Example Two parallel plates are separated by a thin gap of thickness h containing a Bingham plastic. A force per unit area, Tyx, is exerted on the upper plate. Under what conditions does the upper plate move? y 1x (a) Vx(y) h pvx|x Ax Tyxly Tyxly+Ay Ay (b) pVx/x+Ax
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- An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m 10KN 0.8m 0.4m 5KN 0.6m What is the deformation 8Rc in mm? Al 20KN A=800 mm? A=1,200 mm²PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN 0.8m 0.4m B 5KN 0.6m AL 20KN What is the deformation &pE in mm? A=800 mm² A=1,200 mm²The shown plate is 60 mm thick and it is made of Magnesium Am1004-T61. The plate is fitted between the rigid frictionless supports as shown and at T, = 20°C it is stress free. Find the stresses in the x and y directions when the temperature increases to T, = 58°C. %3D 150 mm 150 mm Select one: O x: 0 MPa, y: 42.864 MPa Ox: 22.1 MPa, y: 44.2 MPa Ox: 0 MPa, y: 44.2 MPa Ox: 0 MPa, y: 17.8 MPa O x: 13.2 MPa, y: 44.2 MPa Ox: 0 MPa, y: 67.4 MPa 3:10 PM O G 4) ENG 1/31/2021
- PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN. 0.8m 0.4m B 5KN 0.6m Al 20KN Q2 5) What is the deformation 8, in mm? A=800 mm? A=1,200 mm?An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 1) What is the deformation 8Ag in mm? 10KN 0.8m 0.4m 5KN 0.6m 20KN A=800 mm? A=1,200 mm²2.17 The specimen shown has been cut from a -in.-thick sheet of vinyl (E = 0.45 × 10 psi) and is subjected to a 350-lb tensile load. Determine (a) the total deformation of the specimen, (b) the deformation of its central portion BC. B 0.4 in. C D P = 350 lb P = 350 lb 1 in. 1 in. -1.6 in.---2 in. -1.6 in-
- PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D What is the axial stress o Ag in Pa? 10KN 0.8m 0.4m B 5KN 0.6m 20KN A=800 mm? A=1,200 mm²3. The rigid bar of negligible weight is pinned at O and attached to two vertical rods. Assuming that the rods were initially stress-free, what is the largest load P that can be applied without exceeding stresses of 150 MPa in the steel rod and 70 MPa in the bronze rod? 2 m -- -1.5 m- 1.5 m 10 Steel A=900 mm2 E=200 GPa L=15 m Bronze A=300 mm2 E= 83 GPa L3D2 mQ # 4: An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in Figure. Axial loads are applied at the positions indicated. The value of P is limited to 20 KN in bronze, 72 KN in aluminum and 28 KN in steel Find the area of each section that will not exceed a stress in steel of 280 MPa, in aluminum of 180 MPa, or in bronze of 200 MPa. CLO -2 Steel Aluminum Bronze 2P 4P 2.5 2.0 1.5
- 5. The rigid bar of negligible weight is pinned at O and attached to two vertical rods. Assuming that the rods were initially stress-free, what is the largest load P that can be applied without exceeding stresses of 150 MPa in the steel rod and 70 MPa in the bronze rod? -2 m- -1.5 m- 1.5 m- Bronze A = 300 mm2 E = 83 GPa L=2 m Steel A = 900 mm2 E = 200 GPa L = 1.5 ma) Determine the force P (in kN) required to stretch the Aluminum bar by 3mm. B) Determine the final width and thickness of the Aluminum bar. (1)Q3: For the assembly shown in Fig. Q3. Axial loads are applied at the positions indicated. Find the largest value of P that will not exceed an overall deformation of 3.0 mm, or the following stresses: 140 MPa in the steel, 120 MPa in the bronze, and 80 MPa in the aluminum. Steel Bronze Aluminum B C A D P ЗР 4P +2P | 1m 2m 1.5m A= 480 mm? A= 650 mm? A= 320 mm? E= 200 GPa E= 83 GPa E= 70 GPa Fig. Q3