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WorksheetsModule 2 Principal and shear stresses
Total questions: 10
Worksheet time: 5mins
The state of stress at a point when completely specified enables one to determine the
1. Maximum shearing stress at the point
2. Stress components on any arbitrary plane containing that point
Which of the above is/are correct?
Only 1
Only 2
Both 1 and 2
Neither 1 not 2
Consider a plane stress case, where σx = 3 Pa, σy = 1 Pa and τxy = 1 Pa. One of the principal directions with respect to x-axis would be
0o
21o
22.5o
23o
In order to have exactly zero tensile stress at one extreme fiber of a solid circular section (dia - D) subjected to combined direct (compressive) and bending stresses, a normal point load is needed to be placed __________.
at a radial distance D/3 from the center
at a radial distance D/6 from the center
beyond a distance of 3D/8 measured towards the core from the periphery
at a radial distance D/4 from the center
For the state of stress shown in the below figure, normal stress acting on the plane of maximum shear stress is -
75 MPa tension
25 MPa compression
75 MPa compression
25 MPa tension
In generalized three - dimensional state of stress, the number of independent stress components is
4
6
8
9
Match the following related to theories of failure
A. Max normal stress theory 1. Vonmises theory
B. Max shear stress theory 2. Haigh’s theory
C. Max strain energy theory 3. Guest and Tresca theory
D. Max distortion energy theory 4. Rankiness theory.
A – 4, B – 3, C – 2, D -1
A – 4, B – 3, C – 1, D - 2
A – 3, B – 4, C – 1, D - 2
A – 3, B – 4, C – 2, D -1
Which one of the following theories gives satisfactory results for brittle materials ?
strain enery theorem
Maximum Principal Stress Theory
Shear stress energy theory
Maximum shear stress theory
Consider the following theories of failure:
A. Maximum stress theory
B. Maximum strain theory
C. Maximum shear stress theory
D. Maximum energy or distortion theory
The most suitable for ductile material is
A & C
C & D
A & B
B & D
An element in a strained body is subjected to only shear stress of intensity 50 MPa tending to rotate the body in a clockwise direction. What is the magnitude of principal stresses?
± 50 MPa
+ 50 MPa, -25 MPa
+ 25 MPa, -50 MPa
± 25 MPa
Principal stresses at a point in a plane stressed element are σx = σy = 500 N/mm2. Normal stress on the plane inclined at 45° to the x-axis will be
Zero
500 N/mm2
1000 N/mm2
707 N/mm2
