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*7–12. Use the moment-area theorems and determine the slope at A and displacement at C. El is constant. 7–13. Solve Prob. 7–12 using the conjugate-beam method. Probs. 7–12/13 6 kN 1.5 m- В -3 m- 3 m

*7–12. Use the moment-area theorems and determine the slope at A and displacement at C. El is constant. 7–13. Solve Prob. 7–12 using the conjugate-beam method. Probs. 7–12/13 6 kN 1.5 m- В -3 m- 3 m

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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Use the Moment-Area theorems and determine the slope at A and displacement at C. EI is constant. Draw the shear diagram, moment diagram, and deflection shape diagram in the process.

**Problem Description:** *7–12. Use the moment-area theorems and determine the slope at A and displacement at C. \(EI\) is constant. 7–13. Solve Prob. 7–12 using the conjugate-beam method. **Probs. 7–12/13 Diagram Explanation:** - A horizontal beam \(AB\) is supported by a hinge at \(A\) and a roller at \(B\). - A downward force of \(6 \, \text{kN}\) is applied at a point \(1.5 \, \text{m}\) from the left end of the beam. - The total length of the beam is \(4.5 \, \text{m}\), with \(3 \, \text{m}\) to the right of point \(C\). - Point \(C\) is located \(3 \, \text{m}\) from the left side of the beam, marked by a dot. - The beam is uniformly colored, indicating uniform material properties (constant \(EI\)). The task is to find the slope at point \(A\) and the displacement at point \(C\) using two different methods: moment-area theorems and the conjugate-beam method.
Transcribed Image Text:**Problem Description:** *7–12. Use the moment-area theorems and determine the slope at A and displacement at C. \(EI\) is constant. 7–13. Solve Prob. 7–12 using the conjugate-beam method. **Probs. 7–12/13 Diagram Explanation:** - A horizontal beam \(AB\) is supported by a hinge at \(A\) and a roller at \(B\). - A downward force of \(6 \, \text{kN}\) is applied at a point \(1.5 \, \text{m}\) from the left end of the beam. - The total length of the beam is \(4.5 \, \text{m}\), with \(3 \, \text{m}\) to the right of point \(C\). - Point \(C\) is located \(3 \, \text{m}\) from the left side of the beam, marked by a dot. - The beam is uniformly colored, indicating uniform material properties (constant \(EI\)). The task is to find the slope at point \(A\) and the displacement at point \(C\) using two different methods: moment-area theorems and the conjugate-beam method.
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