A1. Rank the materials by their breaking strength (amount of stress they can tak

Question

A1. Rank the materials by their breaking strength (amount of stress they can take before breaking).

a>b>c

a>c>b    

b>a>c

b>c>a

c>a>b

c>b>a

A2. Rank the materials by the value of their Young's moduli (at small stress).

a>b>c

a>c>b    

b>a>c

b>c>a

c>a>b

c>b>a

A3. Rank the materials by their extensibility (how far they can deform before breaking).

a>b>c

a>c>b    

b>a>c

b>c>a

c>a>b

c>b>a

Answer =

C. Youngs modulus for bone is about Y = 1.6 x 1010 N/m2. The tibia (shin bone) of a man is 0.2 m long and has an average cross sectional area of 0.02 m2. What is the effective spring constant of the tibia?


Answer = N/m

D. Given part (C), If a man weighs 750 N, how much is the tibia compressed if it supports half his weight?

Answer = m

The curves at the right show the stress-strain curves for the deformation of three different materials. The curves end at the "breaking strain" where the material fails. This point is marked with an x on each curve.

Explanation / Answer

A1.
Greter the value of stress they can handle before breaking, greater will be the breaking strength

Clearly breaking strength order is :
a>b>c

A2.
young modulus = stress / strain

For same stress , strain is most in c and least in a
so,
young modulus is largest of a and least for c
Order is:
a>b>c

A3.
Greter the value of strain they can handle before breaking, greater will be the extensibility

Clearly extensibility order is :
a<b<c
or:
c>b>a

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