A cantilever beam AB, loaded by a uniform load and a concentrated load (see figure), is constructed of a channel section. 250 Ib 22.5 Ib/ft B 5.0 ft 3.0 ft- HE. 0.617 in. 12.269 in. (a) Find the maximum tensile stress o, (in psi) and maximum compressive stress o, (in psi) if the cross section has the dimensions indicated and the moment of inertia about the z-axis (the neutral axis) is I = 3.10 in4. Note: The uniform load represents the weight of the beam. (Use the deformation sign convention.) psi psi (b) Find the maximum value of the concentrated load (in Ib) if the maximum tensile stress cannot exceed 4 ksi and the maximum compressive stress is limited to 18.0 ksi. (Enter the magnitude.) Ib (c) How far from A (in ft) can load P = 250 lb be positioned if the maximum tensile stress cannot exceed 4 ksi and the maximum compressive stress is limited to 18.0 ksi? ft

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter10: Statically Indeterminate Beams
Section: Chapter Questions
Problem 10.6.2P: (a) A simple beam AB with length L and height h supports a uniform load of intensity q (see the...
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A cantilever beam AB, loaded by a uniform load and a concentrated load (see figure), is constructed of a channel section.
250 lb
22.5 lb/ft
A
5.0 ft
3.0 ft-
0.617 in.
2.269 in.
(a) Find the maximum tensile stress o, (in psi) and maximum compressive stress o, (in psi) if the cross section has the dimensions indicated and the moment of inertia about the z-axis (the neutral axis) is
I = 3.10 in4. Note: The uniform load represents the weight of the beam. (Use the deformation sign convention.)
O, =
psi
psi
(b) Find the maximum value of the concentrated load (in Ib) if the maximum tensile stress cannot exceed 4 ksi and the maximum compressive stress is limited to 18.0 ksi. (Enter the magnitude.)
Ib
(c) How far from A (in ft) can load P = 250 lb be positioned if the maximum tensile stress cannot exceed 4 ksi and the maximum compressive stress is limited to 18.0 ksi?
ft
Transcribed Image Text:A cantilever beam AB, loaded by a uniform load and a concentrated load (see figure), is constructed of a channel section. 250 lb 22.5 lb/ft A 5.0 ft 3.0 ft- 0.617 in. 2.269 in. (a) Find the maximum tensile stress o, (in psi) and maximum compressive stress o, (in psi) if the cross section has the dimensions indicated and the moment of inertia about the z-axis (the neutral axis) is I = 3.10 in4. Note: The uniform load represents the weight of the beam. (Use the deformation sign convention.) O, = psi psi (b) Find the maximum value of the concentrated load (in Ib) if the maximum tensile stress cannot exceed 4 ksi and the maximum compressive stress is limited to 18.0 ksi. (Enter the magnitude.) Ib (c) How far from A (in ft) can load P = 250 lb be positioned if the maximum tensile stress cannot exceed 4 ksi and the maximum compressive stress is limited to 18.0 ksi? ft
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