The strain rosette shown in the figure was used to obtain the following normal strain data on a piece of aluminum. The plate has a modulus of elasticity of 10,000 ksi and a Poisson’s Ratio of 0.35. The strain readings were εa = 600 με, εb = 900 με, and εc = 120 με. Note: 1 με = 1 X 10-6 in/in. a) Calculate the normal strain in the x- and y- directions (εx and εy) and the shear strain (γxy) using a system of equations. b) Calculate the normal stress σx in ksi. Clearly indicate Tension (T) or Compression (C). Note: even though the normal stress in the z-direction is zero, but the normal strain in the z-direction is NOT zero. [Ans. to Check σx = 7.18 ksi (T)] c) Calculate the normal stress σy in ksi. Clearly indicate Tension (T) or Compression (C). d) Calculate the shear stress τxy in ksi.

Structural Analysis
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Chapter2: Loads On Structures
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The strain rosette shown in the figure was used to obtain the following normal strain data on a piece
of aluminum. The plate has a modulus of elasticity of 10,000 ksi and a Poisson’s Ratio of 0.35. The
strain readings were εa = 600 με, εb = 900 με, and εc = 120 με. Note: 1 με = 1 X 10-6 in/in.
a) Calculate the normal strain in the x- and y- directions (εx and εy) and the shear strain (γxy) using a
system of equations.
b) Calculate the normal stress σx in ksi. Clearly indicate Tension (T) or Compression (C). Note: even
though the normal stress in the z-direction is zero, but the normal strain in the z-direction is NOT
zero. [Ans. to Check σx = 7.18 ksi (T)]
c) Calculate the normal stress σy in ksi. Clearly indicate Tension (T) or Compression (C).
d) Calculate the shear stress τxy in ksi. 

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