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.

Required 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 mm

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.

A 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 + 12

Problem 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 mm

A 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 +

A 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 t

Problem 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 H 14 kN 125 mm 28 kN E F 28 kN 75 mm

1. If P=100kN, and the plate thickness is t=8 mm, determine the maximum axial stress in the structural component shown below.