Develop the general equations for transverse shear stress in the web and flanges of the I-beam cross-section in the figure below for a cantilever beam carrying a point load of magnitude 5 kN at its free end that acts vertically downward [ You may use symmetry to simplify your solution].

Develop the general equations for transverse shear stress in the web and flanges of the I-beam cross-section in the figure below for a cantilever beam carrying a point load of magnitude 5 kN at its free end that acts vertically downward [ You may use symmetry to simplify your solution].

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.9.3P: The cross section of an unbalanced wide-flange beam is shown in the figure. Derive the following...

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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

1.1
Develop the general equations for transverse shear stress in the web and flanges of
the I-beam cross-section in the figure below for a cantilever beam carrying a point
load of magnitude 5 kN at its free end that acts vertically downward [You may use
symmetry to simplify your solution].
1.2. Calculating the values of transverse shear at the principle points using the equations
developed in response to question 1.1
y
100 mm
10 mm
15 mm
150 mm
10 mm

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