Physics 1: Sample Problems in Elasticity, Exercises of Physics

This exercises will enable the students to work on problems concerning elasticity.

Typology: Exercises

2021/2022

Uploaded on 02/28/2023

Chemphys
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GPaorPax
Pax
E
m
mm
l
ll
MPaorPax
m
Nx
D
F
D
F
A
F
o
of
915.1510915.15
01.0
1015.159
01.0
5.0
)5.051.0(
15.1591015.159
)02.0(
)1050(44
4
9
6
6
2
3
2
2
===
=
=
=
=====
m
mN
N
k
F
xkxF25.1
/4
5====
1. A spring with a spring constant of 4 N/m has a force of 40 N stretching it.
How much does the spring stretch?
SOLUTION:
2. A bar is 0.5m long and is stretched to 0.51m with a force of 50 KN. The bar
is 0.02m in diameter. Determine the tensile stress, tensile strain and the
modulus of elasticity.
SOLUTION:
pf2

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x Paor GPa

x Pa E

m

m m

l

l l

x Paor MPa m

x N

D

F

D

F

A

F

o

f o

9

6

6 2

3

2 2

⊥ ⊥ ⊥

m

N m

N

k

F

F kx x 1. 25

  1. A spring with a spring constant of 4 N/m has a force of 40 N stretching it.

How much does the spring stretch?

SOLUTION:

  1. A bar is 0.5m long and is stretched to 0.51m with a force of 50 KN. The bar

is 0.02m in diameter. Determine the tensile stress, tensile strain and the

modulus of elasticity.

SOLUTION:

F A x Pa m x m x N

G x Pa x Paor GPa

m

x m

h

x

TAN

9 4 5

9 9

4

( 1. 59 10 )( 0. 1 )( 20 10 ) 3. 18 10

( 0. 02 )( 79. 3 10 ) 1. 59 10 1. 58

  1. 02
  2. 1

20 10

= = =

= = =

= = =

x Pa x Paor GPa V

pV B

o ( 7 10 )( 0. 04 ) 0. 28 10 0. 28

9 9 = = 

  1. The steel base plate of the building column experiences shear forces as a

result of an earthquake. The steel base plate is 0.25m^2 and 0.1m thick. The

modulus of rigidity of steel is 79.3 GPa. How large a force must be exerted

on each of its edges if the deformed displacement is 20x10-^4 m?

SOLUTION:

  1. A steel ball is immersed in a liquid so that the hydrostatic pressure is 7 GPa.

This pressure causes a contraction in the diameter of the steel ball. If the ratio

of its original volume to the change in the volume is 0.04, determine the bulk

modulus.

SOLUTION: