### Problem Statement(5) Determine the slope at A and the vertical displacement at B. Use the method of virtual work. EI is constant. A is a pin and B is a roller.### Diagram ExplanationThe diagram shows a structural element with two supports:- **Support A**: This is a pin support located at the base of the structure. - **Support B**: This is a roller support located 4 meters above the horizontal axis at an inclined position.The structure is subject to an external horizontal force of 60 kN acting at the junction perpendicular to its vertical segment. ### Dimensions- The horizontal distance from the leftmost point to point A is 3 meters.- The vertical length of the member from point A to the exerted force is 4 meters.- The inclined member from the point where the external force is applied to point B is also 4 meters long.The task is to find the slope at point A and the vertical displacement at point B using the concept of virtual work, with the flexural rigidity (EI) considered constant across the structure.

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Answered: (5) Determine the slope at A and the…

(5) Determine the slope at A and the vertical displacement at B. Use the method of virtual work. EI is constant. A is a pin and B is a roller 60 kN A 3 m 4 m 4 m

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

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.

Question

### Problem Statement

(5) Determine the slope at A and the vertical displacement at B. Use the method of virtual work. EI is constant. A is a pin and B is a roller.

### Diagram Explanation

The diagram shows a structural element with two supports:

- **Support A**: This is a pin support located at the base of the structure.
- **Support B**: This is a roller support located 4 meters above the horizontal axis at an inclined position.

The structure is subject to an external horizontal force of 60 kN acting at the junction perpendicular to its vertical segment.

### Dimensions

- The horizontal distance from the leftmost point to point A is 3 meters.
- The vertical length of the member from point A to the exerted force is 4 meters.
- The inclined member from the point where the external force is applied to point B is also 4 meters long.

The task is to find the slope at point A and the vertical displacement at point B using the concept of virtual work, with the flexural rigidity (EI) considered constant across the structure.

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