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

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

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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Question

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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