A W530X123 is used as a fixed-ended beam with a span length of 5 m. The beamcarries a uniform service dead load and live load of 50 kN/m and 90 kN/m,respectively. Lateral support of the compression flange is provided only at theends. Loads act through the shear center. Calculate the allowable factoredmoment along y-axis (Muy) of the beam.W530X123 Properties:A = 15,700 mm²ry = 46.5 mmd = 544 mmbf = 212 mmZx 3210 X 10³ mm³Sx = 2800 X 10³ mm³rx = 220 mmly = 33.9 X 106 mm4Zy = 500 X 10³ mm³Sy= = 320 X 10³ mm³J = 1810 X 10³ mm4Cw=2320 X 10⁹ mm6Fy = 345 MPaG = 70000 MPatw = 13.1 mmt₁ = 21.2 mmIx = 762 X 106 mm4

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Answered: A W530X123

Engineering

Civil Engineering

A W530X123

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 W530X123 is used as a fixed-ended beam with a span length of 5 m. The beam
carries a uniform service dead load and live load of 50 kN/m and 90 kN/m,
respectively. Lateral support of the compression flange is provided only at the
ends. Loads act through the shear center. Calculate the allowable factored
moment along y-axis (Muy) of the beam.
W530X123 Properties:
A = 15,700 mm²
ry = 46.5 mm
d = 544 mm
bf = 212 mm
Zx 3210 X 10³ mm³
Sx = 2800 X 10³ mm³
rx = 220 mm
ly = 33.9 X 106 mm4
Zy = 500 X 10³ mm³
Sy= = 320 X 10³ mm³
J = 1810 X 10³ mm4
Cw=2320 X 10⁹ mm6
Fy = 345 MPa
G = 70000 MPa
tw = 13.1 mm
t₁ = 21.2 mm
Ix = 762 X 106 mm4

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