1.
The state of stress at a point under plane stress condition is:
\( \sigma_{xx} = 40 \, \text{MPa} \) \( \sigma_{yy} = 100 \, \text{MPa} \) \( \tau_{xy} = 40 \, \text{MPa} \) The radius of the Mohr’s circle representing the given state of stress in MPa is___.[GATE-2012]
2.
A rod of length L having uniform cross-sectional area A is subjected to a tensile force P as shown in the figure below. If the Young’s modulus of the material varies linearly from E1 to E2 along the length of the rod, the normal stress developed at the section-S is
3.
A two-dimensional fluid element rotates like a rigid body. At a point within the element, the pressure is 1 unit. Radius of Mohr’s circle, characterizing the state of stress at that point, is
4.
If the principal stresses in a plane stress problem are σ1 = 100 MPa, σ2 = 40 MPa, the magnitude of the maximum shear stress (in MPa) will be
5.
A concentrated load of P acts on a simply supported beam of span L at a distance L/3 from the left support. The bending moment at the point of application of the load is given by
6.
A beam of length L is carrying a uniformly distributed load w per unit length. The flexural rigidity of the beam is EI. The reaction at the simple support at the right end is
[GATE-2016]
7.
The second moment of a circular area about the diameter is given by (D is the diameter).
8.
In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers to
9.
An axial residual compressive stress due to a manufacturing process is present on the outer surface of a rotating shaft subjected to bending. Under a given bending load, the fatigue life of the shaft in the presence of the residual compressive stress is
10.
If σ1 and σ3 are the algebraically largest and smallest principal stresses respectively, the value of the maximum shear stress is
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