A post having a hollow, circular cross section supports a P = 3.5 kN load acting at the end of an arm that is b = 1.5 m long (see figure). 1.5 m, 9 m (-3.2 m, 2.5 m, 0) The height of the post is L = 9 m, and its section modulus is S = 2.56 x 10 mm³. Assume that the outer radius of the post is r, = 121 mm, and the inner radius is r, = 115 mm. (Assume that the structure behaves linearly elastically and that the stresses caused by two or more loads may be superimposed to obtain the resultant stresses acting at a point. Consider both in-plane and out-of-plane shear stresses unless otherwise specified.) (a) Calculate the maximum tensile stress omay and maximum in-plane shear stress Tmay at point A on the outer surface of the post along the x-axis due to the load P. Load P acts at B along line BC. (Enter the magnitudes in MPa.) "max = MPa Tmax = MPa
A post having a hollow, circular cross section supports a P = 3.5 kN load acting at the end of an arm that is b = 1.5 m long (see figure). 1.5 m, 9 m (-3.2 m, 2.5 m, 0) The height of the post is L = 9 m, and its section modulus is S = 2.56 x 10 mm³. Assume that the outer radius of the post is r, = 121 mm, and the inner radius is r, = 115 mm. (Assume that the structure behaves linearly elastically and that the stresses caused by two or more loads may be superimposed to obtain the resultant stresses acting at a point. Consider both in-plane and out-of-plane shear stresses unless otherwise specified.) (a) Calculate the maximum tensile stress omay and maximum in-plane shear stress Tmay at point A on the outer surface of the post along the x-axis due to the load P. Load P acts at B along line BC. (Enter the magnitudes in MPa.) "max = MPa Tmax = MPa
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A post having a hollow, circular cross section supports a P = 3.5 kN load acting at the end of an arm that is b = 1.5 m long (see figure).
1.5 m,
B
9 m
C
(-3.2 m, 2.5 m, 0)
The height of the post is L = 9 m, and its section modulus is S = 2.56 x 10° mm³. Assume that the outer radius of the post isr, = 121 mm, and the inner radius is r, = 115 mm. (Assume that the structure behaves
linearly elastically and that the stresses caused by two or more loads may be superimposed to obtain the resultant stresses acting at a point. Consider both in-plane and out-of-plane shear stresses unless otherwise
specified.)
(a) Calculate the maximum tensile stress omay and maximum in-plane shear stress tmay at point A on the outer surface of the post along the x-axis due to the load P. Load P acts at B along line BC. (Enter the
magnitudes in MPa.)
MPа
=
'max
MPa
Tmax
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