In a plane strain problem, we have: ax = 30,000 psi, ay = —15,000 psi, E = 30 x106 psi, v = 0.3. Determine the value of the stress az. Q2. A typical displacement field is described by u = (x3 + 4y2 —...

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In a plane strain problem, we have: ax = 30,000 psi, ay = —15,000 psi, E = 30 x106 psi, v = 0.3. Determine the value of the stress az.
Q2. A typical displacement field is described by u = (x3 + 4y2 — 16xy)10-6 v = (y2 — 5x + 8y)10-4 Determine ez,ey, yzy at the point P (1.0).
(1 mark)
(2 mark)
Q3. A rectangular region ABCD undergoes deformation to the state A'B'C'D' , as shown in Figure 1 below.
D D' „„
C C'
•

005_9uazo-0n5hbbhg.pdf

Answered Same DayDec 26, 2021

Answer To: In a plane strain problem, we have: ax = 30,000 psi, ay = —15,000 psi, E = 30 x106 psi, v = 0.3....

David answered on Dec 26 2021

118 Votes

Solution: 1
Strain in x and y direction is given as:

( )

* ( )+

( )

*( ) ( )+
σz is given by the formula:

*

( )+

[

( )
( ( ))]
Solution: 2
Given displacement field:
( )
( )

( )
At point P (1, 0):
( ( )
)
And

( )
At point P (1, 0):
( )

And

( )
( )
At point P (1, 0):
( )
( )
Solution: 3
(a) Displacement field is given as:
(b)

...

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In a plane strain problem, we have: ax = 30,000 psi, ay = —15,000 psi, E = 30 x106 psi, v = 0.3. Determine the value of the stress az. Q2. A typical displacement field is described by u = (x3 + 4y2 —...

Answer To: In a plane strain problem, we have: ax = 30,000 psi, ay = —15,000 psi, E = 30 x106 psi, v = 0.3....

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