kNThe beam is supported by a pin at point A and a roller at point B. A distributed load of W1 = 40manapplied force of F1 = 20 kN and applied/couple moment M1 = 150 kN – m are applied to the beam.Neglect the weight and thickness of the beam.Take the origin for all functions to be at A. , i.e. start at the left and go right. Must use positive signconvention for V and M.W1F1M1d1d2Values for the figure are given in the following table. Note the figure may not be to scale.VariableValuedi8 md23 ma. For the interval 0 < x < 8 m, determine the equation for the Shear Force as a function of x, V).b. For the interval 0 < x< 8 m, Use integrals to determine the equation for the Moment as a function ofx, M(x).c. For the interval 8 < x < 11 m, determine the equation for the Shear Force as a function of x, Vx)d. For the interval 8 < x< 11 m, Use integrals to determine the equation for the Moment as a functionof x, M(x) .e. Determine the magnitude of the max shear on the beam,Vmaxf. Determine the magnitude of the max bending moment on the beam, M max

Consider the free-body diagram as shown below for the given beam.

kN The beam is supported by a pin at point A and a roller at point B. A distributed load of W1 = 40 ', an m applied force of F1 = 20 kN and applied/couple moment M1 = 150 kN – m are applied to the beam. Neglect the weight and thickness of the beam. Take the origin for all functions to be at A. , i.e. start at the left and go right. Must use positive sign convention for V and M.

kN The beam is supported by a pin at point A and a roller at point B. A distributed load of W1 = 40 ', an m applied force of F1 = 20 kN and applied/couple moment M1 = 150 kN – m are applied to the beam. Neglect the weight and thickness of the beam. Take the origin for all functions to be at A. , i.e. start at the left and go right. Must use positive sign convention for V and M.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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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

kN
The beam is supported by a pin at point A and a roller at point B. A distributed load of W1 = 40
m
an
applied force of F1 = 20 kN and applied/couple moment M1 = 150 kN – m are applied to the beam.
Neglect the weight and thickness of the beam.
Take the origin for all functions to be at A. , i.e. start at the left and go right. Must use positive sign
convention for V and M.
W1
F1
M1
d1
d2
Values for the figure are given in the following table. Note the figure may not be to scale.
Variable
Value
di
8 m
d2
3 m
a. For the interval 0 < x < 8 m, determine the equation for the Shear Force as a function of x, V).
b. For the interval 0 < x< 8 m, Use integrals to determine the equation for the Moment as a function of
x, M(x).
c. For the interval 8 < x < 11 m, determine the equation for the Shear Force as a function of x, Vx)
d. For the interval 8 < x< 11 m, Use integrals to determine the equation for the Moment as a function
of x, M(x) .
e. Determine the magnitude of the max shear on the beam,Vmax
f. Determine the magnitude of the max bending moment on the beam, M max

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