A simply supported beam is subjected to a uniform service dead load of 1.0 kips/ft (including the weight of the beam) and uniform service live load of 2.5 kips/ft. The beam is 40 feet long, The beam has continuous lateral support, and A572 Grade 50 steel is used. A572 Grade 50 steel has Fy = 50 ksi and Fu = 65 ksi.Is a W30 × 116 adequate from flexure and shear?Check both LRFD and ASD.Is the beam adequate from deflection if it allowsmaximum deflection of L/360 (dead load + liveload)? Wp= 1.0kAWz = 2.5k'AW30 x 11640'-WųL(LRFD)2Max shear loadWaL(ASD)Max shear load W30x116A =34.20in.^2d =30.000in.tw =0.565in.bf =10.500in.tf =0.850in.T=26-1/2in.k =1.5000in.k1 =1.1250in.5-1/2in.gage =rt =%3D2.640in.d/Af =3.36Ix =4930.00in. ^4Sx =329.00in.^3rx =12.000in.ly =164.00in.^4Sy =31.30in.^3ry =2.190in.Zx =378.00in.^3Zy =J =49.20in.^36.43in.^4Cw =34900in. ^6a =118.55in.Wno =76.50in. ^2Św =171.00in.^4%3DQf =61.50in.^3Qw =187.00in.^3

Solution: Given data: Uniform Service dead load=1.0 kips/ftUniform service live load=2.5 kips/ftA572…

Answered: A simply supported beam is subjected to…

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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A simply supported beam is subjected to a uniform service dead load of 1.0 kips/ft (including the weight of the beam) and uniform service live load of 2.5 kips/ft. The beam is 40 feet long, The beam has continuous lateral support, and A572 Grade 50 steel is used. A572 Grade 50 steel has Fy = 50 ksi and Fu = 65 ksi.

Is a W30 × 116 adequate from flexure and shear?
Check both LRFD and ASD.
Is the beam adequate from deflection if it allows
maximum deflection of L/360 (dead load + live
load)?

Wp= 1.0kA
Wz = 2.5k'A
W30 x 116
40'-
WųL
(LRFD)
2
Max shear load
WaL
(ASD)
Max shear load

W30x116
A =
34.20
in.^2
d =
30.000
in.
tw =
0.565
in.
bf =
10.500
in.
tf =
0.850
in.
T=
26-1/2
in.
k =
1.5000
in.
k1 =
1.1250
in.
5-1/2
in.
gage =
rt =
%3D
2.640
in.
d/Af =
3.36
Ix =
4930.00
in. ^4
Sx =
329.00
in.^3
rx =
12.000
in.
ly =
164.00
in.^4
Sy =
31.30
in.^3
ry =
2.190
in.
Zx =
378.00
in.^3
Zy =
J =
49.20
in.^3
6.43
in.^4
Cw =
34900
in. ^6
a =
118.55
in.
Wno =
76.50
in. ^2
Św =
171.00
in.^4
%3D
Qf =
61.50
in.^3
Qw =
187.00
in.^3

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