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Mechanical and structural analysis miscellaneous

Mechanics and Structural Analysis

  1. T-section of a beam is formed by gluing wooden planks as shown in the figure below. If this beam transmits a constant vertical shear force of 3000 K, the glue at any of the four joints will be subjected to a shear force (in kN per metre length) of
    1. 3.0
    2. 4.0
    3. 8.0
    4. 10.7
Correct Option: B

Shear flow, q =
I

I =
50 × (300)3
+ 2
150 × 503
+ 15 × 50 + 1252
1212

= 3.5 × 108 mm4
V = 3000 N
θ = 50 ×75 × 125 = 468750 mm2
∴ q =
3000 × 468750
= 4 kN/m
3.5 × 108



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