a shear stress T =4 MPa also acts on it. According to Von- mises failure criteria, Von- mises stress is MPa.
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- A 9 ft wide and infinitely long flexible strip load of 800 lb/ft2 is placed on an elastic medium as shown in Figure P8.7. Find the vertical stress increase at points A, B, and C located 3 ft below the surface.In the discussion of Von-Mises criterion, how different is the description of J2 when compared to the Von-Mises stress?If the hoop stress on a cylindrical pressure vessel with diameter d, thickness t and gauge pressure p is 58.54 MPa, then the longitudinal stress must be equal to (in MPa)...
- A steel bar 50 mm diameter and 1 m long just fits within a rigid hole carries a compressive load of 300 kN. Consider E= 200 GPa for steel and Poissons ratio υ = 1/4. Determine: (a.)Stress developed along lateral direction in MPa. (b.) Stress developed along lateral direction in MPa if the rigid hole has a diameter of 51 mm.refer to the figure due to application of line load q1 and q2 . the vertical stress increase at point a is 42 kn/m2 determine the magnitude of qThe stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 17 MPa, Sy = 29 MPa, and Sxy = 26 MPa. Assume β=tan^−1(b/a)=23.2∘, a = 7, and b = 3. Using the equilibrium equation approach, determine the normal and shear stresses σ (positive if tensile, negative if compressive) and ττ (magnitude only) at this point on the inclined plane shown.
- state true/false. and if false justify For horizontal flow of a liquid in a rectangular duct between parallel plates, the shear stress varies from zero at the plates to a maximum at the centerline.The following data were obtained in a direct shear test. Normal pressure =20kN/m 2 , shear stress on the failure plane =16kN/m 2 . Angle of internal friction =20 ∘ , cohesion =8kN/m2. Represent the data by Mohr's Circle (by plotting) and show the principal stresses and the direction of the principal planes on the plotThe rectangular bar shown in the figure is subjected to a uniformly distributed axial loading of w = 11 kN/m and a concentrated force of P = 14 kN at B. Determine the magnitude of the maximum normal stress in the bar and its location x. Assume a = 0.9 m, b = 1.1 m, c = 20 mm, and d = 35 mm.
- 2. The state plane stress in a mass of dense cohesionless sand (c=0) is described by the following stresses: Normal stress on horizontal plane = 100 kPa Normal stress on vertical plane = 50 kPa Shear stress on horizontal and vertical planes = ± 30 kPa Determine by means of the Mohr circle the magnitude and direction of the principal stresses. Is this state of stress safe against failure assuming φ= 30o?What would be the change ineffective stress at point A if the water table rises to 2m above ground level? see figure below a. lower b. higher c. no change in effective stress?According to the elastic theory, the vertical stress induced by a point load of magnitude Q on the surface of a semi-infinite soil mass can be estimated by the expression. A point load Q=1500 kN is applied at the ground surface. Evaluate the stress in the soil caused by the point load at a depth of 2.5m directly below the load in kPa. Evaluate the stress at a depth of 2.5m and a horizontal distance of 3m from the point load.