Which of the following assumptions are made in the force analysis of simple trusses?
A. All members have same cross-sectional area.
B. The bending resistance of all the members is small in comparison with their axial force resistance.
C. All the external loads are applied directly or indirectly at the joints.
D. All joints are idealized to be frictionless hinges.
Choose the correct answer from the options given below :
A. All members have same cross-sectional area.
B. The bending resistance of all the members is small in comparison with their axial force resistance.
C. All the external loads are applied directly or indirectly at the joints.
D. All joints are idealized to be frictionless hinges.
Choose the correct answer from the options given below :
Show Hint
- A, B and D only
- B, C and D only
- A, B and C only
- C and D only
The Correct Option is B
Solution and Explanation
Step 1: Evaluate each assumption.
• Assumption A: False. Members in a truss can have different cross-sectional areas based on the magnitude of force they are designed to carry.
• Assumption B: True. By assuming joints are hinges, we ensure members cannot carry moments, meaning bending resistance is neglected relative to axial force.
• Assumption C: True. If loads were applied in the middle of a member, it would create bending. Loads are only applied at joints to maintain axial-only behavior.
• Assumption D: True. Frictionless hinges ensure no moment is transferred between members.
Step 2: Conclusion.
Assumptions B, C, and D are standard for simple truss analysis.
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