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
icon
Related questions
Question
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.
Transcribed Image Text:### 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.
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Knowledge Booster
Site plan requirements
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning