Page 228 - Shigley's Mechanical Engineering Design

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Deflection and Stiffness 203

A
C
R
Problem 4–76 P

B

4–77 Repeat Prob. 4–76 to find the vertical deflection at A.
4–78 For the curved steel beam shown, F = 6.7 kips. Determine the relative deflection of the applied
forces.

3 in
1.375 in
F
2 in 0.75 in 1.5 in
Problem 4–78 F A A
1.375 in
Section A–A

4 in

4–79 A steel piston ring has a mean diameter of 70 mm, a radial height h = 4.5 mm, and a thickness
b = 3 mm. The ring is assembled using an expansion tool that separates the split ends a distance
δ by applying a force F as shown. Use Castigliano’s theorem and determine the force F needed
to expand the split ends a distance δ = 1 mm.

h = 4.5 mm

F
Problem 4–79 +

F

4–80 For the steel wire form shown, use Castigliano’s method to determine the horizontal reaction
forces at A and B and the deflection at C.

C 2-mm dia.

30 N
Problem 4–80
40 mm
A B