If an element of a stressed body is in a state of pure shear with a magnitude of

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Question
If an element of a stressed body is in a state of pure shear with a magnitude of 80 N/mm² , the magnitude of maximum principal stress at that location is
Options
A. 80 N/mm²
B. 113.14 N/mm²
C. 120 N/mm²
D. 56.57 N/mm²

Correct Answer

80 N/mm²

GATE Exam Questions problems

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1. The following two statements are made with reference to a simply supported under-reinforced RCC beam :
1. Failure takes place by crushing of concrete before the steel has yieled.
2. The neutral axis moves up as the load is increased.
With reference to the above statements, which of the following applies?
Options
A. Both the statements are false.
B. I is true but II is false.
C. Both the statements are true.
D. I is false but II is true.

2. At highway stretches where the required overtaking sight distance cannot be provided, it is necessary to incorporate :
Options
A. at least twice the stopping sight distance
B. half the required overtaking sight distance
C. one-third the required overtaking sight distance
D. three times the stopping sight distance

3. The slope of the elastic curve at the free end of a cantilever beam of span L, and with fluxural rigidity EI, subjected to uniformly distributed load of intensity w is
Options
A. wL³/6EI
B. wL³/3EI
C. wL⁴/8EI
D. wL³/2EI

4. Three reservoirs A, B and C are interconnected by pipes as shown in the below figure Water surface elevations in the reservoirs and the Piezometric Head at the junction J are indicated in the below figure.

Discharges Q₁, Q₂ and Q₃ are related as
Options
A. Q₁ + Q₂ = Q₃
B. Q₁ = Q₂ + Q₃
C. Q₂ = Q₁ + Q₃
D. Q₁ + Q₂ + Q₃ = 0

6. The members EJ and IJ of steel truss shown in the figure below are subjected to a temperature rise of 30� C. The coefficient of thermal expansion of steel is 0.000012 per �C per unit length. The displacement (mm) of joint E relative to joint H along the direction HE of the truss, is
Options
A. 0.255
B. 0.589
C. 0.764
D. 1.026

7. A single bay single storey portal frame has hinged left support and a fixed right support. It is loaded with uniformly distributed load on the beam. Which one of the following statements is true with regard to the deformation of the frame?
Options
A. It would sway to the left side
B. It would sway to the right side
C. It would not sway at all
D. None of the above

8. In a drained triaixal compression test, a saturated specimen of a cohesionless sand fails under a deviatoric stress of 3 kgf/cm² when the cell pressure is 1 kgf/cm² . The effective angle of shearing resistance of sand is about
Options
A. 37�
B. 45�
C. 53�
D. 20�

10. An important purpose of prime coats is to:
Options
A. promote the bond between the base and the wearing courses
B. promote the adhesion between an existing wearing surface and a subsequent wearing surface
C. promote the bond between the sub-base cause and the sub-grade
D. increase the stability of the sub-grade

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