Page 231 - Shigley's Mechanical Engineering Design

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206 Mechanical Engineering Design
4–92 A rectangular aluminum bar 10 mm thick and 60 mm wide is welded to fixed supports at the ends,
and the bar supports a load W = 4 kN, acting through a pin as shown. Find the reactions at the
supports and the deflection of point A.

y
B

600 mm
60 mm
Problem 4–92 10 mm thick W
A
400 mm
x
O

4–93 Solve Prob. 4–92 using Castigliano’s method and procedure 1 from Sec. 4–10.
4–94 An aluminum step bar is loaded as shown. (a) Verify that end C deflects to the rigid wall, and
(b) determine the wall reaction forces, the stresses in each member, and the deflection of B.

0.75-in dia. 0.5-in dia.
A B C
Problem 4–94 3 kip 2 kip
(Not drawn to scale)
8 in 5 in
0.005 in

4–95 The steel shaft shown in the figure is subjected to a torque of 200 lbf in applied at point A. Find
the torque reactions at O and B; the angle of twist at A, in degrees; and the shear stress in sections
OA and AB.

y
1 -in dia.
200 lbf in 2
Problem 4–95
x
O A B
4 in 6 in
4–96 Repeat Prob. 4–95 with the diameters of section OA being 0.5 in and section AB being 0.75 in.
4–97 The figure shows a - by 1-in rectangular steel bar welded to fixed supports at each end. The bar
1
2
is axially loaded by the forces F A = 12 kip and F B = 6 kip acting on pins at A and B. Assuming
that the bar will not buckle laterally, find the reactions at the fixed supports, the stress in section AB,
and the deflection of point A. Use procedure 1 from Sec. 4–10.

y
10 in
20 in 15 in
Problem 4–97 A B
C
1 in F A F B x
O
1 in thick
2