A beam with a rectangular cross section of 50 mm high and 20 mm wide is loaded as indicated in the figure. Determine the: (a) reaction forces at A and B (b) intervals of interest (c) equations for the shear force and bending moment as a function of x 1500 Nm q= 700 N/m 500 N 1m 1m 1m 1m 1m

A beam with a rectangular cross section of 50 mm high and 20 mm wide is loaded as indicated in the figure. Determine the: (a) reaction forces at A and B (b) intervals of interest (c) equations for the shear force and bending moment as a function of x 1500 Nm q= 700 N/m 500 N 1m 1m 1m 1m 1m

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.11.3P: A thin-walled aluminum tube of rectangular cross section (sec fig me) has a centerline dimensions b...

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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 beam with a rectangular cross section of 50 mm high and 20 mm wide is loaded as indicated in the figure. Determine
the:
(a) reaction forces at A and B
(b) intervals of interest
(c) equations for the shear force and bending moment as a function of x
q= 700 N/m
1500 Nm
500 N
1m
1m
1m
1m
1m

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