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| issue date = 08/15/2014 | | issue date = 08/15/2014 | ||
| title = Response to a Request for Additional Information Regarding the License Amendment Request Regarding Containment Divider Barrier Seal | | title = Response to a Request for Additional Information Regarding the License Amendment Request Regarding Containment Divider Barrier Seal | ||
| author name = Gebbie J | | author name = Gebbie J | ||
| author affiliation = American Electric Power, Indiana Michigan Power Co | | author affiliation = American Electric Power, Indiana Michigan Power Co | ||
| addressee name = | | addressee name = | ||
Line 19: | Line 19: | ||
=Text= | =Text= | ||
{{#Wiki_filter:INDIANA Indiana Michigan Power MICHIGAN Cook Nuclear Plant POWER0 One Cook Place A unit of American Electric Power IndianaMichigan Powercom August 15, 2014 AEP-NRC-2014-68 10 CFR 50.90 Docket Nos.: 50-315 50-316 U. S. Nuclear Regulatory Commission ATTN: Document Control Desk Washington, D. C. 20555-0001 Donald C. Cook Nuclear Plant Units 1 and 2 Response to a Request for Additional Information Regarding the License Amendment Request Regarding Containment Divider Barrier Seal | {{#Wiki_filter:INDIANA Indiana Michigan Power MICHIGAN Cook Nuclear Plant POWER0 One Cook Place A unit of American Electric Power IndianaMichigan Powercom August 15, 2014 AEP-NRC-2014-68 10 CFR 50.90 Docket Nos.: 50-315 50-316 U. S. Nuclear Regulatory Commission ATTN: Document Control Desk Washington, D. C. 20555-0001 Donald C. Cook Nuclear Plant Units 1 and 2 Response to a Request for Additional Information Regarding the License Amendment Request Regarding Containment Divider Barrier Seal | ||
==References:== | ==References:== | ||
: 1. Letter from J. P. Gebbie, Indiana Michigan Power Company (I&M), to U. S. Nuclear Regulatory Commission (NRC), "Donald C. Cook Nuclear Plant Unit 1 and Unit 2, License Amendment Request Regarding Containment Divider Barrier Seal," AEP-NRC-2013-50, dated November6,2013, Agencywide Documents Access and Management System (ADAMS)Accession No. ML13312A006. | : 1. Letter from J. P. Gebbie, Indiana Michigan Power Company (I&M), to U. S. Nuclear Regulatory Commission (NRC), "Donald C. Cook Nuclear Plant Unit 1 and Unit 2, License Amendment Request Regarding Containment Divider Barrier Seal," AEP-NRC-2013-50, dated November6,2013, Agencywide Documents Access and Management System (ADAMS) | ||
: 2. Letter from T. J. Wengert, NRC, to L. J. Weber, I&M, "Donald C. Cook Nuclear Plant, Units 1 and 2 -Request for Additional Information Concerning the Containment Divider Barrier Seal License Amendment Request (TAC Nos. MF3052 and MF3053)," dated May 15, 2014, ADAMS Accession No. ML14127A470. | Accession No. ML13312A006. | ||
: 2. Letter from T. J. Wengert, NRC, to L. J. Weber, I&M, "Donald C. Cook Nuclear Plant, Units 1 and 2 - Request for Additional Information Concerning the Containment Divider Barrier Seal License Amendment Request (TAC Nos. MF3052 and MF3053)," dated May 15, 2014, ADAMS Accession No. ML14127A470. | |||
: 3. Letter from J. P. Gebbie, I&M, to NRC, "Donald C. Cook Nuclear Plant Unit 1 and Unit 2, Response to a Request for Additional Information Regarding the License Amendment Request Regarding Containment Divider Barrier Seal," AEP-NRC-2014-31, dated June 13, 2014, ADAMS Accession No. ML14167A374. | : 3. Letter from J. P. Gebbie, I&M, to NRC, "Donald C. Cook Nuclear Plant Unit 1 and Unit 2, Response to a Request for Additional Information Regarding the License Amendment Request Regarding Containment Divider Barrier Seal," AEP-NRC-2014-31, dated June 13, 2014, ADAMS Accession No. ML14167A374. | ||
: 4. Electronic Mail from M. L. Chawla, NRC, to H. L. Etheridge, I&M, "Request for Additional Information | : 4. Electronic Mail from M. L. Chawla, NRC, to H. L. Etheridge, I&M, "Request for Additional Information - D. C. Cook Unit 1 and 2 - LAR - Containment Divider Barrier Seal - | ||
-D. C. Cook Unit 1 and 2 -LAR -Containment Divider Barrier Seal -MF3052/MF3053," dated July 31, 2014.By Reference 1, Indiana Michigan Power Company (I&M), the licensee for Donald C. Cook Nuclear Plant Units 1 and 2, submitted a request to amend the Technical Specifications (TS) to Facility Operating Licenses DPR-58 and DPR-74. I&M proposes to change TS 3.6.13, Divider Barrier Integrity, Surveillance Requirement 3.6.13.5 for the divider barrier seal inspection. | MF3052/MF3053," dated July 31, 2014. | ||
By Reference 2, the Nuclear Regulatory Commission (NRC) transmitted a request for additional information (RAI)regarding the proposed amendment. | By Reference 1, Indiana Michigan Power Company (I&M), the licensee for Donald C. Cook Nuclear Plant Units 1 and 2, submitted a request to amend the Technical Specifications (TS) to Facility Operating Licenses DPR-58 and DPR-74. I&M proposes to change TS 3.6.13, Divider Barrier Integrity, Surveillance Requirement 3.6.13.5 for the divider barrier seal inspection. By Reference 2, the Nuclear Regulatory Commission (NRC) transmitted a request for additional information (RAI) regarding the proposed amendment. By Reference 3, I&M responded to Reference 2. By AgP | ||
By Reference 3, I&M responded to Reference | |||
U. S. Nuclear Regulatory Commission AEP-NRC-2014-68 Page 2 Reference 4, the NRC transmitted an additional RAI regarding the proposed amendment. This letter provides I&M's response to Reference 4. Enclosure 1 to this letter provides an affirmation statement. Enclosure 2 to this letter provides I&M's response to Reference 4. | |||
This letter provides I&M's response to Reference | Copies of this letter and its enclosures are being transmitted to the Michigan Public Service Commission and Michigan Department of Environmental Quality, in accordance with the requirements of 10 CFR 50.91. There are no new regulatory commitments associated with this response. Should you have any questions, please contact Mr. Michael K. Scarpello, Regulatory Affairs Manager, at (269) 466-2649. | ||
Sincerely, Joel P. Gebbie Site Vice President TLC/kmh | |||
Enclosure 2 to this letter provides I&M's response to Reference 4.Copies of this letter and its enclosures are being transmitted to the Michigan Public Service Commission and Michigan Department of Environmental Quality, in accordance with the requirements of 10 CFR 50.91. There are no new regulatory commitments associated with this response. | |||
Should you have any questions, please contact Mr. Michael K. Scarpello, Regulatory Affairs Manager, at (269) 466-2649.Sincerely, Joel P. Gebbie Site Vice President TLC/kmh | |||
==Enclosures:== | ==Enclosures:== | ||
: 1. Affirmation | : 1. Affirmation | ||
: 2. Response to Request for Additional Information Regarding Containment Divider Barrier Seal License Amendment Request c: M. L. Chawla, NRC Washington, D.C.J. T. King, MPSC MDEQ -RMD/RPS NRC Resident Inspector C. D. Pederson, NRC Region III A. J. Williamson, AEP Ft. Wayne, w/o attachments Enclosure I to AEP-NRC-2014-68 AFFIRMATION I, Joel P. Gebbie, being duly sworn, state that I am Site Vice President of Indiana Michigan Power Company (I&M), that I am authorized to sign and file this request with the U. S. Nuclear Regulatory Commission on behalf of I&M, and that the statements made and the matters set forth herein pertaining to I&M are true and correct to the best of my knowledge, information, and belief.Indiana Michigan Power Company Joel P. Gebbie Site Vice President SWORN TO AND SUBSCRIBED BEFORE ME THIS \S DAY OF 2014 MC::omm iss otnres ub/ic-\ -Z My Commission Expires --..-\ | : 2. Response to Request for Additional Information Regarding Containment Divider Barrier Seal License Amendment Request c: M. L. Chawla, NRC Washington, D.C. | ||
By letter dated June 13, 2014, I&M provided a response (ADAMS Accession Number ML14167A374) to the U. S. Nuclear Regulatory Commission (NRC) staff's request for additional information (RAI), dated May 15, 2014 (ADAMS Accession Number ML14127A470). | J. T. King, MPSC MDEQ - RMD/RPS NRC Resident Inspector C. D. Pederson, NRC Region III A. J. Williamson, AEP Ft. Wayne, w/o attachments | ||
While reviewing I&M's RAI response, specifically, to Containment and Ventilations Systems Branch (SCVB) RAI-3, the NRC staff has additional questions. | |||
SCVB RAI-3 from NRC letter dated May 15, 2014 Please provide the NRC approved methodology used to determine that the acceptance criteria for the bypass area have been met.Response to SCVB RAI-3 from I&M's letter dated June 13, 2014 In case deficient connections are discovered, then the resulting divider barrier bypass would be determined, using an accepted standard, the American Institute of Steel Construction (AISC)Manual of Steel Construction, (tables for beam diagrams and formulas), as referenced in Updated Final Safety Analysis Report (UFSAR) Chapter 5, or using a simplified method that is more conservative, to determine the deflections of the as found configurations due to a postulated blowdown, and these deflections would be used to quantify the bypass area. The total bypass area for that unit is then compared against the Allowable Design Basis Bypass Area of seven square feet, per UFSAR 5.3.5.15.4. | Enclosure I to AEP-NRC-2014-68 AFFIRMATION I, Joel P. Gebbie, being duly sworn, state that I am Site Vice President of Indiana Michigan Power Company (I&M), that I am authorized to sign and file this request with the U. S. Nuclear Regulatory Commission on behalf of I&M, and that the statements made and the matters set forth herein pertaining to I&M are true and correct to the best of my knowledge, information, and belief. | ||
The assumed Analysis Value is 35 square feet, per UFSAR 14.3.4.1.3.1.1.e. | Indiana Michigan Power Company Joel P. Gebbie Site Vice President SWORN TO AND SUBSCRIBED BEFORE ME THIS \S DAY OF 2014 NotaryPulicState of jt~a cotnry Ot Berrien-(421 my co Mmissiofl EcireS 0404 r1 MC::omm iss otnres ub/ic-\ -Z My Commission Expires *, - -..- \ | ||
Additional RAI from NRC electronic mail dated July 31, 2014 The NRC staff has the following questions | |||
An example is provided below to demonstrate the conservative nature of a simplified method as it uses the area of two triangles instead of computing the integral of the actual curved deflection shape. A simplified method would be more conservative as it would use a model that produces a larger deflection and area. | Enclosure 2 to AEP-NRC-2014-68 RESPONSES TO REQUEST FOR ADDITIONAL INFORMATION REGARDING CONTAINMENT DIVIDER BARRIER SEAL LICENSE AMENDMENT REQUEST By letter dated November 6, 2013 (Agencywide Documents Access and Management System (ADAMS) Accession Number ML13312A006), Indiana Michigan Power Company (I&M), the licensee for Donald C. Cook Nuclear Plant Unit 1 and Unit 2, submitted a request to amend the Technical Specifications (TS) to Facility Operating Licenses DPR-58 and DPR-74. I&M proposes to change TS 3.6.13, Divider Barrier Integrity, Surveillance Requirement 3.6.13.5 for the divider barrier seal inspection. By letter dated June 13, 2014, I&M provided a response (ADAMS Accession Number ML14167A374) to the U. S. Nuclear Regulatory Commission (NRC) staff's request for additional information (RAI), dated May 15, 2014 (ADAMS Accession Number ML14127A470). While reviewing I&M's RAI response, specifically, to Containment and Ventilations Systems Branch (SCVB) RAI-3, the NRC staff has additional questions. | ||
SCVB RAI-3 from NRC letter dated May 15, 2014 Please provide the NRC approved methodology used to determine that the acceptance criteria for the bypass area have been met. | |||
The Minimum Analysis Value is 35 square feet, per UFSAR 14.3.4.1.3.1.1.e. | Response to SCVB RAI-3 from I&M's letter dated June 13, 2014 In case deficient connections are discovered, then the resulting divider barrier bypass would be determined, using an accepted standard, the American Institute of Steel Construction (AISC) | ||
First example: For a model using a fixed beam, an exact structural analysis using an AISC formula is shown as follows: 15. BEAM FIXED AT BOTH ENDS-UNIFORMLY DISTRIBUTED | Manual of Steel Construction, (tables for beam diagrams and formulas), as referenced in Updated Final Safety Analysis Report (UFSAR) Chapter 5, or using a simplified method that is more conservative, to determine the deflections of the as found configurations due to a postulated blowdown, and these deflections would be used to quantify the bypass area. The total bypass area for that unit is then compared against the Allowable Design Basis Bypass Area of seven square feet, per UFSAR 5.3.5.15.4. The assumed Analysis Value is 35 square feet, per UFSAR 14.3.4.1.3.1.1.e. | ||
-LOADS Equivalent Tabular Load ....R=V ..........Vx M max.(atends)........ | Additional RAI from NRC electronic mail dated July 31, 2014 The NRC staff has the following questions regardingthe above response provided by the licensee: | ||
a) What is the "simplifiedmethod" and what standardis this based on? | |||
b) How will it be determined that this simplified method is more conservative than the American Institute of Steel Construction (AISC) Manual of Steel Construction, as referenced in SCVB RAI-3 response? | |||
Response to Additional RAI from NRC electronic mail dated July 31, 2014 The simplified method is also based on the AISC standard. An example is provided below to demonstrate the conservative nature of a simplified method as it uses the area of two triangles instead of computing the integral of the actual curved deflection shape. A simplified method would be more conservative as it would use a model that produces a larger deflection and area. | |||
to AEP NRC 2014-68 Page 2 In case deficient connections are discovered, then a structural analysis would be performed, via AISC Manual of Steel Construction (tables for beam diagrams and formulas), or using a more conservative method also based on the AISC standard, to determine the deflections of the deficient configurations due to a postulated blowdown, and these deflections would be used to compute the additional bypass area. The total bypass area for the affected unit is then updated and compared against the Allowable Design Basis Bypass Area of seven square feet, per UFSAR 5.3.5.15.4. The Minimum Analysis Value is 35 square feet, per UFSAR 14.3.4.1.3.1.1.e. | |||
First example: For a model using a fixed beam, an exact structural analysis using an AISC formula is shown as follows: | |||
: 15. BEAM FIXED AT BOTH ENDS-UNIFORMLY DISTRIBUTED | |||
- LOADS 2wi Equivalent Tabular Load .... | |||
3 R=V . . . . . . . . . . | |||
Vx M max.(atends)........ = 12 2 | |||
w1 M1 (atcenter)......... 24 | |||
=-ff- (61x fiXZ) | |||
Amax. (at center)....... | Amax. (at center)....... | ||
AX ........... | 384E1 AX . . . . . . . . . . . W24E (ref. AISC Manual of Steel Construction 7 th edition) | ||
As shown in the diagram #15 above, the deflection along any point of the beam is A, = wx 2(L - x) 2 / 24EI Where: | |||
w = distributed load along the beam x = variable distance from one of the beam supports L = total length of the beam E = modulus of elasticity of the beam | |||
/ = moment of inertia of the beam to AEP NRC 2014-68 Page 3 The beam's deflected shape and assumed bypass area are shown in the following sketch: | |||
L j Ji | |||
-7 wL (load) | |||
Deflected shape and assumed bypass area A1 To determine the assumed area of the divider barrier bypass from diagram #15, this requires computing the integral of this formula with respect to "x," and this is shown as A, = f [(wL 2x 2 - 2wLx3 + wx4) / 24EI] = (wL2x 3 / 72E0) - (wLx 4 / 48EI) + (wx 5 / 120EI) | |||
Consequently, for the length of the beam from x = 0 to L, the total bypass would be computed as A, = wL5 / 720EI Second example: Alternately, a simplified, conservative structural analysis using an AISC formula for two cantilever beams (end-to-end) is shown as follows: | |||
: 19. CANTILEVER BEAM-UNIFORMLY DISTRIBUTED LOAD Equivalent Tabular Loa l .4wl R=V Vx ......... | |||
wlZ M max.(at fixed end) 2 Mx .. ....... W2 w14 Amax. (at free end) 8E! .. | |||
AX . . . . . . . . . . W X -43 +34 3 | |||
= 4E1 x 4 3l | |||
Enclosure 2 to AEP NRC 2014-68 Page 4 (ref. AISC Manual of Steel Construction 7 th edition) | |||
As shown in the diagram #19 above, the maximum deflection is Amax = wL4 / 8El The beam's deflected shape and assumed bypass area are shown in the following sketch: | |||
LU2 L/2 wL/2 (load) wL/2 (load) | |||
A max Deflected Assumed bypass area A 2 To determine the assumed area of the divider barrier bypass from diagram #19, the area of two triangles along a beam with length L would be conservatively computed. | |||
In this case, the maximum deflection would be located at point L12, (midpoint of the beam), and the total bypass would be computed as A 2 = (2) [w(LU2) 4 / 8EI] (L/2) (0.5) = wL 5 / 256EI Therefore, the assumed bypass area derived by using the simplified method based upon diagram #19 (two cantilever beams) would be approximately three times larger than the bypass area calculated by the exact structural analysis method based upon diagram #15 (fixed beam) and thus would be more conservative.}} |
Latest revision as of 02:17, 4 November 2019
ML14230A678 | |
Person / Time | |
---|---|
Site: | Cook ![]() |
Issue date: | 08/15/2014 |
From: | Gebbie J American Electric Power, Indiana Michigan Power Co |
To: | Document Control Desk, Office of Nuclear Reactor Regulation |
References | |
TAC MF3052, TAC MF3053 AEP-NRC-2014-68 | |
Download: ML14230A678 (7) | |
Text
INDIANA Indiana Michigan Power MICHIGAN Cook Nuclear Plant POWER0 One Cook Place A unit of American Electric Power IndianaMichigan Powercom August 15, 2014 AEP-NRC-2014-68 10 CFR 50.90 Docket Nos.: 50-315 50-316 U. S. Nuclear Regulatory Commission ATTN: Document Control Desk Washington, D. C. 20555-0001 Donald C. Cook Nuclear Plant Units 1 and 2 Response to a Request for Additional Information Regarding the License Amendment Request Regarding Containment Divider Barrier Seal
References:
- 1. Letter from J. P. Gebbie, Indiana Michigan Power Company (I&M), to U. S. Nuclear Regulatory Commission (NRC), "Donald C. Cook Nuclear Plant Unit 1 and Unit 2, License Amendment Request Regarding Containment Divider Barrier Seal," AEP-NRC-2013-50, dated November6,2013, Agencywide Documents Access and Management System (ADAMS)
Accession No. ML13312A006.
- 2. Letter from T. J. Wengert, NRC, to L. J. Weber, I&M, "Donald C. Cook Nuclear Plant, Units 1 and 2 - Request for Additional Information Concerning the Containment Divider Barrier Seal License Amendment Request (TAC Nos. MF3052 and MF3053)," dated May 15, 2014, ADAMS Accession No. ML14127A470.
- 3. Letter from J. P. Gebbie, I&M, to NRC, "Donald C. Cook Nuclear Plant Unit 1 and Unit 2, Response to a Request for Additional Information Regarding the License Amendment Request Regarding Containment Divider Barrier Seal," AEP-NRC-2014-31, dated June 13, 2014, ADAMS Accession No. ML14167A374.
- 4. Electronic Mail from M. L. Chawla, NRC, to H. L. Etheridge, I&M, "Request for Additional Information - D. C. Cook Unit 1 and 2 - LAR - Containment Divider Barrier Seal -
MF3052/MF3053," dated July 31, 2014.
By Reference 1, Indiana Michigan Power Company (I&M), the licensee for Donald C. Cook Nuclear Plant Units 1 and 2, submitted a request to amend the Technical Specifications (TS) to Facility Operating Licenses DPR-58 and DPR-74. I&M proposes to change TS 3.6.13, Divider Barrier Integrity, Surveillance Requirement 3.6.13.5 for the divider barrier seal inspection. By Reference 2, the Nuclear Regulatory Commission (NRC) transmitted a request for additional information (RAI) regarding the proposed amendment. By Reference 3, I&M responded to Reference 2. By AgP
U. S. Nuclear Regulatory Commission AEP-NRC-2014-68 Page 2 Reference 4, the NRC transmitted an additional RAI regarding the proposed amendment. This letter provides I&M's response to Reference 4. Enclosure 1 to this letter provides an affirmation statement. Enclosure 2 to this letter provides I&M's response to Reference 4.
Copies of this letter and its enclosures are being transmitted to the Michigan Public Service Commission and Michigan Department of Environmental Quality, in accordance with the requirements of 10 CFR 50.91. There are no new regulatory commitments associated with this response. Should you have any questions, please contact Mr. Michael K. Scarpello, Regulatory Affairs Manager, at (269) 466-2649.
Sincerely, Joel P. Gebbie Site Vice President TLC/kmh
Enclosures:
- 1. Affirmation
- 2. Response to Request for Additional Information Regarding Containment Divider Barrier Seal License Amendment Request c: M. L. Chawla, NRC Washington, D.C.
J. T. King, MPSC MDEQ - RMD/RPS NRC Resident Inspector C. D. Pederson, NRC Region III A. J. Williamson, AEP Ft. Wayne, w/o attachments
Enclosure I to AEP-NRC-2014-68 AFFIRMATION I, Joel P. Gebbie, being duly sworn, state that I am Site Vice President of Indiana Michigan Power Company (I&M), that I am authorized to sign and file this request with the U. S. Nuclear Regulatory Commission on behalf of I&M, and that the statements made and the matters set forth herein pertaining to I&M are true and correct to the best of my knowledge, information, and belief.
Indiana Michigan Power Company Joel P. Gebbie Site Vice President SWORN TO AND SUBSCRIBED BEFORE ME THIS \S DAY OF 2014 NotaryPulicState of jt~a cotnry Ot Berrien-(421 my co Mmissiofl EcireS 0404 r1 MC::omm iss otnres ub/ic-\ -Z My Commission Expires *, - -..- \
Enclosure 2 to AEP-NRC-2014-68 RESPONSES TO REQUEST FOR ADDITIONAL INFORMATION REGARDING CONTAINMENT DIVIDER BARRIER SEAL LICENSE AMENDMENT REQUEST By letter dated November 6, 2013 (Agencywide Documents Access and Management System (ADAMS) Accession Number ML13312A006), Indiana Michigan Power Company (I&M), the licensee for Donald C. Cook Nuclear Plant Unit 1 and Unit 2, submitted a request to amend the Technical Specifications (TS) to Facility Operating Licenses DPR-58 and DPR-74. I&M proposes to change TS 3.6.13, Divider Barrier Integrity, Surveillance Requirement 3.6.13.5 for the divider barrier seal inspection. By letter dated June 13, 2014, I&M provided a response (ADAMS Accession Number ML14167A374) to the U. S. Nuclear Regulatory Commission (NRC) staff's request for additional information (RAI), dated May 15, 2014 (ADAMS Accession Number ML14127A470). While reviewing I&M's RAI response, specifically, to Containment and Ventilations Systems Branch (SCVB) RAI-3, the NRC staff has additional questions.
SCVB RAI-3 from NRC letter dated May 15, 2014 Please provide the NRC approved methodology used to determine that the acceptance criteria for the bypass area have been met.
Response to SCVB RAI-3 from I&M's letter dated June 13, 2014 In case deficient connections are discovered, then the resulting divider barrier bypass would be determined, using an accepted standard, the American Institute of Steel Construction (AISC)
Manual of Steel Construction, (tables for beam diagrams and formulas), as referenced in Updated Final Safety Analysis Report (UFSAR) Chapter 5, or using a simplified method that is more conservative, to determine the deflections of the as found configurations due to a postulated blowdown, and these deflections would be used to quantify the bypass area. The total bypass area for that unit is then compared against the Allowable Design Basis Bypass Area of seven square feet, per UFSAR 5.3.5.15.4. The assumed Analysis Value is 35 square feet, per UFSAR 14.3.4.1.3.1.1.e.
Additional RAI from NRC electronic mail dated July 31, 2014 The NRC staff has the following questions regardingthe above response provided by the licensee:
a) What is the "simplifiedmethod" and what standardis this based on?
b) How will it be determined that this simplified method is more conservative than the American Institute of Steel Construction (AISC) Manual of Steel Construction, as referenced in SCVB RAI-3 response?
Response to Additional RAI from NRC electronic mail dated July 31, 2014 The simplified method is also based on the AISC standard. An example is provided below to demonstrate the conservative nature of a simplified method as it uses the area of two triangles instead of computing the integral of the actual curved deflection shape. A simplified method would be more conservative as it would use a model that produces a larger deflection and area.
to AEP NRC 2014-68 Page 2 In case deficient connections are discovered, then a structural analysis would be performed, via AISC Manual of Steel Construction (tables for beam diagrams and formulas), or using a more conservative method also based on the AISC standard, to determine the deflections of the deficient configurations due to a postulated blowdown, and these deflections would be used to compute the additional bypass area. The total bypass area for the affected unit is then updated and compared against the Allowable Design Basis Bypass Area of seven square feet, per UFSAR 5.3.5.15.4. The Minimum Analysis Value is 35 square feet, per UFSAR 14.3.4.1.3.1.1.e.
First example: For a model using a fixed beam, an exact structural analysis using an AISC formula is shown as follows:
- 15. BEAM FIXED AT BOTH ENDS-UNIFORMLY DISTRIBUTED
- LOADS 2wi Equivalent Tabular Load ....
3 R=V . . . . . . . . . .
Vx M max.(atends)........ = 12 2
w1 M1 (atcenter)......... 24
=-ff- (61x fiXZ)
Amax. (at center).......
384E1 AX . . . . . . . . . . . W24E (ref. AISC Manual of Steel Construction 7 th edition)
As shown in the diagram #15 above, the deflection along any point of the beam is A, = wx 2(L - x) 2 / 24EI Where:
w = distributed load along the beam x = variable distance from one of the beam supports L = total length of the beam E = modulus of elasticity of the beam
/ = moment of inertia of the beam to AEP NRC 2014-68 Page 3 The beam's deflected shape and assumed bypass area are shown in the following sketch:
L j Ji
-7 wL (load)
Deflected shape and assumed bypass area A1 To determine the assumed area of the divider barrier bypass from diagram #15, this requires computing the integral of this formula with respect to "x," and this is shown as A, = f [(wL 2x 2 - 2wLx3 + wx4) / 24EI] = (wL2x 3 / 72E0) - (wLx 4 / 48EI) + (wx 5 / 120EI)
Consequently, for the length of the beam from x = 0 to L, the total bypass would be computed as A, = wL5 / 720EI Second example: Alternately, a simplified, conservative structural analysis using an AISC formula for two cantilever beams (end-to-end) is shown as follows:
- 19. CANTILEVER BEAM-UNIFORMLY DISTRIBUTED LOAD Equivalent Tabular Loa l .4wl R=V Vx .........
wlZ M max.(at fixed end) 2 Mx .. ....... W2 w14 Amax. (at free end) 8E! ..
AX . . . . . . . . . . W X -43 +34 3
= 4E1 x 4 3l
Enclosure 2 to AEP NRC 2014-68 Page 4 (ref. AISC Manual of Steel Construction 7 th edition)
As shown in the diagram #19 above, the maximum deflection is Amax = wL4 / 8El The beam's deflected shape and assumed bypass area are shown in the following sketch:
LU2 L/2 wL/2 (load) wL/2 (load)
A max Deflected Assumed bypass area A 2 To determine the assumed area of the divider barrier bypass from diagram #19, the area of two triangles along a beam with length L would be conservatively computed.
In this case, the maximum deflection would be located at point L12, (midpoint of the beam), and the total bypass would be computed as A 2 = (2) [w(LU2) 4 / 8EI] (L/2) (0.5) = wL 5 / 256EI Therefore, the assumed bypass area derived by using the simplified method based upon diagram #19 (two cantilever beams) would be approximately three times larger than the bypass area calculated by the exact structural analysis method based upon diagram #15 (fixed beam) and thus would be more conservative.