If the principal stresses at point in a strained body are p1 and p2 ( p1 > p2), then th e resu lta n t stress on a plane carrying the maximum shear stress is equal to
Plane of maximum shear is at 45°
If ∈1 and ∈2 ( ∈1 > ∈2) are the m axim um and minimum strains in the neighbourhood of a point in a stressed material of Young’s modulus E and Poisson’s ratio p, then the maximum principal stress will be given by
On the element shown below in the figure, the stress in MPa are
The radius of Mohr’s circle V and principal stresses σ1, and σ2 are in (MPa) respectively
⇒ σ1,2 = 70 ± 50
∴ σ1 = 120 MPa
and σ2 = 20 MPa
and, radius of Mohr's circle
The radius of Mohr’s circle gives the value of
A body is subjected to two normal strains of magnitude ∈x = 0.003 and ∈y = 0.002. The shearing strain on a plane inclined at 30° with ∈x is
= (∈x - ∈y) sin2θ
= (0.003 - 0.002)sin60°
= √3/2 x 10-3
Which one of the following Mohr’s circles represents the state of pure shear?
A bar is subjected to a uniaxial tensile stress ‘σ’. The tangential stress on a plane inclined at θ to the bar would be
Normal sress = σ cos2 θ
Tangential Stress = σ sin θ cos θ
= σ sin 2θ/2
Which of the following formulae is used to calculate tangential stress, when a member is subjected to stress in mutually perpendicular axis and accompanied by shear stress?
Normal stresses of equal magnitude a, but of opposite signs, act at a point of a strained material in perpendicular direction. What is the magnitude of the stress on a plane inclined at 45° to the applied stresses?
Here, σx = σy = -σ and θ = 45°
∴ σθ = 0
Two planes xyand yz are passing through a point in a strained material. The normal and shear stresses on xy plane are +80 MPa, -30 MPa respectively and normal and shear stresses on plane yz are +30 MPa and +30 MPa respectively. What is the angle between the planes?