Problem #2 A beam having a simple span of 4.2 m. carries a concentrated service live load P at its midspan. The beam is

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Problem 2 A Beam Having A Simple Span Of 4 2 M Carries A Concentrated Service Live Load P At Its Midspan The Beam Is 1 (47.42 KiB) Viewed 34 times

Problem #2 A beam having a simple span of 4.2 m. carries a concentrated service live load P at its midspan. The beam is made up of a channel section. Assume that the load is applied through the shear center so that there is no torsional loading. Assume lateral loads are applied at both ends only Prop. of channel section d = 457.2 mm t = 15.875 mm Sx = 1141 x 103 mm ly = 6.785 x 106mm U = 1.2 DL + 1.6 LL Determine the nominal flexural strength Fy = 248 MPa of the channel using LRFD. E = 200000 MPa Determine the value of P that can be ty = 26.162 mm applied to the beam due to its flexural Lp = 1.307 strength use LRFD. L. = 5.341 * Determine the value of P that can be Cb = 1.32 applied to the beam due to its allowable bending stress using ASD. Zx = 1430 x 10 mm Wt. of channel = 77 kg/m Solution: Lb = 4.2 m Nominal flexural strength of channel using LRFD: ľ 4.2 m