The magnitude of the shear stress
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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. aA state of stress at a point A is given by σx = 25 MPa, σy = 122 MPa, and τxy = 60 MPa. Determine the equivalent state of stress on an element at the point which represents the principal stresses.A stress element in a rock mass making up a slope experiences a 2D stress as follows: σx = 8 MPa, σy = 4 MPa , tauxy = 3 MPa a. Draw the Mohr circle. On Mohr's circle, mark the location of the x and y planes, mark the angle of rotation θ from the x plane to the σ₁,σ3,and taumax plane. Prove that the angle of rotation of the Mohr circle is 2 times the angle of rotation of the element. b. Write down the coordinates of the center of Mohr's circle and calculate its radius.
- The state of stress at a point can be described by σx = 40 MPa , σy = 64 MPa , and τxy = 18 MPa . A second coordinate system is rotated by θ = 25 ∘ A) What is the normal stress in the direction of the x′-axis? B) What is the shear stress in the y′-direction for the faces with a normal in the x′-direction? C) What is the normal stress in the direction of the y′-axis?A seamless cylinder of storage capacity of 0.03m3 is subjected to an internal pressure of 21 MPa. The allowable stress in the material of cylinder is 350N/mm².Determine the length of the cylinder if it is twice the diameter of the cylinder.8mm A seamless cylinder of storage capacity of 0.03mᵌis subjected to an internal pressure of 21MPa. The ultimate strength of material of cylinder is 350N/mm².Determine the length of the cylinder if it is twice the diameter of the cylinder.540mmIn 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?
- At a point in a strained material the principal stresses are 200 N/mm2 (tensile) and 120 N/mm2 (compressive). Determine the normal stress, shear stress and resultant stress on a plane inclined at 30° to the axis of major principal stress. Also determine the maximum shear stress at the point.a-Shows the state of stress (three dimensional) at a point Q within a given stressed body. b- Briefly describe the three normal stress components and the six shear stress components of the stress at point Q.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.
- Indicate the points on the stress-strain diagram which represent the proportional limit and the ultimate stress.The principal stresses at a point across two mutually perpendicular planes are 70 MN/m2 tension and 50 MN/m2 tension respectively. The shear stress across these planes is 30 MN/m? (Counter clockwise). Determine the magnitude of the normal, tangential, the resultant stress, and inclination of resultant stress on a plane inclined at 30° to the plane of greater principal stress. And also verify the answer by drawing the Mohr's circle.On what does the magnitude of the stress components depend at a point?