching theory was used primarily to determine the ability of masonry walls to resist uniform pressure loadings and earthquake loadings. The test data of Reference 1 provides justification for applying arching theory to masonry walls subjected to pressure loads. Reference 1 also cites field evidence which confirms the increased resistance to out-of-plane earthquake loads of confined [arching] masonry walls over non-arching walls.
b) Boundary conditions required for the application of arching theory were validated by walkdown inspection of the block walls to be analyzed'.
12
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c) Experiments on arching have been performed on walls that t
range in crushing strength from 1000 psi to 3000 psi (Ref. 2).
The masonry walls at Turkey Point fall within this range.
d) The tests of'eference 2 were, performed on walls arching over IP an 8'-0" span while those of Reference 1 spanned '8'-6"...We consider that application of arching theory to the range of wall sizes encountered at Turkey Point is appropriate.
o At its present stage of development, arching theory cannot adequately account for the effect o'f hinge formation on in-plane shear capacity. However, the walls at Turkey Point analyzed by
,the arching method are not designed to act as shear walls or as bearing walls, and therefore are not subjected to significant in-plane load. ,Thi's eliminates the, need to determine how in-plane and'ut-of-plane loads interact.
References
- 1) Gabrielsen, B. L., Kaplan, K. "Arching in Masonry Walls Subjected to Out-of-Plane Forces," Earthquake Resistance Construction, National Workshop, of'asonry NBS 106, 1976.
- 2) McKee, K. E ,,Sevin, E., "Design of Masonry Walls for Blast Loading," ASCE Structural Journal, January, 1958.
13
P Attachment Page 1 of 6 l
DESCRIPTION OF FORTRAN COMPUTER CODE INTRODUCTION A fortran computer code "Block @elis" has been developed to analyze block walls for axial load and flexural effects due to external and/or seismic loading The block wall is analyzed as a simplified three degree of freedom beam model. The modal analysis technique is used in conjunction with the response spectrum method to obtain the seismic response of the wall model. An iterative method is used to determine the actual stress and'ection properties (effective moment of inertia) of a wall section. Convergence criteria is established to verify that the assumed section condition resultS in the same inertial loading for two seccessive.iterations.
The working stress method for concrete analysis is used for stress calculitions.
Finally, the calculated stresses are checked against the established allowables.
1 ' Determination of Section State (Cracked vs'ncracked)
Iteration Procedure
- 1. For the first iteration, the wall is assumed uncracked 2 As a result of. Step 1, and based on the calculated inertial forces, the section is checked'or cracking.
- 3. If cracked conditions exist, an effective moment of inertia is determined using, the following ACI Formula:
Mcr 3 Ie It + Icr Ma Ma Mcr fr r
where, Mcr Uncracked moment capacity.
Ma ~ Applied maximum moment on the wall.
It ~ Moment of inertia. of transformed uncracked section.
Icr ~ Moment of inertia of the cracked section.
fr ~ Modulus of rupure.
y ~ Distance of neutral plane from tension face.
- 4. A new iteration is initiated to recompute the frequencies, mode shapes and modal participation factors
- 5. The procedure is repeated until convergence is achieved.
1 2 Seismic Anal sis The wall is represented by a three degree of freedom simplified beam model A response spectrum analysis is performed yielding the inertial loading to be imposed on the system.
4
~
~
I
'
~ ~
~ Jr t Attachment Page 2 Four types of end conditions'are,allowed for the beam model used to perform of 6 l
~
the analysis as shown schematically below:
Hais Pofnt M> M2
'M I- L/4 L/4 t L/4 L/4 "l M2 M M2 M3 Ml M3 L/3 L/3 L/3 1.3 Stress and Deflection Calculations
',The stress calculations are performed for the final configration oi the section using working stress methods. 'Based on inertial loads, applied external loads, and the computed section atiffness, the, beam model deflection is determined.
1.4 Governin Codes
- 1. ACI 531-79 and commentary.
- 2. Uniform Building Code, 1970 edition.
- 3. Other codes as specified.
2o hNALYTICAL PROCEDURE 2 1 Block Mall Stress Calculation The governing'quations for block wall stress calculations are developed using a working stress approach.
S Effective Width Effective Mi t P DP
'
1 TC l YCU N. h I A
)YXCR YZU Cracked Section Uncracked Section Idealised Section for Analysis
~ I a
e ~, 'e Attachment I Page 3 of 6 P
'The section properties are calculated based on a transformed section vith the block material as a base Using the standard concrete analysis equilibrium concept namely:
FORCES ~ 0 or Tension ~ Compression Moment ~ M ~ Section Internal Moment The follouing equations for stress calculation for bending are obtained:
Case d : Uncracked section fHB ~ (H/IUCR) x YCU fST ~ NS11 x (N/IVCR) x (YTU-DS) fSC ~ NS.'1 x (H/IUCR) x (YCU-DP)
Case k: Cracked section fNB ~ (M/ICR) x YCCR fST ~ NSM x (M/ICR) x (YTCR-DS)
XSC ~ NSM x (M/ICR) x (YCCR-DP)
Note I ~ For both Case A and Case B the axial compression stresses are calculated and interaction is checked.
(fHA/FHA) + (fMB/FHB)~l 0 2~ For axial tension carries the tension.,
it is assumed that the reinforcing steel only a
Definition of variables used in the above equations:
~ ~
~ Bending moment FHB ~ Allowable masonry compressive stress due to bending FiA ~ Allouable masonry compressive stress due to axial force fNB ~ ."1asonry compressive stress due to bending i.'1A ~ Masonry compressive stress due to axial force IUCR ~ Uncracked moment of inertia ICR ~ Cracked moment of inertia YCU ~ Distance to extreme fiber in compression (uncracked)
YTU ~ Distance to extreme fiber in tension (uncracked)
YCCR ~ Distance to extreme fiber in compression (cracked)
YTCR ~ Distance to extreme fiber in tension (cracked)
AC ~ Transformed compressive area of section NS.'1 ~ Modular ratio for steel 2 2 Ei en Value Solution and Res onse Calculation The following two matrices are determined based upon boundary conditions and structural properties.
Flexibility matrix ~ [FJ Mass Matrix -PN I) Calculate transformation matrix f4'1~ ~ f44 )
.i4 ~
I
~ I
t Attachment Page 4
- 2) Using Gauss elimination technique. with column pivoting, calculate the structural stiffness matrix.
of 6 l
tk] tF 1]
- 3) Calculate transformed stiffness matrix tk] such that:
tk] NNM tk] M&]T
- 4) Tridiagonalixe tk] using 'Householder's method and evaluate the characteristic value equation:
] (~S)+Wi (4) -0
- 5) Calculate eigenvalues using Sturm sequence on the tridiagonal matrix.
- 6) Calculate eigenvectors using Wilkinson's method on ithe tridiagonal matrix.
- 7) (Wi) are the eigenval'ues . for the untransformed stiffness matrix tk].
Calculate the frequencies:
fi ~ Wi/2Q
- 8) Eigenvectors fgif must be transformed into the vectors j$
untransformed, matrix:
i( of the jg I lv'x] I 4 I
- 9) Compute modal participation factors:
(Rf) E
- 10) The modal values of the inertia forces IPIiat the dynamic degrees of freedom for the ith mode are given by:
IPIi ~ (Ri) (ai) gQ j)i)
Ri ~ Participation factor for the ith mode ai ~ hcceleration for the i mode for the tt" sade i Node Shape ll) Using the calculated 'inertial loads and the seismic moments, shear and the corresponding deflection are calculated using the SRSS method since the modes are not closely spaced.
~ t 0 nt.
I
~ ~ f tachment 1 Page 5 of 6 3.0 COMPUTER PROGRAM 3.l Floe Chart of the "Block Mall" Pro ram Start Read Problem Title Define Initial Conditions of Section No External Load Type 0
'xternal Load Applied Type 1 If KType EQ. 0 MS 102 Read Axial Load P Read Shear Force V Read Bending Noment M Read Section Properties:
102 Read )1aterial Properties:
Read Properties for Stress Calculations If Seismic Consideration is MS Not 'Required 103 Input Floor Response Spectrum as a 2 D Array FRS (I, J) Frequency versus Acceleration
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Attachment 1 103 Input Boundary Conditions for Page 6 of 6 Simplified Beam Element i) Calculate the first three Frequencies of the beam model 500 ii) Extract the "G" values iii) Use SRSS to compute final inertia loads.
Determine Total Bending Compare with moment from previous step.
Is convergence satisfied? YES 600 Calculate Stresses Go to 500, next iteration.
Maximum number of iterations ~ 10 600 Calculate mason'ry compression stress, tensile steel stress, compression steel stress.
Print Stresses. Compare vith allovables. Flag overstressing.
Stop
F k
5>
,l (1