Assignment 2, MSE 362
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Assignment 2, MSE 362
Due Date: 04-21-2023 (end of the day)
Q 1) Load-unloading path of a nano-indenter on the surface of a steel specimen is recorded as shown below. Calculate total plastic energy and elastic energy at the moment of unloading. Use data in the tables given below to approximate the loading and unloading curves.
Loading Curve
|
Displacement (µm) |
Force (mN) |
|
0 |
0 |
|
0.5 |
30 |
|
1 |
90 |
|
1.5 |
180 |
|
2.1 |
350 |
Unloading Curve
|
Displacement (µm) |
Force (mN) |
|
2.1 |
350 |
|
1.8 |
150 |
|
1.6 |
60 |
|
1.4 |
0 |
Q 2) A piece of steel is glued between two walls as shown below. What is the maximum temperature increase before epoxy fails? For simplicity, assume 1D analysis (neglect Poisson’s effect) and consider linear elastic behavior. (Hint: mechanical stress in the steel is equal to the mechanical stress in epoxy)
Esteel = 200 GPa, asteel = 10 × 10 −6 
Eepoxy = 10 GPa, aepoxy = 50 × 10 −6 
, uult = 50 MPa
Q 3) A cantilever beam with a rectangular cross section is loaded to failure. Calculate force and deflection at failure. What is the percentage of shear deflection at failure?
E = 10 GPa, v = 0.32 , Gult = 45 MPa
Length= 0.2 m, Width=0.02 m, height = 0.01 m
2023-04-19