The beam shown will be constructed from astandard steel W-shape using an allowablebending stress of 21.5 ksi. Assume P = 34 kips,L₁= 6.3 ft, and L₂ = 18.9 ft.(a) Determine the minimum section modulusrequired for this beam.(b) From the table below, select the lightest Wshape that can be used for this beam.(c) What is the total weight of the steel beamitself (i.e., not including the loads that arecarried by the beam)?ADesignationW24 x 9424 x 7624 x 6824 x 55L₁Wide-Flange Sections or W Shapes-U.S. Customary UnitsWebFlange FlangeArea Depth thickness widthAdthickness1byin.W21 x 6821 x 6221 x 50in.²in.27.7 24.3224 23.923.723.620.116.2B20.0183147P21.121.020.8in.0.5150.4400.4150.3950,4300.4000.3809.078.998.977.01L28.278.246.53in.0.8750.6800.5850.5050.6850.6150.5351,270021001830135014801330984S₂in.'17615411414012794.5PL₁8.608.548.181,in.in9.87 1099.699.559.1182.570.429.164.757.524.9S₂ Tyin.1.981.921.871.3424.018.415.78.3015.714.0D7.641.801.771.30X

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The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 21.5 ksi. Assume P = 34 kips, L₁= 6.3 ft, and L₂ = 18.9 ft. (a) Determine the minimum section modulus required for this beam. (b) From the table below, select the lightest W shape that can be used for this beam. (c) What is the total weight of the steel beam itself (i.e., not including the loads that are carried by the beam)? Designation W24 x 94 24 x 76 Wide-Flange Sections or W Shapes-U.S. Customary Units 24 × 68 24 x 55 W21 x 68 21 x 62 21 x 50 in.² 27.7 224 Web Area Depth thickness width d A 1 by 20.1 16.2 B 20.0 183 147 P in. 24.3 23.9 23.7 23,6 21.1 21.0 20.8 in. 0.515 0.440 0.415 0.395 0,430 0.400 0.340 Flange Flange thickness 4 9.07 8.99 L2 8.97 7.01 8.27 8.24 6.53 in. 0.875 0.680 0.585 0.505 0.685 0.615 0535 1, in. 2700 2100 1830 1350 1480 1330 984 S₂ 222 176 154 114 140 127 945 P L₁ 1, in. in.* 9.87 109 9.69 9.55 9.11 8.60 8.54 8.18 82.5 S₂ in.) 70.4 29.1 64.7 15.7 57.5 14.0 249 3 " in. 24.0 1.98 18.4 1.92 15.7 1.87 8.30 1.34 7.64 D 1.80 1.77 1.30 X

The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 21.5 ksi. Assume P = 34 kips, L₁= 6.3 ft, and L₂ = 18.9 ft. (a) Determine the minimum section modulus required for this beam. (b) From the table below, select the lightest W shape that can be used for this beam. (c) What is the total weight of the steel beam itself (i.e., not including the loads that are carried by the beam)? Designation W24 x 94 24 x 76 Wide-Flange Sections or W Shapes-U.S. Customary Units 24 × 68 24 x 55 W21 x 68 21 x 62 21 x 50 in.² 27.7 224 Web Area Depth thickness width d A 1 by 20.1 16.2 B 20.0 183 147 P in. 24.3 23.9 23.7 23,6 21.1 21.0 20.8 in. 0.515 0.440 0.415 0.395 0,430 0.400 0.340 Flange Flange thickness 4 9.07 8.99 L2 8.97 7.01 8.27 8.24 6.53 in. 0.875 0.680 0.585 0.505 0.685 0.615 0535 1, in. 2700 2100 1830 1350 1480 1330 984 S₂ 222 176 154 114 140 127 945 P L₁ 1, in. in.* 9.87 109 9.69 9.55 9.11 8.60 8.54 8.18 82.5 S₂ in.) 70.4 29.1 64.7 15.7 57.5 14.0 249 3 " in. 24.0 1.98 18.4 1.92 15.7 1.87 8.30 1.34 7.64 D 1.80 1.77 1.30 X

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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