Provide the following: Given a soil element is shown below. Determine the following: a. The normal stress on plane AB. b. The shear stress on plane AB.
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- Limiting states 1. The MC describes the state of stress of our point in the field. That is, the MC shows us the values of the two principal stresses and the value of the maximum shear stress that the point is sustaining in the field. Consider a point in a geostatic soil mass. For our point, o'vo = 100 kPa and o'ho = 40 kPa. Take a sheet of paper and draw the Mohr Circle for this point carefully. 2. Now, we know that o'ho is a principal stress because t = 0 on the vertical plane (in the field). Similarly, o'vo is a principal stress because t = 0 on the horizontal plane (in the field). What is the value of t on the plane inclined 45 degrees clockwise from the horizontal? Go ahead and use your drawn MC to find this value. The value should be t = 30 kPa. 3. Note that the value found (t = 30 kPa) is the maximum shear stress that the point is supporting in the field, as it is under o'v = 100 kPa and o'h = 40 kPa. Consider now a situation in which o'h remains at 40 kPa, but o'y grows to 120…Using the principles of Mohr's circles for the soil element shown below, determine thefollowing1. Construct the Mohr's Circle.2. Maximum and minimum principal stresses.3. Normal and shear stresses on the plane ABEB and FG are two planes inside a soil element ABCD as shown in Figure 10.50. Stress conditions on the two planes are Plane EB: EB = 25 kN/m2; EB = +10 kN/m2 Plane FG: FG = 10 kN/m2; FG = 5 kN/m2 (Note: Mohrs circle sign conventions for stresses are used above) Given ; = 25, determine: a. The maximum and minimum principal stresses b. The angle between the planes EB and FG c. The external stresses on planes AB and BC that would cause the above internal stresses on planes EB and FG
- Draw the Mohr's Circle for soil element shown. a. Calculate center and radius of the circle b. Calculate the principal stresses and maximum shear stress using Mohr's circle. c. Calculate angle of the principal planes with respect to x and y axes. 6 ksi 5 ksi 3 ksiQ4: For the soil element shown, compute the stresses acting on the plane inclined by 40° with the horizontal plane then draw Mohr circle and place the stresses with respect to O.P. 20kPa 35kPa 100kPa 300 40°A strip load of q = 900 lb/ft2 is applied over %3D a width, B = 36 ft. Given: x = 21 ft the %3D increase in vertical stress at point A located z= 15 ft below the surface is (Ib/ft2) B q = load per unit area Δα 162 O 152 142 O
- 10-16. A 1 m cube within a mass of stressed soil has a stress of 100 kPa on its top and bottom faces, 50 kPa on one pair of vertical faces, and 30 kPa on the other pair of vertical faces. There is no shear stress on any face. Fill in the numerical values for each stress and angle in the following table. (After Taylor, 1948.) o(kPa) 7(kPa) a Major principal plane: Intermediate principal plane: Minor principal plane: Plane of maximum shearing stress: Plane of maximum obliquity: Note: a is with respect to the horizontal plane.Q.1 The state of stress at a point in a soil mass is eiven below, Determine the principal stresses and also the octahedral normal and shear stresses. 50 30 25 Stress state (soil) 30 40 25 kPa 25 25 08H.W For the stressed soil element shown in Figure, determine: a. Major principal stress (0₁) and minor principal stress (03) b. Angle between horizonal plane (DC) on the soil element and major principal plane c. Normal and shear stresses on the plane AE Use the theoretical(equations) method and the pole method. 100 kN/m² D + A 500 kN/m² B=15 E C 500 kN/m² 100 kN/m² B
- 2. For Blasius solution of laminar boundary layer, prove for the displacement thickness, U 2vx | (1 - f') dn = lim (n -- f) = 1.21678 8*. n-00 8* 1.7208 %3D VRe,I want Normal stress developed in segment AB. A homogeneous bar with a cross-sectional area of 400 mm2 is attached to fixed supports as shown inthe figure. It is subjected to lateral forces P1 = 20 kN and P2 = 50 kN. Determine the normal stressdeveloped in segments AB and BC. Answer: σAB = 80.55 MPaTrue or False: We do not need to worry about removing the effect of water from the soil weights to get the effective stress because we are just going to add it back in by finding the neutral (water) stress. True 4 False