In a simple truss with a triangular configuration, if the internal member forces are in tension, which of the following methods is most appropriate to analyze the truss?
- AMoment Distribution Method
- BUnit Load Method
- CMethod of JointsCorrect
- DConjugate Beam Method
Solution
Concept
Method of joints for truss structural analysis
Formula
NONE
Step-by-step solution
1. The Method of Joints isolates each joint of a truss and applies equilibrium equations (ΣFx = 0 and ΣFy = 0). 2. It is ideal for calculating axial internal forces (tension or compression) in simple planar trusses. 3. Therefore, the Method of Joints is the most appropriate method to analyze the truss. Answer: C
Explanation
The Method of Joints is ideal for analyzing simple statically determinate trusses by evaluating force equilibrium at each individual joint. It allows direct computation of axial forces in members without complex global structural transformations. Therefore, option C is correct.
Why the other options are wrong
A) The Moment Distribution Method is an iterative technique for indeterminate flexural frames, not pin-jointed trusses. B) The Unit Load Method is used to determine deflections rather than finding internal member forces directly. D) The Conjugate Beam Method is used for calculating slopes and deflections in beams rather than member forces in trusses.
Shortcut
Truss force analysis at pin-connected nodes = Method of Joints.
Common mistake
Choosing frame analysis methods like the moment distribution method instead of the method of joints for simple truss analysis.
Correct answer: C) Method of Joints