a. If the beam is laterally braced at third points between supports and is loaded with concentrated dead load P = 100 kN at the midspan and a service uniform live load "w" applied in the entire span, compute the design uniform live load it can carry. b. Based on the allowable flexural strength of the beam, if the beam only carries a uniform load "W", compute the allowable value of load "w" considering the beam is Laterally braced at the midspan. C. Based on the design shear strength of the given steel beam, compute the maximum uniform load it can carry, if only a uniform load is acting on the beam.
A WF steel beam with a simple span of 7.8 m and Fy = 345 MPa, Cb=1.0, k=33.3
subject to the following conditions.
Properties of the beam:
A = 12,900 mm^2
ly = 50.4 × 10^6 mm^4
d = 356 mm
bf = 254 mm
tf = 18.3 mm
tw = 10.5 mm
Ix = 301 × 10^6 mm^4
Sy = 397 × 10^3 mm
ry = 62.5 mm
J = 1.25 x 10^6 mm^4
Zx = 1,884 x 10^3 mm^3
Sx =11,690 × 10^3 mm
rx = 153 mm
a. If the beam is laterally braced at third points between supports and is loaded with concentrated dead load P = 100 kN at the midspan and a service uniform live load "w" applied in the entire span, compute the design uniform live load it can carry.
b. Based on the allowable flexural strength of the beam, if the beam only carries a uniform load "W", compute the allowable value of load "w" considering the beam is Laterally braced at the midspan.
C. Based on the design shear strength of the given steel beam, compute the maximum uniform load it can carry, if only a uniform load is acting on the beam.
(Show detailed and complete solution pls)
Step by step
Solved in 4 steps
