Structville daily questions
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Today’s Question
What is the deflection at point 2 of a structure if diagram (a) is the bending moment due to externally applied load, and (b) is the bending moment due to vertically applied virtual load at point 2? (The main bending moment diagram is obtained from equation of the form, wl2/2)
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B) 6/EI metres
OGUNLEYE EMMANUEL
M.dM/2EI= 6 X 2/2EI = 6/EI
B) 6/EI metres
B (6/EI metres). From wl^2/2, w= 3kn/m. From wl^4/8EI, ∆= 6/EI metres
From diagram a) wl^2/2= 6kNm then w= 3kN/m and W= 3kN/m ×2m= 6kN
Deflection in b= WL^3/8EI = 6×2^3/8EI = 6/EI hence B) is correct.
(B) 6/EI
From the hint,
Bending moment=wl^2/2
Hence, if BM=6KNm from diagram then
w=3KN/m.
From deflection formula fr a cantilever, ∆=wl^4/8EI
∆ = 6/EI.
Option (B) is correct
B
B
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