The figure shows a beam made from a material having an allowable tensile stress of 135 MPa and a compressive stress of 165 MPa. The couple M is applied to the beam in a plane forming an angle of 45° as shown in the figure. a) Determine the location of the centroid of the cross section b) Calculate the moments of inertia about the principal axes, I, and ly c) Determine the maximum allowable internal moment M that can be applied to the beam Z M Y 140 mm 140 mm 45⁰ 140 mm 280 mm 140 mm 140 mm

The figure shows a beam made from a material having an allowable tensile stress of 135 MPa and a compressive stress of 165 MPa. The couple M is applied to the beam in a plane forming an angle of 45° as shown in the figure. a) Determine the location of the centroid of the cross section b) Calculate the moments of inertia about the principal axes, I, and ly c) Determine the maximum allowable internal moment M that can be applied to the beam Z M Y 140 mm 140 mm 45⁰ 140 mm 280 mm 140 mm 140 mm

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Pressure and Stress

Question

The figure shows a beam made from a material having an allowable tensile stress of 135
MPa and a compressive stress of 165 MPa. The couple M is applied to the beam in a plane
forming an angle of 45° as shown in the figure.
a) Determine the location of the centroid of the cross section
b) Calculate the moments of inertia about the principal axes, I, and ly
c) Determine the maximum allowable internal moment M that can be applied to the beam
N
M
Y
140 mm 140 mm
45⁰
140 mm
280 mm
140 mm
140 mm

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