A simple beam is shown in Figure Q2(a) has three concentrated loads at the position indicated. The beam is square cross section of dimensions 100 mmx 100 mm, determine, (1) support reactions; (ii) maximum bending moment; (ii) maximum bending stress.

A simple beam is shown in Figure Q2(a) has three concentrated loads at the position indicated. The beam is square cross section of dimensions 100 mmx 100 mm, determine, (1) support reactions; (ii) maximum bending moment; (ii) maximum bending 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

Chapter4: Shear Forces And Bending Moments

Section: Chapter Questions

Problem 4.5.27P: The simple beam ACE shown in the figure is subjected to a triangular load of maximum intensity q0=...

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

Q2(a) A simple beam is shown in Figure Q2(a) has three concentrated loads
at the position indicated. The beam is square cross section of dimensions
100 mmx 100 mm, determine,
(1)
support reactions;
(ii)
maximum bending moment;
(ii)
maximum bending stress.
200 kN
300 kN
200 kN
A
D
E
4 m
4 m
5m
3 m
Support-1
Support-2
Figure Q2(a)
(b)
The area of cross section of the beam is increased, explain its effect on
maximum bending stress and justify the answer.
B.

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