Pls answer asap ### Educational Content on Truss Analysis#### Problem Statement:The truss structure (all members have the same area) carries the loading shown with a force $ P = 150 \, \text{kN} $. Determine the minimum thickness $ t $ (in mm) of the steel member considering the allowable vertical displacement of point C to be 12 mm. The modulus of elasticity, $ E $, is given as 200 GPa. Use the Virtual Work Method to solve the problem.#### Diagram Details:- The truss is supported by a pinned connection at point A and a roller support at point E.- Members of the truss are connected by joints at points A, B, C, D, and E, forming a triangular shape with a horizontal line from E to A.- Points B and D are mid-points of the horizontal bars on the long span.- The truss consists of a symmetric configuration about the vertical line passing through points D and B.- The diagram shows: - Horizontal distance AE = 8m (split evenly into segments of 4m each, AE and EB). - Vertical distance from the top of the truss to the bottom = 3m at point C. - Circular cross-section diagram with outer diameter $ D = 200 \, \text{mm} $ and thickness $ t $. - A vertical downward load $ P $ applied at points B and C. #### Additional Notes:- Utilize the Virtual Work Method to calculate the minimum required thickness $ t $.- The truss members are subjected to varying forces; consider axial deformations to ensure displacements do not exceed limits.- Calculation involves combining mechanics principles with material properties (modulus of elasticity).- Ensure compatibility of units when performing mathematical operations.This problem helps in understanding the application of structural analysis techniques and the importance of material properties in designing structures under specified constraints.

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The truss structure (all members have the same area) carry the loading shown (P = 150 kN) Determine the minimum thickness t (In mm) of the steel member considering allowable vertical displacement of C to be 12mm. Use E=200 GPa. Use Virtual Work Method to solve the problem. %3D D = 200mm 3m |C P. 4m 4m B

The truss structure (all members have the same area) carry the loading shown (P = 150 kN) Determine the minimum thickness t (In mm) of the steel member considering allowable vertical displacement of C to be 12mm. Use E=200 GPa. Use Virtual Work Method to solve the problem. %3D D = 200mm 3m |C P. 4m 4m B

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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### Educational Content on Truss Analysis

#### Problem Statement:
The truss structure (all members have the same area) carries the loading shown with a force $ P = 150 \, \text{kN} $. Determine the minimum thickness $ t $ (in mm) of the steel member considering the allowable vertical displacement of point C to be 12 mm. The modulus of elasticity, $ E $, is given as 200 GPa. Use the Virtual Work Method to solve the problem.

#### Diagram Details:
- The truss is supported by a pinned connection at point A and a roller support at point E.
- Members of the truss are connected by joints at points A, B, C, D, and E, forming a triangular shape with a horizontal line from E to A.
- Points B and D are mid-points of the horizontal bars on the long span.
- The truss consists of a symmetric configuration about the vertical line passing through points D and B.
- The diagram shows:
- Horizontal distance AE = 8m (split evenly into segments of 4m each, AE and EB).
- Vertical distance from the top of the truss to the bottom = 3m at point C.
- Circular cross-section diagram with outer diameter $ D = 200 \, \text{mm} $ and thickness $ t $.
- A vertical downward load $ P $ applied at points B and C.

#### Additional Notes:
- Utilize the Virtual Work Method to calculate the minimum required thickness $ t $.
- The truss members are subjected to varying forces; consider axial deformations to ensure displacements do not exceed limits.
- Calculation involves combining mechanics principles with material properties (modulus of elasticity).
- Ensure compatibility of units when performing mathematical operations.

This problem helps in understanding the application of structural analysis techniques and the importance of material properties in designing structures under specified constraints.

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