Define The Principle Planes And Principal Stress 6k5v59

1. Define the principle planes and principal stress . explain their uses. 2. Explain the procedure for there constructing Mohr circle for an element acted upon by 2 tensile stress and shear stresses. 3. Derive the expression for normal and tangential stress on a plane inclined at an angle of ‘0’ to the plane of stress system and shown that the sum of normal stress in any two mutually perpendicular direction is constant 4. Explain in brief ‘plane stresses’ 5. Derive an expression for normal and tangential stresses on a oblique plane for an element subjected to a general stress system subjected to shear and normal stresses 6. What is Mohr’s circle ? explain the construction and uses of it. 7. The state of stress in two dimensionally stresses body as shown in fig. determine the principal planes, principal stresses, maximum shear stress and there planes i) At a certain point in a strained material the values of normal stresses across two planes at right angles to each other are 80Mpa,and 32Mpa both tensile and there is shear stress of 32Mpa, clockwise on the plane carrying 80Mpa stress, as shown in fig. Determine Maximum and minimum normal stresses and locate there planes ii) Maximum shear stress and specify its plane. 8. For the state of stress shown in the figure below determine i) principal stresses and principal planes ii) maximum inplane shear stress and plane on which it acts iii) also find the normal stress on the maximum shear plane iv) sketch the element aligned with planes of principal stress and plane of maximum shear . also draw Mohr’s circle above stress state. 9. The state of stress at a point in a strained material is as shown in figure. Determine the magnitude of maximum shear stress and its direction. Incdicateall the planes by sketches 10.For the state of plane shown in dig, determine i) principal planes ii) principal stresses iii) maximum shear stress and there planes iv) normal and shear stress acting on a plane DE v) resultant stress and angle of obliquity