**Problem Statement:**1) Find the vertical deflection at points C and E, and the rotation at point B. Use the conjugate beam method.**Diagram Explanation:**- The diagram depicts a beam supported at points A and D.- A triangular load is applied at point B, labeled with a 20-degree angle.- A triangular load is also applied at point C, labeled with a 30-degree angle.- The beam spans from A to E, with segments labeled as follows: - AB: 5 feet - BC: 15 feet - CD: 30 feet - DE: 10 feet- The beam has constant properties given: - Moment of inertia (I) = 1,500 in⁴ - Modulus of elasticity (E) = 29 × 10³ psi**Objective:**- Use the conjugate beam method to find the specified deflection and rotation.

Given data: EI=1500×29×103EI=435×10-5 K.in2EI=302083.33 K.ft2

Answered: O Findz Vertical defection at points C…

O Findz Vertical defection at points C and E; rotation at point B. Use conjuqarte beam method. 30 to 15 10 10 30 1-1,500 x 10 p

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Moments

There are various practical applications of the concept of moments, like a rotation of the crank due to linear motion of the piston, the moment of inertia and its use in designing beams and columns, bending moment concept, torque, twisting moment, etc.

Question

**Problem Statement:**

1) Find the vertical deflection at points C and E, and the rotation at point B. Use the conjugate beam method.

**Diagram Explanation:**

- The diagram depicts a beam supported at points A and D.
- A triangular load is applied at point B, labeled with a 20-degree angle.
- A triangular load is also applied at point C, labeled with a 30-degree angle.
- The beam spans from A to E, with segments labeled as follows:
- AB: 5 feet
- BC: 15 feet
- CD: 30 feet
- DE: 10 feet
- The beam has constant properties given:
- Moment of inertia (I) = 1,500 in⁴
- Modulus of elasticity (E) = 29 × 10³ psi

**Objective:**

- Use the conjugate beam method to find the specified deflection and rotation.

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