Answered: A prismatic beam having 275mm x 500 mm…

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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Question

A prismatic beam having 275mm x 500 mm is reinforced for flexure at the bottom with 5- phi 20 mm with an effective deapth of 420mm. It is simply supported over a clear span of 6m and designed to support a total factored uniformly distributed load of 36kn/m over the entire span. Concrete weighs 24kn/^3, concrete streangth f'c = 21 mpa and rebar strength fy= 280 mpa. Determine the required nominal shear force the stirrups must sustain based on the critical shear force at a section located distance "d" from the face of the support

a. 24.2
b. 32.2
c. 28.4
d. 15.3

Expert Solution

Step 1

Given data:-

Cross sectional area of beam is $275mm×500mm$

Effective depth, $d = 420 mm$

Uniformly distributed load is $36 kN/m$

Concrete weights is $24 {kN/m}^{3}$

Concrete strength is $21 MPa$

Steel bar strength is $280 MPa$

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