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07.10.24 Stress Transformation

Total questions: 7

Worksheet time: 14mins

Name
Class
Date
1.

How are principal stresses related to the orientation of the planes?

a)
Principal stresses occur only in two-dimensional stress states.
b)
Principal stresses are always equal in all directions.
c)

Principal stresses are the normal stresses acting on the planes, where shear stress is zero.

d)
Principal planes are defined by maximum shear stress.
2.

If the shear stress τxyτyx is zero, the principal stresses are equal to which stresses?

a)

σx and σy.

b)

τxy and τyx

c)

σx and σy.

d)
The principal stresses are equal to the maximum shear stress.
3.

Which of the following conditions would result in zero principal stresses?

a)

A state of hydrostatic stress

b)

A state of uniform loads or no external loads applied.

c)
A state of uniaxial tension.
d)
A state of triaxial compression.
4.

The major and minor principal stresses at a point are 3MPa and -3MPa respectively. The maximum shear stress at the point is

a)

6MPa

b)

0 MPa

c)
-1 MPa
d)
3 MPa
5.

Consider the following statements:

1. On a Principal plane, only normal stress acts

2. On a Principal plane, both normal and shear stresses acts

3. On a Principal plane, only shear stress acts

4. Isotropic state of stress is independent of frame of reference.

Which of the above statements is/are correct?

a)

1,2,4

b)

1 , 4

c)

2,4

d)

1,3,4

6.

If a body is acted upon by a set of mutually perpendicular shear stresses, the diagonal planes are likely to have-

a)
Only normal stress.
b)

tension only

c)

compression only

d)

tension and compression

7.

A thin-walled tube experiences internal pressure causing σx=200 MPa,

σy=50 MPa, and τxy=30 MPa. Calculate average normal stress?

a)

122MPa

b)

125MPa.

c)

120MPa.

d)

130MPa.