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9-22 Solve Prob. 9-21 using Castigliano's theorem. Internal Moment Function M(x): The internal moment function in terms of the load P' and couple moment M' and externally applied load are shown on figures (a) and (b), respectively. Castigliano's Second Theorem: The displacement at C can be determined aM(x) and set P= P. ap' with Ac = aPJEI L/G)] PL 48E1 To determine the slope at B, with t setting M = 0. PL2 16FL OM dx aM(x₁) X₁ M(x₂) M' L' AM GXG) (-2)^ & -# Ans. and Ans. 12 MUJ-x 2/2 2 MOCX MOSM²+(£- #%₂ 6 (4) 244

9-22 Solve Prob. 9-21 using Castigliano's theorem. Internal Moment Function M(x): The internal moment function in terms of the load P' and couple moment M' and externally applied load are shown on figures (a) and (b), respectively. Castigliano's Second Theorem: The displacement at C can be determined aM(x) and set P= P. ap' with Ac = aPJEI L/G)] PL 48E1 To determine the slope at B, with t setting M = 0. PL2 16FL OM dx aM(x₁) X₁ M(x₂) M' L' AM GXG) (-2)^ & -# Ans. and Ans. 12 MUJ-x 2/2 2 MOCX MOSM²+(£- #%₂ 6 (4) 244

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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9-22. Solve Prob. 9-21 using Castigliano's theorem. Internal Moment Function M(x): The internal moment function in terms of the load P' and couple moment M' and externally applied load are shown on figures (a) and (b), respectively. Castigliano's Second Theorem: The displacement at C can be determined aM(x) ap' aM dx [M(M) +/G-04] ↓ with PL³ 48E1 To determine the slope at B, with setting M = 0. and set P = P. EI PL² 16EI OM dx OM EL ~ ) ) » (¹-2) & aM(x₂) X₁ M(x₂) aM' LaM Ans. and Ans. 12 M MOC+ PMOC-M²+(£- #%₂ Ti *44 6 244 aft 214
Transcribed Image Text:9-22. Solve Prob. 9-21 using Castigliano's theorem. Internal Moment Function M(x): The internal moment function in terms of the load P' and couple moment M' and externally applied load are shown on figures (a) and (b), respectively. Castigliano's Second Theorem: The displacement at C can be determined aM(x) ap' aM dx [M(M) +/G-04] ↓ with PL³ 48E1 To determine the slope at B, with setting M = 0. and set P = P. EI PL² 16EI OM dx OM EL ~ ) ) » (¹-2) & aM(x₂) X₁ M(x₂) aM' LaM Ans. and Ans. 12 M MOC+ PMOC-M²+(£- #%₂ Ti *44 6 244 aft 214
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