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 IA 5.0 ft 3,0 ft |0.617 in. 12.269 in. C inertia about the z-axis (the neutral axis) is I = 3.31 in. Note: The uniform load represents the (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 weight of the beam. (Use the deformation sign convention.) psi psi (Enter the magnitude.) (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 17.5 Ib (c) How far from A (in ft) can load P = 250 Ib be positioned if the maximum tensile stress cannot exceed 4 ksi and the maximum compressive stress is limited to 17.5 ksi? ft

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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
LA
В
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 = 3.31 in*. Note: The uniform load represents the
weight of the beam. (Use the deformation sign convention.)
O, =
psi
O. =
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 17.5 ksi. (Enter the magnitude.)
Ib
(c) How far from A (in ft) can load P = 250 Ib be positioned if the maximum tensile stress cannot exceed 4 ksi and the maximum compressive stress is limited to 17.5 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 LA В 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 = 3.31 in*. Note: The uniform load represents the weight of the beam. (Use the deformation sign convention.) O, = psi O. = 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 17.5 ksi. (Enter the magnitude.) Ib (c) How far from A (in ft) can load P = 250 Ib be positioned if the maximum tensile stress cannot exceed 4 ksi and the maximum compressive stress is limited to 17.5 ksi? ft
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