Figure Q1 (a) shows the beam is subjected to a moment of 100 kN.m. (i) Compute the centroid and moment of inertia of the cross-section of the beam. (ii) Compute the maximum tensile and compressive stress.

Figure Q1 (a) shows the beam is subjected to a moment of 100 kN.m. (i) Compute the centroid and moment of inertia of the cross-section of the beam. (ii) Compute the maximum tensile and compressive stress.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.3.16P: A simple beam with an overhang is subjected to d point load P = 6kN. If the maximum allowable...

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

(a)
Figure Q1 (a) shows the beam is subjected to a moment of 100 kN.m.
(i) Compute the centroid and moment of inertia of the cross-section of the beam.
(ii) Compute the maximum tensile and compressive stress.
100 kN.m
75 mm
125 mm
30 mm
50 mm
Figure Q1 (a)
30 mm

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