A rectangular section of dimensions 120 x 200 mm is used as a beam on a 3 m span. If the beam is loaded by a concentrated load at the centre at 30° to the vertical as shown in Figure below. find the maximum value of the load P if the maximum bending stress is not to exceed 12 GPa. 200mm 120mm

A rectangular section of dimensions 120 x 200 mm is used as a beam on a 3 m span. If the beam is loaded by a concentrated load at the centre at 30° to the vertical as shown in Figure below. find the maximum value of the load P if the maximum bending stress is not to exceed 12 GPa. 200mm 120mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.13.5P: A rectangular beam with notches and a hole (see figure) has dimensions h = 5.5 in., h1= 5 in., and...

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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 rectangular section of dimensions 120 x 200 mm is used as a beam on a 3 m span. If the
beam is loaded by a concentrated load at the centre at 30° to the vertical as shown in Figure
below. find the maximum value of the load P if the maximum bending stress is not to exceed
12 GPa.
200mm
120mm

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