An A-36 steel beam of following cross section is part of a bridge and it is subjected loading as shown. 35 ft 250 lb/ft 10 in 35 ft 25 in 50 ft 25 in 600 lb/ft 2 in 50 ft Assume that the bridge has a self-weight of 250 lb/ft and due to the truck, the loading is now 600 lb/ft for the 50 feet section as shown in the picture above. Now if the maximum bending moment due to the truck is 865.625 kip-ft, that translates to a maximum bending stress as shown in the table below. Maximum Bending Cross-sectional shape Yield strength of steel Moment of ine of beam A-36 stress (kpsi) 9.97 kpsi Rectangular 36 kpsi 21.633 kpsi I-shaped Beam 36 kpsi The cross-sectional dimensions of both shapes are shown below. 35 ft 10 in 250 lb/ft in 35 ft (in²) 13020 6290 Consider yourself as an engineer assigned to this bridge construction and discuss the

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.10.1P: -1 through 5.10-6 A wide-flange beam (see figure) is subjected to a shear force V. Using the...
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An A-36 steel beam of following cross section is part of a bridge and it is subjected
loading as shown.
mmmmm
35 ft
250 lb/ft
10 in
35 ft
50 ft
25 in
600 lb/ft
*
Assume that the bridge has a self-weight of 250 lb/ft and due to the truck, the loading is
now 600 lb/ft for the 50 feet section as shown in the picture above. Now if the maximum
bending moment due to the truck is 865.625 kip-ft, that translates to a maximum bending
stress as shown in the table below.
25 in
50 ft
35 ft
Maximum Bending
stress (kpsi)
Cross-sectional shape Yield strength of steel Moment of inertia
of beam
A-36
9.97 kpsi
Rectangular
I-shaped Beam
36 kpsi
36 kpsi
21.633 kpsi
The cross-sectional dimensions of both shapes are shown below.
250 lb/ft
10 in
35 ft
(in)
13020
6290
Consider yourself as an engineer assigned to this bridge construction and discuss the
suitable options for the optimal cross-section of the bridge. Note that from the data
shown in the table, both rectangular and I-beam cross-sections have maximum bending
stress below the yield strength of the material A-36 steel.
Transcribed Image Text:An A-36 steel beam of following cross section is part of a bridge and it is subjected loading as shown. mmmmm 35 ft 250 lb/ft 10 in 35 ft 50 ft 25 in 600 lb/ft * Assume that the bridge has a self-weight of 250 lb/ft and due to the truck, the loading is now 600 lb/ft for the 50 feet section as shown in the picture above. Now if the maximum bending moment due to the truck is 865.625 kip-ft, that translates to a maximum bending stress as shown in the table below. 25 in 50 ft 35 ft Maximum Bending stress (kpsi) Cross-sectional shape Yield strength of steel Moment of inertia of beam A-36 9.97 kpsi Rectangular I-shaped Beam 36 kpsi 36 kpsi 21.633 kpsi The cross-sectional dimensions of both shapes are shown below. 250 lb/ft 10 in 35 ft (in) 13020 6290 Consider yourself as an engineer assigned to this bridge construction and discuss the suitable options for the optimal cross-section of the bridge. Note that from the data shown in the table, both rectangular and I-beam cross-sections have maximum bending stress below the yield strength of the material A-36 steel.
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