**Problem 7.35**Use the virtual work method to determine the slope and deflection at point D of the beam shown.---**Diagram Explanation:**- **Beam Layout:** - The beam spans a total of 32 feet, divided into three sections: - \(AB = 16 \text{ ft}\) - \(BC = 8 \text{ ft}\) - \(CD = 8 \text{ ft}\)- **Loads:** - A uniformly distributed load (UDL) of \(2.5 \text{ k/ft}\) acts over the section \(AB\). - A point load of \(35 \text{ k}\) is applied at point \(D\).- **Support and Connections:** - There is a hinge connection at point \(C\).- **Material Properties:** - The moment of inertia \(I\) is \(4,000 \text{ in}^4\) from \(A\) to \(B\) and \(3,000 \text{ in}^4\) from \(B\) to \(D\). - The modulus of elasticity \(E\) is constant at \(30,000 \text{ ksi}\).The task is to calculate the slope and deflection at point \(D\) using the virtual work method with these variables.

Answered: Image /qna-images/answer/79fccfc7-75ff-446a-9dc6-b794dab6de87.jpg

Problem 7.35 Use the virtual work method to determine the slope and deflection at point D of the beam shown. 35 k 2.5 k/ft Hinge A B -16 ft- -8 ft -8 ft 1= 4,000 in.+ 1= 3,000 in.4 E = constant = 30,000 ksi

Problem 7.35 Use the virtual work method to determine the slope and deflection at point D of the beam shown. 35 k 2.5 k/ft Hinge A B -16 ft- -8 ft -8 ft 1= 4,000 in.+ 1= 3,000 in.4 E = constant = 30,000 ksi

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

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

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**Problem 7.35**

Use the virtual work method to determine the slope and deflection at point D of the beam shown.

---

**Diagram Explanation:**

- **Beam Layout:**
- The beam spans a total of 32 feet, divided into three sections:
- \(AB = 16 \text{ ft}\)
- \(BC = 8 \text{ ft}\)
- \(CD = 8 \text{ ft}\)

- **Loads:**
- A uniformly distributed load (UDL) of \(2.5 \text{ k/ft}\) acts over the section \(AB\).
- A point load of \(35 \text{ k}\) is applied at point \(D\).

- **Support and Connections:**
- There is a hinge connection at point \(C\).

- **Material Properties:**
- The moment of inertia \(I\) is \(4,000 \text{ in}^4\) from \(A\) to \(B\) and \(3,000 \text{ in}^4\) from \(B\) to \(D\).
- The modulus of elasticity \(E\) is constant at \(30,000 \text{ ksi}\).

The task is to calculate the slope and deflection at point \(D\) using the virtual work method with these variables.

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