Problem 1: The steel beam is constructed by welding three rectangular pieces into a complexcross sectional shape, as shown below. The beam is subjected to an internal vertical shear forceV = 40 N and an internal bending moment M = +80 N-m. Note that the moment M acts aboutthe horizontal neutral axis of the cross section (labeled NA).10 mm10 mm.10 mm40 mm20 mm20 mmM10 mm10 mmA(a) Determine the maximum tensile bendingstress.(b) Determine the maximum compressivebending stress.(c) Determine the maximum transverse shearstress.(d) Determine the tra erse shear stress inthe weld, which is located at point C.

Answered: Problem 1: The steel beam is…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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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.

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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:

$\begin{array}{rcl} the total length of the flang (L) & = & 80 mm \\ the total height of the web (h) & = & 50 mm \\ the internal bending moment (M) & = & 80 Nm \\ the internal vertical shear force (V) & = & 40 N \end{array}$

Find out:

(a). The maximum tensile bending stress.

(b). The maximum compressive bending stress.

(c). The maximum transverse shear stress.

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