Calculate the average normal stress and determine the radius of Mohr's Circle. Then draw Mohr's Circle for this state of stress. Answer: Oavg MPa R = i MPa
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- -26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and compressive stress a. If it is known that the normal stress along the diagonal t—t is ??t= -6.57 kPa, find stress ??y on element A. aCan you help me with this problem, please: At a material point in plane stress it is known that the hydrostatic component of the stress is 15 ksi and that the second stress invariant is 30 ksi. Determine the magnitude of the principal stresses and the maximum shear stress.Direct stresses of 160N/mm tensile and 120 N/mm compressive exist on two perpendicular planes at a certain point in a body. They are also accompanied by shear stresses on the planes. The greatest principal stress at the point due to these is 200 N/mm?. a) What must be the magnitude of the shearing stresses on the two planes? b) What will be the maximum shearing stress at the point?
- A body is subjected to a direct tensile stress of 300 MPa in one plane accompained by a simple shear stress of 200 MPa. Determine maximum normal stress on the plane.Considering the original state of stress as shown in figure below and recalling the already developed equations for normal and shear stress at an angle Ɵ c.c.w from x-axis, mathematically prove that the planes of maximum in-plane shear stress are inclined at 45o to the principal planes.Explain the method of representing the combination of normal and shear stresses acting on any plane through an incremental element on shear stress–normal stress coordinates.
- A bar of rectangular section shown in is subjected to stresses σx, σy and σz in x, y and z directions respectively. Show that if sum of these stresses is zero, there is no change in volume of the bar.At a certain section in a material under stress, direct stresses of 45 MN/m2 tensile and 75 MN/m2 tensile act on perpendicular planes together with a shear stress τ acting on these planes. If the maximum stress in the material is limited to 150 MN/m2 tensile, determine the value of τ.In a plane stress condition, the components of stress at a point are sigma_{x}= 20MPa , sigma_{y} = 80MPa , Ty = 40 MPa . What is the maximum shear stress (in MPa) at the point?
- For the state of plane stress shown in Fig. determine (a) the princi-pal planes, (b) the principal stresses, (c) the maximum shearing stress and the corresponding normal stress.Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 12 ksi, Sy = 17 ksi, and Sxy = 18 ksi.(a) Draw Mohr’s circle for this state of stress.(b) Determine the principal stresses (σp1>σp2σp1>σp2) and the maximum in-plane shear stress τmaxτmax acting at the point.(c) Find the smallest rotation angle θpθp (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)Determine the principal planes and the principal stresses for the state of plane stress resulting from the superposition of the two states of stress shown.