Truss Energy: Find vertical deflection at B using vitrual work **Truss Energy: Find Vertical Deflection at Point B Using Virtual Work****Objective:** Determine the vertical deflection at point B, denoted as ΔyB.**Diagram Explanation:**This diagram illustrates a truss structure used in engineering to calculate the vertical deflection at a specific point using the method of virtual work. - The truss comprises three primary members forming a triangular shape with a vertical and horizontal alignment.- The left vertical member is 12 ft in length, and the base horizontal member is 8 ft long.- Forces are applied as follows: - A vertical force of 5 kips is acting upwards at the top left joint of the truss. - A horizontal force of 2.22 kips is applied to the base towards the right. - At point B, a downward load (P) of 5 kips is applied.- The vertical distance from the base to the point where the top vertical force is applied is 6 ft.**Goal:** Determine the virtual work done to find the vertical deflection at point B (ΔyB). This application of virtual work involves calculating internal forces in members due to external loads to understand how they impact the deflection at specific points.

Answered: Image /qna-images/answer/4bf774f2-5fea-46ed-9961-1ba3c240dc56.jpg

Answered: Truss Energy: find t Daft 6 ft 2.22…

Truss Energy: find t Daft 6 ft 2.22 kips 2225/1 Kips 8ft Vertical deflection at B using Virtual Work Ayo = ? Дув √₂p=5W/m² P = 5 kips

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

Truss Energy: Find vertical deflection at B using vitrual work

**Truss Energy: Find Vertical Deflection at Point B Using Virtual Work**

**Objective:**
Determine the vertical deflection at point B, denoted as ΔyB.

**Diagram Explanation:**

This diagram illustrates a truss structure used in engineering to calculate the vertical deflection at a specific point using the method of virtual work.

- The truss comprises three primary members forming a triangular shape with a vertical and horizontal alignment.
- The left vertical member is 12 ft in length, and the base horizontal member is 8 ft long.
- Forces are applied as follows:
- A vertical force of 5 kips is acting upwards at the top left joint of the truss.
- A horizontal force of 2.22 kips is applied to the base towards the right.
- At point B, a downward load (P) of 5 kips is applied.
- The vertical distance from the base to the point where the top vertical force is applied is 6 ft.

**Goal:**
Determine the virtual work done to find the vertical deflection at point B (ΔyB).

This application of virtual work involves calculating internal forces in members due to external loads to understand how they impact the deflection at specific points.

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Step 1: Drawing the free body diagram of the given truss system:-

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Step 2: Finding the P forces due to given loads:-

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Step 3: Finding K forces due to applied load at joint B of the given truss:-

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Step 4: By using virtual work method to finding the vertical deflection at joint B of the given truss system

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