Depth of compression block assuming both tension and compression steel yields. What is the ultimate moment capacity of the beam in KN.m. Determine the additional concentrated live load that can be applied at midspan

Depth of compression block assuming both tension and compression steel yields. What is the ultimate moment capacity of the beam in KN.m. Determine the additional concentrated live load that can be applied at midspan

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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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

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A 6m long simply supported reinforced concrete beam has a width of 350mm and an overal1 depth of 470mm.
The beans is reinforced with 2-28mm compression bars and 4-28mm tension bars, each located 70mm from the extreme fibers.
Concrete strength f'c = 20. 7 MPa, and steel yield strength fy=415 MPa. Determine the ff:
1) Depth of compression block assuming both tension and compression steel yields.
2) what is the ultimate moment capacity of the beam in KN.m.
3) Determine the additional concentrated live load that can be applied at midspan
if the dead load including the weight of the beam is 20KN/m. Use Mu=1.2Mdl+1.6M11 (Based of NSCP 2015)
Show complete solution and neat handwriting. Use NSCP 2015.

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