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Architecture and Planning Miscellaneous-topic

Architecture and Planning Miscellaneous

  1. A load of 30 kN is applied vertically downward at the free end of a cantilever of span 5 m. If the elastic modulus of the cantilever is 30 GPa and the section has a width of 0.3 m and a depth of 0.6 m, then, the elastic deflection (in mm) is ______
    1. 7.65 to 7.75
    2. 4.65 to 4.75
    3. 3.65 to 6.75
    4. 2.65 to 7.75
Correct Option: A

(7.65 to 7.75)
Moment of inertia for rectangular section

I =
bh³
= (0.3 m) × (0.6 m)/12 = 54 × 10-4 m4
12

YA =
FL³
3EI

YA =
[(30) × (5)³]
[3 × (30) × (54 × 10-4)]

YA =7.71 mm



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