For the structural beam loaded and supported as shown in Figure 2, (a) Draw a free body diagram and find the support reaction forces/moments. (b) Determine the shear force values at the supports and other relevant transition points. Using these, draw the Shear Force Diagram (SFD). (c) Determine the bending moment values at the supports and other relevant transition points and draw the bending moment diagram (BMD).

For the structural beam loaded and supported as shown in Figure 2, (a) Draw a free body diagram and find the support reaction forces/moments. (b) Determine the shear force values at the supports and other relevant transition points. Using these, draw the Shear Force Diagram (SFD). (c) Determine the bending moment values at the supports and other relevant transition points and draw the bending moment diagram (BMD).

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

For the structural beam loaded and supported as shown in Figure 2,
(a)
Draw a free body diagram and find the support reaction
forces/moments.
(b)
Determine the shear force values at the supports and other relevant
transition points. Using these, draw the Shear Force Diagram (SFD).
(c)
Determine the bending moment values at the supports and other
relevant transition points and draw the bending moment diagram
(BMD).
(d) Write the mathematical expressions for shear force and bending
moment at a section X-X between the points A and B, which is at a
distance x from support A.
(e)
Find the distance from support A to the position of maximum bending
moment and determine the value of Mmax.
2 kN/m
10 kN
A
B
D
5m
3 m
2 m
Figure 2
2.

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