(a) If the beam A-D has a rectangular cross section as shown in Figure. 3.1 - (i), determine the optimal position (x) of the two supports so that the beam A-D can carry the largest load without failure of the structure. Also, find the corresponding maximum allowable q. Take h=300 mm and b=22 mm. (b) Now reconsider the beam A-D with an asymmetric "I"-shaped cross section in Figure. 3.1 -(ii). If the magnitude of the distributed load q is equal to 137 kN/m and the overhang x is equal to 137 mm, find the maximum compressive and tensile stresses in the beam. Take h-30 mm, h2-240 mm, and h3-30 mm for heights, and bi=40 mm, b2=22 mm, and b3=60 mm for widths. Is the beam safe with this configuration?

(a) If the beam A-D has a rectangular cross section as shown in Figure. 3.1 - (i), determine the optimal position (x) of the two supports so that the beam A-D can carry the largest load without failure of the structure. Also, find the corresponding maximum allowable q. Take h=300 mm and b=22 mm. (b) Now reconsider the beam A-D with an asymmetric "I"-shaped cross section in Figure. 3.1 -(ii). If the magnitude of the distributed load q is equal to 137 kN/m and the overhang x is equal to 137 mm, find the maximum compressive and tensile stresses in the beam. Take h-30 mm, h2-240 mm, and h3-30 mm for heights, and bi=40 mm, b2=22 mm, and b3=60 mm for widths. Is the beam safe with this configuration?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

Question

Hi, could you please help me walk through this problem step by step?

Consider the 915mm-long beam A-D with a pin (B) and simple roller (C) supports in Figure 3.1.
The distances A-B and C-D are identical (x) and adjustable. The member A-D is loaded by a
uniformly distributed load (q) as shown in the Figure 3.1. The allowable tensile and compressive
bending stresses of the member A-D are ±7.5 MPa, respectively.
q
A
x
B
-> a
a---a cross section
b3
D
(i)
(ii)
h3
b₂
C
h2
h
x
L
b₁
b
Figure. 3.1
(a) If the beam A-D has a rectangular cross section as shown in Figure. 3.1 - (i), determine the
optimal position (x) of the two supports so that the beam A-D can carry the largest load
without failure of the structure. Also, find the corresponding maximum allowable q. Take
h=300 mm and b=22 mm.
(b) Now reconsider the beam A-D with an asymmetric “I”-shaped cross section in Figure. 3.1
- (ii). If the magnitude of the distributed load q is equal to 137 kN/m and the overhang x is
equal to 137 mm, find the maximum compressive and tensile stresses in the beam. Take
h1=30 mm, h₂=240 mm, and h3=30 mm for heights, and b,=40 mm, b₂=22 mm, and b3=60
mm for widths. Is the beam safe with this configuration?

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