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CE442 Summer 11 2018 Homework3 Dae Mon 7-23-201S Name Important: Use Engineering

ID: 1730228 • Letter: C

Question

CE442 Summer 11 2018 Homework3 Dae Mon 7-23-201S Name Important: Use Engineering paper only Staple this sheet to the top of your work. Homework is due by the beginning of class on the due date Prepare each problem to be turaed in indiv idwally- Only one problem will be graderd Problem 1. Texthook Problem 5.2-1, Page 280 Problem #2. Drtermine if each ofthe flowing sections is coarat, Neonpe , or F,- 50 ksi F,- 65 ksi 4WI4K A572-Gr42 W14x90 A572-Gr60 Problem #3 Find the allow-able bending strength of a W21x62 beam of A992 steel that is laterally braced at 7.5-ft intervals. Assume C- 1 Problem #4 Find the allowable bending strength of a 6.0 ft long W21x44 beam of A36 steel. The simply supported beam is laterally braced at its supports only and is subjected to a uniformly distributed load, w, in plf. What is the allowable total distributed load, w, that it can support?

Explanation / Answer

W24x146

Width of flange=12.9 inches

Thickness of flange=1.09 inches

b/2t=12.9/(2*1.09)=5.917

0.56sqrt(29000/50) =13.5>5.917

h=21 inches

tw=0.65 inch

h/tw=21/0.65=32.3

1.49*sqrt(29000/50)=35.9>32.3

Section is compact

W21x111

Width of flange=12.34 in

Thickness of flange=0.875 in

b/2t=12.34/(2*0.875)=7.05

0.56*sqrt(29000/65)=11.83>7.05

h=18.25 in

tw=0.55 in

h/tw=18.25/0.55=33.2

1.49*sqrt(29000/65)=31.47<33.2

Section is slender

w14x99

Width of flange=14.565

Thickness of web=0.78

b/2t=14.565/(2*0.78)=9.34

0.56*sqrt(29000/36)=15.9>9.44

h=11.25 in

tw=0.485

h/tw=11.25/0.485=23.2

1.49*sqrt(29000/36)=42.3>23.2

Section is compact

W14x90

Width of flange=14.52 in

Thickness of flange=0.71

b/2t=14.52/(2*0.71)=10.2

0.56*sqrt(29000/42)=14.7

h=11.25 in

tw=0.44 in

h/tw=11.25/0.44=25.6

1.49*sqrt(29000/42)=39.2>25.6

Section is compact

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