A composite beam shown below is subject to pure bending with moment of 1000 lb. in. The beam is made of two different materials (material 1 on top and bottom, material 2 in the middle) with the following properties. E₁ = 3.00×104 ksi, E₂ = 1.2×104 ksi. h = 4 in., b₁ = 1 in., and b₂ = 6 in. . M 2 2 M b₁ b₂ b₁

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A composite beam shown below is subject to pure bending with moment of 1000 lb. in. The beam is made of
two different materials (material 1 on top and bottom, material 2 in the middle) with the following properties.
E₁ = 3.00×104 ksi, E₂ = 1.2×104 ksi.
h = 4 in., b₁ = 1 in., and b₂ = 6 in. .
M
=
2
M
⇒ ⇒
←
b₁ b₂ b₁
Transcribed Image Text:A composite beam shown below is subject to pure bending with moment of 1000 lb. in. The beam is made of two different materials (material 1 on top and bottom, material 2 in the middle) with the following properties. E₁ = 3.00×104 ksi, E₂ = 1.2×104 ksi. h = 4 in., b₁ = 1 in., and b₂ = 6 in. . M = 2 M ⇒ ⇒ ← b₁ b₂ b₁
The maximum stress in material 1 is
75.0 psi
104 psi
56.2 psi
85.2 psi
28.1 psi
What is the radius of curvature (p) of the bent beam? You can use one of these formulas.
M₁
E₁I₁'
1
P
1 = M1₂
or
M
=₁h+E₂1₂
O 7.04x 105 in.
O 5.63×106 in.
O 3.87×105 in.
O 1.06x 104 in.
O 7.74x104 in.
What % of total couple moment is supported by the material 1?
50%
30 %
20%
45 %
36%
Transcribed Image Text:The maximum stress in material 1 is 75.0 psi 104 psi 56.2 psi 85.2 psi 28.1 psi What is the radius of curvature (p) of the bent beam? You can use one of these formulas. M₁ E₁I₁' 1 P 1 = M1₂ or M =₁h+E₂1₂ O 7.04x 105 in. O 5.63×106 in. O 3.87×105 in. O 1.06x 104 in. O 7.74x104 in. What % of total couple moment is supported by the material 1? 50% 30 % 20% 45 % 36%
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