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As shown in the figure, a 3m-long cantilever beum is subjected to a uniformly distributed dead load, w-LS t/m. It is know that fe = 20MPa. fy =420 MPA, and 4, = 1800 mm'. Please find the maximum allowable uniformly distributed live load, W.It is assumed that the unit weight of concrete is we24t/m.

As shown in the figure, a 3m-long cantilever beum is subjected to a uniformly distributed dead load, w-LS t/m. It is know that fe = 20MPa. fy =420 MPA, and 4, = 1800 mm'. Please find the maximum allowable uniformly distributed live load, W.It is assumed that the unit weight of concrete is we24t/m.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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As shown in the figure, a 3m-long cantilever beum is subjected to a uniformly distributed dead load, we-1.S t/m. It is know that f = 20MP. fy =420 MPa, and 4, = 1800 mm. Please find the maximum allowable uniformly distributed live load, wt is assumed that the unit weight of concrete is we24 t/m. -300m-
Transcribed Image Text:As shown in the figure, a 3m-long cantilever beum is subjected to a uniformly distributed dead load, we-1.S t/m. It is know that f = 20MP. fy =420 MPa, and 4, = 1800 mm. Please find the maximum allowable uniformly distributed live load, wt is assumed that the unit weight of concrete is we24 t/m. -300m-
Expert Solution
Step 1

The code used for the calculation is IS standards.

The self weight of the beam is calculated as,

ws=unit weight of concrete×A=2.40.555×0.3=0.3996 t/m=0.4 t/m

(Since the figure is unclear, so the overall depth of the beam is interpreted as 555 mm).

The total dead load is calculated as,

wd=1.5+0.4=1.9 t/m

The maximum bending moment in a cantilever beam due to combined effect dead load and live load is calculated as,

Mmax=0.51.5wd+1.5wl×L2=0.5×1.51.9+wl×32=1.58.55+4.5wl

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