Civil Engineering MCQJE Level Civil Engineering

The stiffness matrix [k] for a beam element (2D, 2 DOF per node: vertical displacement and rotation) has dimensions:

Strength of MaterialsStrength of MaterialsHARD

Choose the correct answer

A

2×2

B

4×4

C

6×6

D

3×3

Correct Answer

B. 4×4

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A 2D beam element has 2 nodes × 2 DOF = 4 DOF (w1, θ1, w2, θ2). Stiffness matrix is 4×4. Non-zero stiffness terms involve EI/L³ and EI/L² and EI/L. Assembled global stiffness matrix has dimensions equal to total structural DOF. Direct stiffness method: [K]{D} = {F}.

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