Problem 1: (50 points) In Avengers 2, Captain America's improved shield is made from unobtainium, a new material that will soon be available in a store near you. Unobtainium has the normal stress- strain diagram shown. The proportional limit, the elastic limit and the yield point are identical in this material. o [MPa] 200 175 150 125 100 75 50 25 Normal 0 0. 0.05 0.1 Unobtainium has a Poisson's ratio of 0.3. a. [6pts] Identify the yield point oy, the ultimate stress ou and the fracture stress of. Include units. P = 375 KN c. [25pts] A bar of unobtainium has a length of 1.5 m, a width of 100mm and a height of 50 mm, as shown. The cross-sectional area is 50mm * 100mm = 5 x 10-³m². The bar is subjected to an axial force of 375 kN. Find the normal stress in a cross-section of the bar. b. [5pts] How do you find Young's modulus from this graph? Find its value with units. 0.15 0.2 0.25 0.3² [mm/mm] 1.5 m. 50 mm 100 mm Is the material within its linear-elastic region? Yes / No Calculate the longitudinal normal strain under this loading AND indicate it in the stress-strain diagram above. P=375 KN Z

Elements Of Electromagnetics
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Problem 1: (50 points)
In Avengers 2, Captain America's improved
shield is made from unobtainium, a new
material that will soon be available in a store
near you. Unobtainium has the normal stress-
strain diagram shown. The proportional limit,
the elastic limit and the yield point are
identical in this material.
o [MPa]
2001
175
150
125
100
Fig.1 Normal stress-strain
75
50
25
0
0. 0.05 0.1 0.15 0.2 0.25
Unobtainium has a Poisson's ratio of 0.3.
a. [6pts] Identify the yield point oy, the ultimate stress ou and the fracture
stress of. Include units.
c. [25pts] A bar of unobtainium has a length of
1.5 m, a width of 100mm and a height of 50
mm, as shown. The cross-sectional area is
50mm 100mm = 5 x 10-³m². The bar is
subjected to an axial force of 375 kN.
Find the normal stress in a cross-section of the bar.
b. [5pts] How do you find Young's modulus from this graph? Find its value with units.
whesta fins dus al hoss
P = 375 KN
1.5 m
0.3
50 mm
100 mm
& [mm/mm]
Is the material within its linear-elastic region? Yes / No
Calculate the longitudinal normal strain under this loading AND indicate it in the stress-strain
diagram above.
P = 375 KN
Transcribed Image Text:Problem 1: (50 points) In Avengers 2, Captain America's improved shield is made from unobtainium, a new material that will soon be available in a store near you. Unobtainium has the normal stress- strain diagram shown. The proportional limit, the elastic limit and the yield point are identical in this material. o [MPa] 2001 175 150 125 100 Fig.1 Normal stress-strain 75 50 25 0 0. 0.05 0.1 0.15 0.2 0.25 Unobtainium has a Poisson's ratio of 0.3. a. [6pts] Identify the yield point oy, the ultimate stress ou and the fracture stress of. Include units. c. [25pts] A bar of unobtainium has a length of 1.5 m, a width of 100mm and a height of 50 mm, as shown. The cross-sectional area is 50mm 100mm = 5 x 10-³m². The bar is subjected to an axial force of 375 kN. Find the normal stress in a cross-section of the bar. b. [5pts] How do you find Young's modulus from this graph? Find its value with units. whesta fins dus al hoss P = 375 KN 1.5 m 0.3 50 mm 100 mm & [mm/mm] Is the material within its linear-elastic region? Yes / No Calculate the longitudinal normal strain under this loading AND indicate it in the stress-strain diagram above. P = 375 KN
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