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.
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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
Transcribed Image Text: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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