A horizontal shelf AD of length L = 1215 mm, width b= 305 mm, and thickness t= 22 mm is supported by brackets at B and C (see part a of Figure 1). The brackets are adjustable and may be placed in any desired positions between the ends of the shelf. A uniform load of intensity q, which includes the weight of the shelf itself, acts on the shelf (see part b of Figure 1). L. (a) Determine the maximum permissible value of the load q if the allowable bending stress in the shelf is 8.5 MPa and the position of the supports is adjusted for maximum load carrying capacity. D В C %3! Oallow (b) Hint: Find the spacing x between the two supports, such that the maximum and minimum bending moments are equal in absolute value. Figure 1. © 2013 Cengage Learning Engineering. All Rights Reserved D)

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.6.20P
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Answer with proper explanations.
A horizontal shelf AD of length L = 1215 mm, width
b= 305 mm, and thickness t= 22 mm is supported by
brackets at B and C (see part a of Figure 1). The
brackets are adjustable and may be placed in any
desired positions between the ends of the shelf. A
uniform load of intensity q, which includes the
weight of the shelf itself, acts on the shelf (see part b
of Figure 1).
L.
(a)
Determine the maximum permissible value of the
load q if the allowable bending stress in the shelf is
8.5 MPa and the position of the supports is
adjusted for maximum load carrying capacity.
D
В
C
%3!
Oallow
(b)
Hint: Find the spacing x between the two supports,
such that the maximum and minimum bending
moments are equal in absolute value.
Figure 1. © 2013 Cengage Learning
Engineering. All Rights Reserved
D)
Transcribed Image Text:A horizontal shelf AD of length L = 1215 mm, width b= 305 mm, and thickness t= 22 mm is supported by brackets at B and C (see part a of Figure 1). The brackets are adjustable and may be placed in any desired positions between the ends of the shelf. A uniform load of intensity q, which includes the weight of the shelf itself, acts on the shelf (see part b of Figure 1). L. (a) Determine the maximum permissible value of the load q if the allowable bending stress in the shelf is 8.5 MPa and the position of the supports is adjusted for maximum load carrying capacity. D В C %3! Oallow (b) Hint: Find the spacing x between the two supports, such that the maximum and minimum bending moments are equal in absolute value. Figure 1. © 2013 Cengage Learning Engineering. All Rights Reserved D)
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ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning