Principles Of Foundation Engineering 9e
9th Edition
ISBN: 9781337705035
Author: Das, Braja M.
Publisher: Cengage,
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Chapter 3, Problem 3.21P
To determine
Show that the value of K for the rectangular vane according to first principles is
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G=5
N=27
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G=5
N=35
5. A thin rectangular plate with dimensions 3 cm × 4 cm is acted upon by a stress
distribution which results in the uniform strains
&₁ = 0.0025, &, = 0.0050, &₂ = 0, Y₁ =0.001875, Yx=Y₁ = 0
yz
as shown in the following figure. Determine the change in length of diagonal AB.
▲ y
A
4 cm
B
3 cm
X
Chapter 3 Solutions
Principles Of Foundation Engineering 9e
Ch. 3 - Prob. 3.1PCh. 3 - Prob. 3.2PCh. 3 - Prob. 3.3PCh. 3 - Refer to Figure P3.3. Use Eqs. (3.10) and (3.11)...Ch. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - Prob. 3.10P
Ch. 3 - Prob. 3.11PCh. 3 - Prob. 3.12PCh. 3 - Prob. 3.13PCh. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Prob. 3.16PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Prob. 3.19PCh. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Prob. 3.23PCh. 3 - Prob. 3.24PCh. 3 - Prob. 3.25PCh. 3 - Prob. 3.26PCh. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Prob. 3.29PCh. 3 - Prob. 3.30PCh. 3 - Prob. 3.31P
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- 4. A beam of rectangular cross section 40 mm by 100 mm is carrying a bending moment of M = 21 kN.m about its strong axis. Determine the residual stresses following removal of the bending moment (show the residual stress distribution). Consider oy = 240 MPa, and E = 200 GPa. Solution: 100 mm 40 mmarrow_forward90 MPa For the shown 2D stress element, sketch Mohr circle then, use Mohr circle to find the normal and shear stresses at a point on the indicated inclined plane. 105 MPa 140° 30 MPa Verify your results (ơn, Tnt) using stress transformation eqns. Illustrate the following on Mohr circle: center of Mohr Circle, reference point A, principle stresses, max in-plane shear stress, inclined plane, orientation of inclined plane) :)arrow_forward7arrow_forward
- Vane shear tests were conducted in the clay layer. The vane dimensions were 63.5 mm (D) x 127 mm (H). For the test at A, the torque required to cause failure was 0.051 Nm. For the clay, given: liquid limit = 46 and plastic limit = 21. (a) Estimate the undrained cohesion of the clay for use in the design by using Bjerrum's correction. A = 1.7 – 0.54 log[PI(%)] (b) Estimate the overconsolidation ratio of the clay. Use Eqations below. Cu(field) B- σο B = 22[PI(%)]-048 OCR %3| Dry sand y = 16.5 kN/m³ ·1.5 m Groundwater table Sand 1.5 m Ysat = 19 kN/m³ N60 5 :1.5 m • 8 Clay = 16.8 kN/m³ 1.5 m Ysat * A • 8 1.5 m • 9 1.5 m 10 Sandarrow_forwardA soil element is shown in Figure 10.38. Using the pole meathod, determine: a. Maximum and minimum principle stresses. b. Normal and shear stresses on plane AB Solve this problem three ways: first via equations, second via Mohr’s circle and the two-theta method, and third via Mohr’s circle and the origin of planes. All methods should give the same answer.arrow_forwardSolve using VIRTUAL WORK METHODarrow_forward
- Q .A beam has a force of 25kN through the shear centre. For the system: a) determine the second moment of area about the x - x plane and b) determine the shear stress distribution along the y - y plane for positions A to F, c) plot the shear stress distribution on a suitable graph, labelling the principal values cross-section as shown in Figure Q. The beam is subjected to a vertical shearing Centre of Gravity X y 30 mm 180 mm y A B -C.-. -E- 10mm x 5mm Figure Q: Beam cross-section 30 mm 10 mmarrow_forwardDraw the mohrs circle (as shown in reference photo) for the followingarrow_forwardTwo identical loads distributed over circular areas are applied on an elastic two-layer system, as shown in the figure below. D E = 150,000 psi v = 0.5 h E = 30,000 psi v = 0.5 D/2 the dimensions and the magnitude of the surface stresses are: r= 6.5 in D= 16.25 in g = 75 psi h = 6.5 in Determine: 1. The total vertical deflection at point A 2. The total vertical deflection at point B 3. The total vertical deflection at point Carrow_forward
- Introduction to earthquake engineeringarrow_forwardA 6-kN-m torque is applied to a hollow shaft having the cross section shown. Neglecting the effect of stress concentrations, determine the shearing stress at points a and b. 100 mm 50 mm 8 mm b 5 mm 5 mm The shearing stresses at points a and bare MPa and MPa, respectively.arrow_forwardwww Problem 2 For the stress conditions given, determine the Maximum Shear Stress (Tmax) value from the Mohr Circle. 18 psi 26.5° 16 psi 20 45⁰ 30arrow_forward
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