Question

A bone in a woman's leg has an effective cross‑sectional area of 3.34 cm2. If the bone is 32.1 cm long, how much longitudinal compressive force ?max can it withstand before breaking? ?max= N

How much will her bone compress Δ? if it is subjected to a force one‑tenth the magnitude of the force that breaks it? The longitudinal elastic modulus of human bone is about 9.60×109 N/m2. Give an answer in units of centimeters (cm).

Answer #1

Femur is the main bone in the upper leg. Assume that the minimum
cross-sectional area of the femur of a human adult is 6x10-4 m2 .
The weight of the human is 70 kg. The ultimate compression strength
for bone is 17 x 107 N.m-2. The Young’s modulus for bone in
compression is 0.9 x 1010 N.m-2.
What is the compression load at which fracture occurs? Comment
on the size of this force and compare it with the weight of...

A steel wire has the following properties: Length = 5.00 m
Cross-sectional area = 4.60×10−2 cm2 Young's modulus = 2.0×1011Pa
Shear modulus = 0.84×1011Pa Proportional limit = 3.60×108Pa
Breaking stress = 11.0×108Pa The proportional limit is the maximum
stress for which the wire still obeys Hooke's law (point B in
(Figure 1)). The wire is fastened at its upper end and hangs
vertically.
A) How great a weight can be hung from the wire without
exceeding the proportional limit?
B)...

A steel bar has cross-sectional area A=10-3
m2, Young modulus E= 2 x 1011 Pa and
Poisson’s ratio of 0.4. The steel bar has a rectangular cross
sectional area.
a.
If the bar is subject to
a compressive force of 105 N, find the corresponding
longitudinal and transverse
strains.
[3 marks]
b. Two strain
gauges, each with unstrained resistance of 120 Ω and a gauge factor
of 2.0 are bonded on to the top surface of the steel bar....

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