A simple beam AB supports two connected wheel loads P and 2P that are distance d apart. The wheels may be placed at any distance x from the left-hand support of the beam. 2P a) Determine the distance x that will produce the maximum shear force in the beam and the maximum shear force Vmax. b) Determine the distance x that will produce the maximum bending moment in the beam and draw the corresponding bending moment diagram. (Assume P = 10 kN , d = 2.4 m, and L = 12 m.)

A simple beam AB supports two connected wheel loads P and 2P that are distance d apart. The wheels may be placed at any distance x from the left-hand support of the beam. 2P a) Determine the distance x that will produce the maximum shear force in the beam and the maximum shear force Vmax. b) Determine the distance x that will produce the maximum bending moment in the beam and draw the corresponding bending moment diagram. (Assume P = 10 kN , d = 2.4 m, and L = 12 m.)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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

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A simple beam AB supports two connected
wheel loadsP and 2P that are distance d apart.
The wheels may be placed at any distance x
from the left-hand support of the beam.
2P
a) Determine the distance x that will produce
the maximum shear force in the beam and
the maximum shear force Vmax.
b) Determine the distance x that will produce
the maximum bending moment in the beam
and
draw
the
corresponding bending
moment diagram. (Assume P= 10 kN , d =
2.4 m, and L = 12 m.)

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