What is the maximum bending moment of elastic plates in a square slab where q is the load shared on length l ?
- A0·625 ql²
- B0·00625 ql²
- C0·0625 ql²Correct
- D0·000625 ql²
Solution
Concept
Maximum moment in a square plate
Formula
M = α q l²
Step-by-step solution
1. The bending moment in an elastic square slab is a fraction of ql² (for a simply supported square plate α ≈ 0.048). 2. The only option of the right order of magnitude is 0.0625 ql² (= ql²/16).
Explanation
The moment coefficient for a square plate is a few hundredths of ql². Options 0.625 and 0.00625 are wrong by factors of 10.
Why the other options are wrong
0.625, 0.00625 and 0.000625 are not of the right order for a square slab.
Shortcut
Square slab: M ≈ 0.05–0.06 ql².
Correct answer: C) 0·0625 ql²