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- The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.‘7.3-11 The stresses on an element are sx= -300 psi and sy= 600 psi. Find the maximum shear stresses on the element and show them on a sketch of a properly oriented clement.-18 through 7.4-25 An clement in plane stress is subjected to stresses a,, ay., and axy. (see figure). Using Mohr’s circle, determine (a) the principal stresses and (b) the maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements.
- The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.An element on the top surface of the fuel tanker in Problem 7.2-1 is in biaxial .is in the and is subjected to stresses a, = 6250 psi and a. = -1750 psi, as shown in the figure. Using Mohr s circle, determine the following: (a) The stresses acting on an element oriented at a counterclockwise angle ? = 550 from the x axis. (b) The maximum shear stresses and associated norm al stresses. Show all results on sketches of properly oriented elements.For the shaft shown below, determine the normal and shear stresses acting on the element located at point A, including stress concentrations. Then draw the stress element at A with the applied stresses and determine the three principal stress (0₁, 2 and, σ3) using Mohr's circle. r = 0.0042 m, d = 0.03 m, D = 0.033 m, T = 250 Nm P = 1500 N, M = 300 Nm, A M M DEHRƏC T d T P P r
- Forces of Px = 580 lb and Py = 220 lb act on the teeth ofthe gear shown in Figure 1. The gear has a radius of R =6 in., and the solid gear shaft has a diameter of 2.0 in.Using a = 5 in., determine the normal and shear stressesat (a) point H and (b) point K. Show the orientation ofthese stresses on an appropriate sketch.A machine component is fabricated from a bent tube as shown below. One part of the tube lies along the z- axis, and the other part is parallel to the y-axis. The outside diameter of the tube is do 122 mm and its inside diameter is dį = 108 mm. A force F = 8.5 kN acts along a line from point to point D. Determine the principal stresses and the absolute maximum shear stresses at points A and B. Note that point A lies along the y-axis and point Blies along the x-axis. Given: • L₁ 258 mm L₂ = 118 mm • L -281 mm LA-602 mm 4 P (α₂₁)A- (₁2) A (Tmax) A L2 Z ²1 00 B L₁7 number (rtol=0,01, atol=1e-05) number (rtol-0.01, atol-1e-05) number (rtol-0.01 atol-le-057 F 0 MPA LA D L3 y 0 06. The figure below shows the geometry and loading of segment of a crankshaft. The diameter of the upper shaft is 20mm. Determine the principal stresses and the maximum shear stress at point A, which is located on the surface of the upper shaft at the zo axis. b-80 mm Xo bz = 120 mm by- 40 mm P-LOKN
- 1. A loaded bicycle pedal crank is shown below. q 750N (2 direction) 72/ A @ Top 8 yo B@ Top d = 15 mm x₁ = 125 mm x2 = 24 mm y₁ = 60 mm у2=X2 a. Sketch elements A and B and show the stress states. Clearly label the coordinate axes on the elements. Make sure you calculate the normal (o) and shear stresses (T). Do not neglect Tv. Find the principal stresses for each element using Mohr's Circle. b.Two blocks joined by a single pin are subjected to a pulling force of P = 250 Ib. The pin has a diameter of 0.25 in and the dimensions of the blocks with respect to the figure below are listed below. a = 2.42 in b = 1.52 in C = 1.5 in ti = 0.89 in t2 = 1.2 in Note that the dimensions b and c represent the distance from the edge of the block to the middle of the pin t, 1 a Vinter201920-Engr220-001/images/9de8f780-b478-3fb6-91f7-bd1015381538_fafc4bb4-e5d Image is not drawn to scale.State of stress at the wall and the roof of the following circular opening bafore the excavation is (a] = |0 4. Find the induced stress components at point a. R W with respect to the given x-y coordinate systerm, and expresst them in the matrix form. b. Find the total stresses at point W, and give them in matrix form. c. Repeat (a) and (b) for the roof. d. Find the stresses oy, Ciy, and tyy at point A which is located at a radial distance twice the radius of the tunnel.