a) Calculate the reaction forces in terms of F and q. b) Calculate the internal shear force and moment as a function of x using cuts and summing forces and moments in terms of F, L, and q. c) Calculate the shear force and moments by integration in terms of x, L, F and q. d) Assuming a rectangular cross section compute the average normal stress for the case F =10kN at 30° where b =0.04 m, h = 0.08 m, at the point x = L/4, L = 1 m at the centroid. e) With the cross section given above compute the average normal stress for the case F =10kN at 30° at the point x = L/4, L = 1 m at each surface of the beam. f) Calculate the shear stress at the top and bottom surface, at the neutral axis and at x = 0.25 m

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.22P
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For the system below b=0.04m, h=0.08m
 
a) Calculate the reaction forces in terms of F and
q.
b) Calculate the internal shear force and moment as a function of x using cuts and summing
forces and moments in terms of F, L, and
q.
c) Calculate the shear force and moments by integration in terms of x, L, F and
q.
d) Assuming a rectangular cross section compute the average normal stress for the case F =10kN
at 30° where b =0.04 m, h = 0.08 m, at the point x = L/4, L = 1 m at the centroid.
e) With the cross section given above compute the average normal stress for the case F =10kN at
30° at the point x = L/4, L = 1 m at each surface of the beam.
f) Calculate the shear stress at the top and bottom surface, at the neutral axis and at x = 0.25 m
and y = 0.02 m above the neutral axis.
 
 
Pin
x
F
Ө
Ꮎ
Lm
I
L/2
m
Roller
End view
h
b
Transcribed Image Text:Pin x F Ө Ꮎ Lm I L/2 m Roller End view h b
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