2. Note the loaded beam shown in figure 2. Point A is at x = 0 m, point B is at point x = 6 m, and point C is at x = 8 m. Note that there is an applied clockwise moment of 200 kN-m at point C. Derive the equations that describe shear (V) and bending moment (M) over the length of the loaded beam. Include free body diagrams of the sections for each distinct region of the beam. You do not need to draw the shear and bending moment diagrams. Just derive the equations.

2. Note the loaded beam shown in figure 2. Point A is at x = 0 m, point B is at point x = 6 m, and point C is at x = 8 m. Note that there is an applied clockwise moment of 200 kN-m at point C. Derive the equations that describe shear (V) and bending moment (M) over the length of the loaded beam. Include free body diagrams of the sections for each distinct region of the beam. You do not need to draw the shear and bending moment diagrams. Just derive the equations.

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

2. Note the loaded beam shown in figure 2. Point A is at x = 0 m, point B is at point x = 6 m,
and point C is at x = 8 m. Note that there is an applied clockwise moment of 200 kN•m at
point C.
Derive the equations that describe shear (V) and bending moment (M) over the length
of the loaded beam. Include free body diagrams of the sections for each distinct region
of the beam. You do not need to draw the shear and bending moment diagrams. Just
derive the equations.
20 KN/m
200 KN, m
A
B
Figure 2

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