Question Help 1 Question Help 2 Question Help 3 Question Help 4 Question Help 5 Question Help 6 Question Help 7 Question Help 8

Ans. 1

(a)
Calculate the sheer stress,
The Area,
2 rA h
The stress,
2 rs
P P
A h


 
(b)
Calculate the displacement,
The shear strain,
2
P
G hG



 
Now,
Let the displacement is, d ,
So,
2
2
2
ln
2 2
d
Pd
d d
hG
Pd P
d
hG hG d
 

 
 
 
   


Ans. 2
Consider the FBD,


The horizontal component is responsible for the stress in the string,
So,
mgcos Stress Area  
Calculate the angle,
6
cos 0.6
10
  
So,
mg 0.6 50 100
mg 8333.33 N
m 850.34 kg
  



Taking, 9.8g 

Ans. 3
The FBD,

Apply the equation of moment,
0
( ) ( )
A
c D
M
T c T d PL

 


And,
c d
c d
 

The relation between the force and displacement,
(2 )
,c Dc D
T h T h
EA EA
  
So,
(2 )
2
c D
c D
T h T h
cEA dEA
T T
c d



Now,
2 2 2 2
2
,
2 2
c D
cPL dPL
T T
c d c d
 
 

Calculate the tensile stress,
2 2
2 2
2
(2 )
(2 )
c
c
D
D
T cPL
A A c d
T dPL
A A c d


 

 


Now, ...