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MECH 6615 Applied Elasticity
Quiz 4 Chapter 4
HOW ALL WORK FOR PARTIAL CREDIT.
a
Fall 2017
November 27, 2017
sed book, open notes and you may use all your Excel class projects as references. Be sure to show the
ps. (30 Points Total)
1. Failure Modeling (10 points)- Von Mises Criteria
You have a state of strain defined by the values below, note that the shear values are divided by two. If
Young's modulus is 70 GPA, Poisson ratio is 0.3 and K-E/(3(1-2), G-E/(2(1+1)),
λ=VE/((1+)(1-2)), calculate
a. (5pts) the stress field in MPa, don't forget that the strains are in microstrains.
b. (5pts) the safety factor for a Von Mises criteria if the yield stress is 500 MPa.
GR my 2x2
[100 500 4001
Strain is: 500 2006-200 strains for stren =
1400 200 3001
62
707
200'
1000
40.
600
1000
No
2,
Fron mures = 1/2 [( 6x-6y)² + (by-62)² + (62-6x), ² + 3.
6 (Tigt Tyst the) 11/2
+
61: 200
6y=400 32=600 Try=
1000
てんて
Gvw=
'
242=300
√2 ((200-400) + (400-600) 2 + (600-20)"
6 (10003+ (400)² + (300) 2))
N
1
√2 (200) + (-200) + (400)²+
6 (100²+ 4:00² + 300²)) 1/2
= 1967.23
X26723
a.
Stress (MPa) is:
6₁
62
b. Safety Factor=
0.617
89.90
mp
3/0
- 20x9 mp
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