A simple beam of length 2L supports a uniform load w throughout its span and a point load P at the midpoint. Which among the following is the value of the maximum moment? O wL² PL + 8 4 (w+P) L² 32 OwL² PL + 2 4 O WL² PL + 2 2 O (w+P)L²

A simple beam of length 2L supports a uniform load w throughout its span and a point load P at the midpoint. Which among the following is the value of the maximum moment? O wL² PL + 8 4 (w+P) L² 32 OwL² PL + 2 4 O WL² PL + 2 2 O (w+P)L²

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.4.32P: Two identical, simply supported beams AB and CD are placed so that they cross each other at their...

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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

A simple beam of length 2L supports a uniform load w throughout its span and a point load P at the midpoint. Which among the
following is the value of the maximum moment?
O wL² PL
+
8
4
(w+P) L²
32
OwL² PL
+
2
4
O WL² PL
+
2 2
O (w+P)L²
8

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