Situation 2: A W540 x 150 steel beam is simply supported at its ends Given: Beam span, L-12m Uniform dead load 15kN/m Uniform live load-20kN/m Properties of W540 x 150: A-19,230 mm² d-540 mm by-310mm 20.3mm 12.7 mm -83mm S-3.72x10mm³ 5,-0.66x10mm³ Z-4.14 x10 mm³ 2y= 1.01 x10 mm² F=248 MPa a. Determine the allowable bending stress (MPa) in compression if the beam is laterally supported at its mid- length. b. What is the plastic moment capacity (kN-m) of the beam? c. Determine the minimum required plastic section modulus of the beam (m³) if the beam has full lateral support. Use 1.2D+1.6 and 0.90.
A W540 * 150 steel beam is simply supported at its ends.
Given: Beam span, L = 12m
Uniform dead load = 15kN / m
Uniform live load = 20kN/m
Properties of W * 540 * 150
A = 19, 230m * m ^ 2
S_{x} = 3.72 * 10 ^ 6 * m * m ^ 3
d = 540mm S_{y} = 0.66 * 10 ^ 6 * m * m ^ 3
b_{f} = 310mm
Z_{x} = 4.14 * 10 ^ 6 * m * m ^ 3
t_{f} = 20.3mm
t_{w} = 12.7mm
Z_{y} = 1.01 * 10 ^ 6 * m * m ^ 3
r_{t} = 83mm mmDC
F_{y} = 248MPa
a. Determine the allowable bending stress (MPa) in compression if the beam is laterally supported at its mid- length.
b. What is the plastic moment capacity (kN-m) of the beam?
c. Determine the minimum required plastic section modulus of the beam (m ^ 3) if the beam has full lateral support. Use 1.2D + 1.6L and emptyset= 0.9
Step by step
Solved in 2 steps with 2 images
