Problem 1: The steel beam is constructed by welding three rectangular pieces into a complex cross sectional shape, as shown below. The beam is subjected to an internal vertical shear force V = 40 N and an internal bending moment M = +80 N-m. Note that the moment M acts about the horizontal neutral axis of the cross section (labeled NA). 10 mm 10 mm 10 mm 40 mm 20 mm 20 mm M 10 mm 10 mm A (a) Determine the maximum tensile bending stress. (b) Determine the maximum compressive bending stress. (c) Determine the maximum transverse shear stress. (d) Determine the transverse shear stress in the weld, which is located at point C.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.2.15P: -15 A composite beam is constructed froma wood beam (3 in. x 6 in.) and a steel plate (3 in, wide)....
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Problem 1: The steel beam is constructed by welding three rectangular pieces into a complex
cross sectional shape, as shown below. The beam is subjected to an internal vertical shear force
V = 40 N and an internal bending moment M = +80 N-m. Note that the moment M acts about
the horizontal neutral axis of the cross section (labeled NA).
10 mm
10 mm.
10 mm
40 mm
20 mm
20 mm
M
10 mm
10 mm
A
(a) Determine the maximum tensile bending
stress.
(b) Determine the maximum compressive
bending stress.
(c) Determine the maximum transverse shear
stress.
(d) Determine the tra erse shear stress in
the weld, which is located at point C.
Transcribed Image Text:Problem 1: The steel beam is constructed by welding three rectangular pieces into a complex cross sectional shape, as shown below. The beam is subjected to an internal vertical shear force V = 40 N and an internal bending moment M = +80 N-m. Note that the moment M acts about the horizontal neutral axis of the cross section (labeled NA). 10 mm 10 mm. 10 mm 40 mm 20 mm 20 mm M 10 mm 10 mm A (a) Determine the maximum tensile bending stress. (b) Determine the maximum compressive bending stress. (c) Determine the maximum transverse shear stress. (d) Determine the tra erse shear stress in the weld, which is located at point C.
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Introduction

Tensile bending stress occurs when a force is applied in tension to a material and causes it to bend. Compressive bending stress occurs when a force is applied in compression to a material and causes it to bend. Both types of bending stress can cause a material to fail, but the exact type of bending stress will depend on the material's properties and its ability to resist the applied force.

Given data:

the total length of the flang L=80 mmthe total height of the web h=50 mmthe internal bending moment M=80 Nmthe internal vertical shear force V=40 N

 

Find out:

(a). The maximum tensile bending stress.

(b). The maximum compressive bending stress.

(c). The maximum transverse shear stress.

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