Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 8, Problem 8.13P
To determine
Compare the vertical stress increase at the given locations by using Boussinesq and Westergaard solutions.
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) For the given stress condition find:
1. Principal stresses and their orientation.
2. The stresses on plane A-A.
100 kPa
500 kPa
600
300 kPa
100 kPa
correct answer with two decimal places
At a point P, the rectangular stress components are:
x = 1, y = -2,0 = 4, y = 2, T = -3 and T = 1
yy
all in units of kPa. Find principal stresses and check for invariance.
Chapter 8 Solutions
Principles of Foundation Engineering (MindTap Course List)
Ch. 8 - Four point loads with the same magnitude of P are...Ch. 8 - A point load of 500 kN is applied at the ground...Ch. 8 - A point load of 1000 kN is applied at the ground...Ch. 8 - A 10 ft diameter flexible loaded area is subjected...Ch. 8 - For the flexible loaded area in Problem 8.4, plot...Ch. 8 - Two line loads q1 and q2 of infinite lengths are...Ch. 8 - A 9 ft wide and infinitely long flexible strip...Ch. 8 - Figure P8.8 shows a flexible rectangular raft that...Ch. 8 - Prob. 8.9PCh. 8 - Prob. 8.10P
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- 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)...arrow_forwardThe normal and shear stresses acting on one plane passing through a point in a soil mass are 120 psi compression and 25 psi, respectively. On an orthogonal plane the stresses are 40 psi compression and 25 psi. (a) Draw the Mohr's circle for this stress condition. (b) What are the principal stresses?arrow_forwardQuestion (1) A steel rod of diameter D = 50 mm has a tensile yield strength of 345 MPa supports an axial load P = 50 kN and a vertical load R = 2 kN acting at the end of an 0.8 m long arm. Calculate the strength factor of safety using (a) the maximum normal stress theory, (b) the maximum shear stress theory and (c) the distortion energy theory. y 0.8 m Question (2)arrow_forward
- The extruded plastic shape has dimensions of D = 22 mm, d = 20 mm, a = 92 mm, and t = 7 mm. (a) Determine the magnitude of the horizontal shear stress at point. A for a shear force of V = 330 N. (b) If the allowable shear stress for the plastic material is 500 kPa, what is the magnitude of the maximum shear force V that can be applied to the extrusion? D d Answer: (a) TA = (b) V= kPa Narrow_forward(A point load of 100 kN is acting at the ground surface. Find: A. Value of the increase in vertical stress 2meters below the ground. B. Value of the increase in vertical stress 4meters below the groundarrow_forwardFind principal stresses and max in plane shear stresses ...using stress transformation equationarrow_forward
- Wo dgharrow_forwardThe extruded plastic shape has dimensions of D = 24 mm, d = 20 mm, a = 99 mm, and t = 5 mm. (a) Determine the magnitude of the horizontal shear stress at point A for a shear force of V = 305 N. (b) If the allowable shear stress for the plastic material is 1000 kPa, what is the magnitude of the maximum shear force ✔ that can be applied to the extrusion? HO D d Answer: (a) TA= (b)V= A dik a kPa Narrow_forwardIn a zone with a constant stress gradient of a mechanical- structural element, the stresses acting in the "x" direction are Ox = 5900 psi and Txy = 1950 psi. Determine the allowable values if the maximum shear stress is limited to Tmax = 2500 psi. for Tyarrow_forward
- A cube of material (E = 15,000 psi, v = 0.25) of side length 2" is shown in the x, y plane. Takex positive to the right and y positive up. Determine the change in length of the cube in the three coordinate directions if 4 %3D a) The normal stress in the z direction is zero (Ans: 0.0317" in x direction) b) The normal stress in the z direction is 300 psi compression (Ans: 0.0416" in x direction) 150 psi 100 psi + 200 psiarrow_forward3. Please answer parts a, b, c, and darrow_forwardQ.10 Athin cylindrical tube closed at ends is subjected to internal pressure. A torque is also applied to the tube. The principal stresses p, and p developed are 80.0 units and 20.0 units respectively. If the yield stress is 240 units, then what is the factor of safety according to maximum shear stress theory?arrow_forward
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