3) The rigid link is supported by steel wire (1) with an unstretched length of 200 mm and cross-sectional area of 22.5 mm2. Member (2) is a short aluminum of initial length 50 mm and cross-sectional area of 40 mm?. The modulus of elasticity of the steel wire is 200 GPa and the aluminum block is 70 GPa. a) Draw the deflected shape of the rigid member and clearly label the deformation of members (1) and (2). b) Write the equilibrium and compatibility equations needed to solve the problem along with the supporting sketches. Hint: Be sure to carefully consider if the members are elongating or shortening; this must be represented mathematically. c) Calculate the internal forces in both axial members and clearly indicate tension or compression. [Ans. to Check: F2 = 535 N]

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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3) The rigid link is supported by steel wire (1) with an unstretched length of 200 mm and cross-sectional
area of 22.5 mm?. Member (2) is a short aluminum of initial length 50 mm and cross-sectional area of
40 mm?. The modulus of elasticity of the steel wire is 200 GPa and the aluminum block is 70 GPa.
a) Draw the deflected shape of the rigid member and clearly label the deformation of members (1)
and (2).
b) Write the equilibrium and compatibility equations needed to solve the problem along with the
supporting sketches. Hint: Be sure to carefully consider if the members are elongating or
shortening; this must be represented mathematically.
c) Calculate the internal forces in both axial members and clearly indicate tension or compression.
[Ans. to Check: F2 = 535 N]
Transcribed Image Text:3) The rigid link is supported by steel wire (1) with an unstretched length of 200 mm and cross-sectional area of 22.5 mm?. Member (2) is a short aluminum of initial length 50 mm and cross-sectional area of 40 mm?. The modulus of elasticity of the steel wire is 200 GPa and the aluminum block is 70 GPa. a) Draw the deflected shape of the rigid member and clearly label the deformation of members (1) and (2). b) Write the equilibrium and compatibility equations needed to solve the problem along with the supporting sketches. Hint: Be sure to carefully consider if the members are elongating or shortening; this must be represented mathematically. c) Calculate the internal forces in both axial members and clearly indicate tension or compression. [Ans. to Check: F2 = 535 N]
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