Civil Engineering - Strength of Materials - Discussion
Discussion Forum : Strength of Materials - Section 1 (Q.No. 38)
38.
A simply supported beam carrying a uniformly distributed load over its whole span, is propped at the centre of the span so that the beam is held to the level of the end supports. The reaction of the prop will be
Discussion:
13 comments Page 2 of 2.
Mukesh kumar said:
5 years ago
Ans is 3wl/8.
As at simply supported beam deflection is zero.
Deflection due to distributed load w is wl^4/8EI,
Deflection due to support reaction is pl^3/3EI,
Both are equal so p=3wl/8.
As at simply supported beam deflection is zero.
Deflection due to distributed load w is wl^4/8EI,
Deflection due to support reaction is pl^3/3EI,
Both are equal so p=3wl/8.
Navneet kumar said:
5 years ago
No @Mukesh Kumar.
You are using deflection formula of a cantilever beam with UDL but here it is SSB.
You are using deflection formula of a cantilever beam with UDL but here it is SSB.
(3)
Fakhar Naveed said:
2 years ago
Deflection from distributed load = 5wl^4/384EI.
Deflection from PROP load = PL^3/48EI.
5wl^4/384EI = PL^3/48EI.
P = 5wl/8.
Deflection from PROP load = PL^3/48EI.
5wl^4/384EI = PL^3/48EI.
P = 5wl/8.
(3)
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