Principles of Foundation Engineering, SI Edition
8th Edition
ISBN: 9781305723351
Author: Braja M. Das
Publisher: Cengage Learning US
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The copper pipe shown in the figure has an outside diameter of 3.875 in. and a wall thickness of 0.279 in. The pipe is subjected to a
uniformly distributed torque of t = 70 lb-ft/ft along its entire length. Using a = 2.25 ft, b=4.25 ft, and c = 8.5 ft, calculate
(a) the shear stress at A on the outer surface of the pipe.
(b) the shear stress at B on the outer surface of the pipe.
Answers:
(a) TA=
(b) Tg =
a
i
i
b
psi
psi
The copper pipe shown in the figure has an outside diameter of 3.625 in. and a wall thickness of 0.208 in. The pipe is subjected to a
uniformly distributed torque of t = 82 lb-ft/ft along its entire length. Using a = 2.50 ft, b = 6.00 ft, and c = 13 ft, calculate
(a) the shear stress at A on the outer surface of the pipe.
(b) the shear stress at B on the outer surface of the pipe.
a
b
2.4 in.
A hollow cylindrical shaft was designed to have a uniform wall
thickness of 0.1 in. Defective fabrication, however, resulted in the
shaft having the cross section shown. Knowing that a 17-kip-in.
torque is applied to the shaft, determine the shearing stresses at
points a and b.
0.08 in.
1.1 in.
0.12 in.
The shearing stress at point a is
The shearing stress at point b is
Check my work
ksi.
ksi.
5
Chapter 12 Solutions
Principles of Foundation Engineering, SI Edition
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- The copper pipe shown in the figure has an outside diameter of 4.000 in. and a wall thickness of 0.363 in. The pipe is subjected to a uniformly distributed torque of t = 80 lb-ft/ft along its entire length. Using a = 2.00 ft, b = 4.00 ft, and c = 7.5 ft, calculate (a) the shear stress at A on the outer surface of the pipe. (b) the shear stress at B on the outer surface of the pipe. a b Answers: (а) ТА i psi (b) Тв- i psiarrow_forwardA plate with a 1.5-cm diameter circular hole is exerted with the bending moment M = 40 N-m. The plate has a rectangular cross section with the base of 3.0 cm and thickness of 1.5 cm. The plate is made of a ductile material whose Sy is 400 MPa. Determine the safety factor of the plate. 1. Stress at the critical point without stress concentration 2. Stress concentration factor at the critical point 3. Safety factor at the critical point Kf 2.5 2 1.5 -1.35 0 .03m b = 3.00 cm 0.1 0.2 .00750 0.75cm 0.3 d/b .015m d = Ø1.5 cm .015m h = 1.5 cm M 0.4 0.5 d/h = 0.25 d/h = 0.5 d/h = 1 |d/h = 2 0.6 Figure 1: Stress concentration factor of plate with circular hole + 12arrow_forwardThe copper pipe shown in the figure has an outside diameter of 3.000 in. and a wall thickness of 0.383 in. The pipe is subjected to a uniformly distributed torque of t = 87 lb-ft/ft along its entire length. Using a = 2.00 ft, b = 4.50 ft, and c = 7.75 ft, calculate (a) the shear stress at A on the outer surface of the pipe. (b) the shear stress at B on the outer surface of the pipe. Answers: ccccccccc.com (a) TA= a (b) TB = i b i psi psiarrow_forward
- A 20 mm diameter hole is drilled on the centerline of a steel strap 50 mm wide by 5 mm thick, subjected to an axial pull P = 10 kN. Determine the approximate maximum unit stress adjacent to the hole. Hint: This is a stress concentration question. The first step is to calculate the K value. Select one: O a. 0.1 kN/mm? b. 0.0733 kN/mm? c. 0.146 kN/mm2arrow_forwardA homogenous rod of constant cross-section carries an axial load P as shown in the figure. Initially, there is a gap 150 KN of 0.5 mm between the end of the rod and the vertical wall to 1.0 m 2.0 m on the right. ASsuming that the walls are rigid, determine the stress on segment BC of the rod Steel A= 600 mm? E= 200 GPaarrow_forwardRequired information The tube shown has a uniform wall thickness of 12 mm. Take P = 19 kN. D HP E 28 KN 28 KN Determine the stress at points A and B. 16.11 MPa. The stress at point A is The stress at point B is MPa. 125 mm 75 mmarrow_forward
- The copper pipe shown in the figure has an outside diameter of 3.625 in. and a wall thickness of 0.373 in. The pipe is subjected to a uniformly distributed torque oft= 63lb-ft/ft along its entire length. Using a = 2.25 ft, b = 4.00 ft, and c= 8 ft, calculate (a) the shear stress at A on the outer surface of the pipe. (b) the shear stress at B on the outer surface of the pipe.arrow_forwardA hydraulic punch press is used to punch a slot in a 0.70-in.-thick plate, as illustrated in the figure. If the plate shears at a stress of 30 ksi, determine the minimum force P required to punch the slot. Punch Answer: P = Slug Plate +0.75 in. 2.00 in. Plan view of slug kips +arrow_forwardProblem 3 The tube shown below has a uniform wall thickness of 12 mm. For the loading given, determine the stress at points A and B. D Н 14 kN G 125 mm 28 kN E F 28 kN 75 mmarrow_forward
- Consider a crack arbitrarily oriented with respect to a stress field, as shown below: буу I. 0 = 0 oyx X 0₂ 0 xy 0 xx The stress state in the structure's coordinate system is d c [%] b mode II stress intensity factor in MPa/m? The crack length is 2a, where a = 8 mm, and its orientation is 0 = 2.52 rad. MPa, where d = 21, b = 12, and c = 3. What is the Note: Stress intensity factor is positive and thus you have to take the absolute value of relevant shear stress.arrow_forwardIn the following structure, bolt B has a diameter of 1.75” and bolt A has a diameter of 2.50”. Bar BC is circular and has a diameter of 1.50”. Determine:a. The shear stress at point A.b. The shear stress at point B.c. The axial stress in bar BC.arrow_forwardA thin-walled diving sphere (radius r = 500 mm, wall thickness t = 12.5 mm) is submerged 1000 m under the water surface (pressure pW = 10 MPa). Compute the stresses in the wall of the sphere Pw water tarrow_forward
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