A W420x85 steel beam is fully restrained with auniformly distributed live load of 25 kN/m. Thebeam has a span of 10m. Use A36 steel.Properties of W40 x 85A = 10839 mm2%Dbf = 180 mmtf = 18 mm%3Dtw == 11 mmIx = 310 x 106 mm4%3Dd = 420 mm(Note: Since this is a built-up section, forchecking of web slenderness, use h = d - 2t;)%3D1) Calculate the design shear strength of thesection. Check if the section is adequate inshear. USE LRFD and U = 1.2D + 1.6L.%3D2) Is the maximum deflection at the midspan ofthe beam due to live load adequate?3) Calculate the maximum uniform live load thatcan be carried by the beam.

Given section W420*85 WL = 25KN/m WD = 0.8KN/m L = 10 m = 104 mm fy = 250MPa (for A36 steel) shear…

1) Calculate the design shear strength of the section. Check if the section is adequate in shear. USE LRFD and U = 1.2D + 1.6L. 2) Is the maximum deflection at the midspan of the beam due to live load adequate? 3) Calculate the maximum uniform live load that can be carried by the beam.

1) Calculate the design shear strength of the section. Check if the section is adequate in shear. USE LRFD and U = 1.2D + 1.6L. 2) Is the maximum deflection at the midspan of the beam due to live load adequate? 3) Calculate the maximum uniform live load that can be carried by the beam.

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

A W420x85 steel beam is fully restrained with a
uniformly distributed live load of 25 kN/m. The
beam has a span of 10m. Use A36 steel.
Properties of W40 x 85
A = 10839 mm2
%D
bf = 180 mm
tf = 18 mm
%3D
tw =
= 11 mm
Ix = 310 x 106 mm4
%3D
d = 420 mm
(Note: Since this is a built-up section, for
checking of web slenderness, use h = d - 2t;)
%3D
1) Calculate the design shear strength of the
section. Check if the section is adequate in
shear. USE LRFD and U = 1.2D + 1.6L.
%3D
2) Is the maximum deflection at the midspan of
the beam due to live load adequate?
3) Calculate the maximum uniform live load that
can be carried by the beam.

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