Problem 7 A vertical pipe column with an outside diameter of 325 mm and a wall thickness of 10 mm supports the loads shown. (a) Draw a stress element at point K. (b) Determine the magnitudes of the principal stresses at point K. 9 kN 2.5 m 50 kN 1.5 m 4 m H K 17 kN 6 m
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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.Repeat the previous problem using ? = 50° and stresses on the rotated element: sy1= 70 MPa, ??y1=-82 MPa, and tx1y1=-35 MPa.A fire extinguisher tank is designed for an internal pressure of 825 psi. The tank has an outer diameter of 4.5 in. and thickness of O.OS in. Calculate the longitudinal stress, the circumferential stress, and the maximum shear stresses (out-of-plane and in-plane) at the outer surface of the tank.
- 3. A circular steel cylinder of external diameter 0.2 m and internal diameter 0.1 m is shrunk onto a circular aluminium alloy cylinder of external diameter 0.1 m and internal diameter 0.05 m, where the dimensions are nominal. Determine the radial and hoop stresses at the bores and outside surfaces, such that when there is an internal pressure (retained by end caps) of 300 MPa, the maximum hoop stress in the inner cylinder is 150 MPa.Problem 2: 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, 02 and, 03) 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 T J.C₁ P r M T Di dA simple pin-connected truss is loaded and supported as shown. All members of the truss are aluminum pipes that have an outside diameter of 70 mm and a wall thickness of 3 mm. Determine the normal stress in each truss member. Assume P-12 kN, Q - 17 kN, a- 1.4 m, b -3.6 m, and c-1.3 m. Use positive for tensile stress and negative for compressive stress. Answers: OAB- JAC- OBC- i B (3) b MPa. MPa. MPa.
- 7A simplified model of a basketball hoop is shown. During a basket dunk a player hangs from the rim applying a force of 320 lbs including a dynamic load factor. The stand is a square tube with 5 inches outside length and 0.25 inches thickness. The distance from the edge of the rim to the middle of the square tube is 4 ft. Assuming the model is rigid, the normal stress at point A is most closely equal to: a. 1284 psi b. 1248 psi c. 1212 psi d. 36 psi APlease find the solution from the book or solve it like if it was a book solution. Do Not ShortCut the Static, V(x), and M(x) Analyses
- 5. A cylindrical pressure vessel has an inner diameter of 4 ft. If the yield strength for the tank material is 36 ksi and the internal pressure is 150 psi, what is the factor of safety if the wall is 0.35 inch thick? 6. For the state of stress shown, draw a Mohr's circle (mark two stress points and average normal stress value) Find the two primary principal stresses (oa and Ob) Find 01, 02, and 03 . Find maximum shear stress value. Vrms. From faliure critera, find factor safety using Tresca and Von Mises methods. (consider Oy = 36000 psi) 1500 psi 200 psi 2500 psi3) A 25 mm solid round shaft is supported by self-aligning bearings at A and B (the bearings do not support axial loads). Two chain sprockets are attached to the shaft as shown. a. Find the force, F, on the 125 mm diameter sprockets. b. Construct the V-M-N-T diagrams for the shaft. c. Determine the shaft location with the most severe state of stress. d. Sketch the Mohr's circle and find the principal stresses at that location. A 125 mm dia. 50-mm dia. 75 mm 25mm dia. 5000 N 150 mm 75 mmDetermine the state of stress at point A of the rectangular post shown loaded with concentrated forces directed along the y axis equal to 75kN and along the x axis equal to 15kN. 1)Determine the total normal stress along the x and y axes at point A (include if tensile or compressive in your final solutions) 75 kN 50 mm 200 mm- 150 mm OAx= 15 kN OAy= 2) Draw the state of stress of point A 800 mm A 50 mm