A beam with rigid support at A, pin connection at C and roller at D has the geometry and loads as shown in the figure and parameter table. Find the equations for the shear and moment as a function of z in each segment of the beam. Follow the sign convention that positive shear tends to rotate the object clockwise, and a positive moment would tend to bend the object concave up. Take the origin for all functions to be at A. D parameter value units 790 N-m 350 N/m 2. L2 2. L3 Segment AB (0 m

A beam with rigid support at A, pin connection at C and roller at D has the geometry and loads as shown in the figure and parameter table. Find the equations for the shear and moment as a function of z in each segment of the beam. Follow the sign convention that positive shear tends to rotate the object clockwise, and a positive moment would tend to bend the object concave up. Take the origin for all functions to be at A. D parameter value units 790 N-m 350 N/m 2. L2 2. L3 Segment AB (0 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 beam with rigid support at A, pin connection at C'and roller at D has the geometry and loads as shown
in the figure and parameter table. Find the equations for the shear and moment as a function of z in each
segment of the beam.
Follow the sign convention that positive shear tends to rotate the object clockwise, and a positive moment
would tend to bend the object concave up. Take the origin for all functions to be at A.
B
В
|C
D
parameter value
units
M.
790
N-m
350
N/m
L1
L2
L3
2
2
3
Segment AB (0 m <x < 2 m)
V(x) =
N
М(г) —
N-m
Segment BC (2 m < x < 4m)
V(x) =
М(г) —
N-m
Segment CD (4 m < x < 7 m)
V(z) =
M(r) =
N-m

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