A bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Using the data given in the table, determine the largest permissible bending moment when the composite bar is bent about a vertical axis. Take x = 30 mm. Modulus of elasticity Allowable stress Aluminum Brass Aluminum 70 GPa 100 MPa 10 mm 10 mm 40 mm- Brass 105 GPa 160 MPa 10 mm X 10 mm The largest permissible bending moment when the composite bar is bent about a vertical axis is 1.689 kN.m.

Structural Analysis
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Chapter2: Loads On Structures
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A bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Using the data given in the
table, determine the largest permissible bending moment when the composite bar is bent about a vertical axis. Take x = 30 mm.
Modulus of elasticity
Allowable stress
Aluminum
Brass
Aluminum
70 GPa
100 MPa
10 mm 10 mm
40 mm-
Brass
105 GPa
160 MPa
10 mm
X
10 mm
The largest permissible bending moment when the composite bar is bent about a vertical axis is 1.689
kN.m.
Transcribed Image Text:A bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Using the data given in the table, determine the largest permissible bending moment when the composite bar is bent about a vertical axis. Take x = 30 mm. Modulus of elasticity Allowable stress Aluminum Brass Aluminum 70 GPa 100 MPa 10 mm 10 mm 40 mm- Brass 105 GPa 160 MPa 10 mm X 10 mm The largest permissible bending moment when the composite bar is bent about a vertical axis is 1.689 kN.m.
Expert Solution
Step 1 Permissible bending moment

Reference : Mechanics, Bending moment of composite bars.

Given :

Modulus of elasticity and allowable stresses for both materials.

To determine  :

Largest permissible bending moment of composite bar.

 

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