2. An axial rod made of three different materials is fixed between two walls. (You can do this problem without a calculator.) E1 = E = 10 Msi a = a= 10 × 106/°F A1 = A2 = A3 = A = 2 in? Li = L2 = L3 =L = 10 in. E3 = 3E = 30 Msi Oz = 3a= 30 × 10/°F E2 = 2E = 20 Msi O2 = 2a= 20 x 10F The temperature is decreased by 110°F. a) Determine the stress in material1, 61. Specify tension or compression. b) Determine the deflection of point B. Specify – or →. Hint: It may be easier to solve the problem symbolically, in terms of E, a, A, L, AT, and then substitute the numbers at the end. Ans: ơ1 = 36 ksi (T), & = 2.5 x 10² in (→)

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2. An axial rod made of three different materials is fixed between two walls. (You can do this
problem without a calculator.)
E1 = E = 10 Msi
E2 = 2E = 20 Msi
a2 = 2a= 20 × 10/°F
E3 = 3E = 30 Msi
O = a= 10 × 10/°F
A1 = A2 = A3 = A = 2 in?
Li = L2 = L3 = L = 10 in.
Oz = 3a= 30 × 10/°F
The temperature is decreased by 110°F.
a) Determine the stress in material 1, ơ1. Specify tension or compression.
b) Determine the deflection of point B. Specify
+ or →,
Hint: It may be easier to solve the problem symbolically, in terms of E, a, A, L, AT, and then
substitute the numbers at the end.
Ans: o1 = 36 ksi (T), & = 2.5 x 10² in (→)
В
1
2
3
Transcribed Image Text:2. An axial rod made of three different materials is fixed between two walls. (You can do this problem without a calculator.) E1 = E = 10 Msi E2 = 2E = 20 Msi a2 = 2a= 20 × 10/°F E3 = 3E = 30 Msi O = a= 10 × 10/°F A1 = A2 = A3 = A = 2 in? Li = L2 = L3 = L = 10 in. Oz = 3a= 30 × 10/°F The temperature is decreased by 110°F. a) Determine the stress in material 1, ơ1. Specify tension or compression. b) Determine the deflection of point B. Specify + or →, Hint: It may be easier to solve the problem symbolically, in terms of E, a, A, L, AT, and then substitute the numbers at the end. Ans: o1 = 36 ksi (T), & = 2.5 x 10² in (→) В 1 2 3
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