**Problem 7.46****Objective:**Use the virtual work method to determine the horizontal deflection at joint C of the frame shown.**Description:**The frame consists of three members. Member AB extends vertically 10 ft from the ground to the top of member BC. Member BC is a horizontal beam spanning 30 ft and carries a uniform distributed load of 2 kips/ft. Member CD is a vertical column extending 15 ft from the top of the beam to the ground.**Material Properties:**- The modulus of elasticity, \( E = 29,000 \) ksi.- The moment of inertia, \( I = 1,500 \) in\(^4\).**Conditions:**- The frame has fixed supports at points A and D.- All members are rigidly connected.**Diagram Explanation:**- The frame structure is depicted with three key points: A, B, C, and D.- The length of AB is 10 ft, BC is 30 ft, and CD is 15 ft.- The beam BC is subjected to a uniformly distributed load (UDL) of 2 kips/ft.- The supports at A and D are fixed, indicating no rotation or translation at those joints.

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Answered: 2 k/ft Problem 7.46 Use the virtual…

2 k/ft Problem 7.46 Use the virtual work method to determine the horizontal deflection B at joint C of the frame shown. 10 ft 15 ft 30 ft El = constant E = 29,000 ksi 1 = 1.500 in.

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.

Question

**Problem 7.46**

**Objective:**
Use the virtual work method to determine the horizontal deflection at joint C of the frame shown.

**Description:**
The frame consists of three members. Member AB extends vertically 10 ft from the ground to the top of member BC. Member BC is a horizontal beam spanning 30 ft and carries a uniform distributed load of 2 kips/ft. Member CD is a vertical column extending 15 ft from the top of the beam to the ground.

**Material Properties:**
- The modulus of elasticity, \( E = 29,000 \) ksi.
- The moment of inertia, \( I = 1,500 \) in\(^4\).

**Conditions:**
- The frame has fixed supports at points A and D.
- All members are rigidly connected.

**Diagram Explanation:**
- The frame structure is depicted with three key points: A, B, C, and D.
- The length of AB is 10 ft, BC is 30 ft, and CD is 15 ft.
- The beam BC is subjected to a uniformly distributed load (UDL) of 2 kips/ft.
- The supports at A and D are fixed, indicating no rotation or translation at those joints.

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