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7-10. Determine the slope at B and the maximum displacement of the beam. Use the moment-area theorems. Take E=200 GPa, I=550(106)mm4. 7-11. Solve Prob. 7–10 using the conjugate-beam method. Probs. 7–10/11 30 kN A В C 2 m -1 m–

7-10. Determine the slope at B and the maximum displacement of the beam. Use the moment-area theorems. Take E=200 GPa, I=550(106)mm4. 7-11. Solve Prob. 7–10 using the conjugate-beam method. Probs. 7–10/11 30 kN A В C 2 m -1 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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Determine the slope at B and maximum displacement of the beam. Use the moment-area theorems. Take E=200GPa and I=550X10^6 mm^4. Draw the shear diagram, moment diagram, and deflection diagram in the process.

### Beam Analysis Problem #### Problem Statement: *7–10.* Determine the slope at \( B \) and the maximum displacement of the beam. Use the moment-area theorems. Take \[ E = 200 \text{ GPa}, I = 550 \times 10^6 \text{ mm}^4. \] *7–11.* Solve Problem 7–10 using the conjugate-beam method. #### Diagram Description: The diagram shows a simply supported beam \( ABC \) with a total length of 3 meters. Point \( A \) is on the left end, and point \( C \) is on the right end. There is a concentrated load of 30 kN acting downward at point \( B \), which is located 2 meters from point \( A \) and 1 meter from point \( C \). #### Instructions: - Use the moment-area theorems to find the slope and displacement. - Alternatively, apply the conjugate-beam method for the same calculations. ### Notation: - \( E \): Modulus of Elasticity - \( I \): Moment of Inertia - \( A, B, C \): Points on the beam - \( 30 \text{ kN} \): Load applied at point \( B \) This problem helps in understanding how to analyze beam deflections and rotations using different methods.
Transcribed Image Text:### Beam Analysis Problem #### Problem Statement: *7–10.* Determine the slope at \( B \) and the maximum displacement of the beam. Use the moment-area theorems. Take \[ E = 200 \text{ GPa}, I = 550 \times 10^6 \text{ mm}^4. \] *7–11.* Solve Problem 7–10 using the conjugate-beam method. #### Diagram Description: The diagram shows a simply supported beam \( ABC \) with a total length of 3 meters. Point \( A \) is on the left end, and point \( C \) is on the right end. There is a concentrated load of 30 kN acting downward at point \( B \), which is located 2 meters from point \( A \) and 1 meter from point \( C \). #### Instructions: - Use the moment-area theorems to find the slope and displacement. - Alternatively, apply the conjugate-beam method for the same calculations. ### Notation: - \( E \): Modulus of Elasticity - \( I \): Moment of Inertia - \( A, B, C \): Points on the beam - \( 30 \text{ kN} \): Load applied at point \( B \) This problem helps in understanding how to analyze beam deflections and rotations using different methods.
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