The rod ABCD is made of an aluminum alloy with a modulus of elasticity E = 70 GPa. For the loading shown, and neglecting the weight of the rod, determine the stress in sections AB, BC, and CD and the deflection of point D. For stress, answer to nearest whole number. Use 3 decimal places for displacement. Drawing is not to scale. Assume compressive stresses are positive, and that displacement to the right is positive.
Stress in AB = _______ MPa
Stress in BC = _______ MPа
Stress in CD = _______ MPa
Displacement at D = _______ mm
The rod ABCD is made of an aluminum alloy with a modulus of elasticity E = 70 GPa
A solid aluminum [E = 76 GPa] rod (1) is connected to a solid bronze [E = 93 GPa] rod (2) at flange B, as shown. Aluminum rod (1) has an outside diameter of 31 mm and bronze rod (2) has an outside diameter of 15 mm. The norma stress in the aluminum rod must be limited to 128 MPa, and the normal stress in the bronze rod must be limited to 97 MPa. Assume L1 = 180 mm and...
The cylindrical pressure vessel shown in the figure has an inside diameter of 980 mm and a wall thickness of 12 mm. The cylinder is made of an aluminum alloy that has an elastic modulus of E = 72 GPa and a shear modulus of G = 27.5 GPa. Two strain gages are mounted on the exterior surface of the cylinder at right angles to each other. The angle θ is 21°. If the pressure in the vessel is 1.86...
3- (SKMMIH3/SME2113) from plastic having modulus of elasticity, E-4.0GPa a) Bar ABCD shown in Figure Q3a is made The bar consists of three segments, AB, BC, and CD. Segment AB is hollow and segments BC and CD are solids If the shortening (contraction) of bar ABCD is limited to 4.0 mm, determine the maximum allowable force P to be applied at C. (8 marks) 90 mm ΟΙ 00 mm 1080 min PL 500 mm 250 mm 250 mm Figure Q3a...
Bar B of the pin connected system is made of aluminum alloy (E=105 GPa, A=1200 mm^2) and bar A is made of a hardened carbon steel (E=210 GPa, A=1200 mm^2). Bar CDE is rigid. When the system is unloaded, Bars A and B are unstressed. Determine: a) The Normal Stress in bars A and B. (5pts) b) The Shearing Stress in the 20-mm diameter pin E which is in double shear. (5pts) c) If the yield stress of the material...
In the system, each element is made of aluminum. and E = 70 GPa. Cross sections of vertical connections 10x40 Mm. For the upload shown a) FC by taking pin diameters 10 mm only for this option the greatest stress in the element. b) Safety shear stress at point F for 75 MPa the diameter of the pin, c) Displacement of the G point, You calculate. 250 mm 400 mm А B 250 mm 40 mm с E 300 mm...
03(a) A reinforced concrete beam is acted on by a positive bending moment. reinforcement consists of 4 bars of 28 mm diameter. The modulus of elasticity is E 25 GPa for the concrete and E-200 GPa for the steel. The allowable stresses for the concrete and steel are ơ.-9.2 MPa and ơ.-135 MPa, respectively. Determine the maximum permissible positive bending moment. (10 marks) 625 mm 4 bars 28 mm -300 mm Figure Q3(a) 03(b) A simply supported beam that is...
6. An alloy rod is used in an application involving wide temperature changes. The alloy has the following properties: (1) elastic modulus of 70 GPa, (2) yield strength of 40 MPa, (3) fracture strength of 100 MPa, and (4) thermal expansion coefficient of 24x10-6 °c-1. The rod is 10 cm long and mechanically constrained. Note that the initial temperature is 20°C prior to any use. What is the temperature in [°C] to which the rod may be subjected without significant...
the modulus of elasticity is not given Problem 4.2: The mechanism below is in equilibrium for an applied load of P = 20 kN. Specifications for the mechanism limit the shear stress in the steel [G = 80 GPa) shaft BC to 70 MPa, the shear stress in bolt A to 100 MPa, and the vertical deflection of joint D to a maximum value of 25 mm. Assume that the bearings allow the shaft to rotate freely. Using L =...
Please show all work for each step taken. Thank You. y loaded rod shown with area-2 in2, modulus E-10E6 psi, lengths: LAB-6 in and Lac- 12 lb and Fc 40 lb find the axial stress in sections AB and BC of the rod and the deflection at point C (2 points each). y loaded rod shown with area-2 in2, modulus E-10E6 psi, lengths: LAB-6 in and Lac- 12 lb and Fc 40 lb find the axial stress in sections AB...
4. A piece of cubic member made from aluminum (E 70 GPa 0.33) is under compressive stress (-60 MPa) in one direction. Determine whether the volume of the cubic member will (a) increase or (b) decrease? Justify your choice