14-121. The block is fitted between the fixed supports. Ifthe glued joint can resist a maximum shear stress ofTalor = 14MPa, determine the temperature rise that willcause the joint to fail. Take E = 70GPA, v = 02, anda = 11(10/C Hint: Use Eq. 14-32 with an additionalstrain term of aAT (Eq. 9-4).

Answered: 14-121. The block is fitted between the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The assembly consists of two A992 steel bolts AB and EF and an 6061-T6 aluminum rod CD. When the temperature is at 30° C, the gap between the rod and rigid member AE is 0.1 mm. Determine the normal stress developed in the bolts and the rod if the temperature rises to 130° C. Assume BF is also rigid.
The bell-crank mechanism is in equilibrium for an applied load of F1 = 11 kN applied at A. Assume a = 250mm, b = 100mm, c = 90mm, and θ = 40°. Pin B is in a double-shear connection and has a diameter of 29 mm. The bell crank has a thickness of 31 mm. Determine the shear stress in pin B. and the the bearing stress in the bell crank at B.
The bell-crank mechanism is in equilibrium for an applied load of F1 = 13 kN applied at A. Assume a = 300mm, b = 190mm, c = 90mm, and θ = 35°. Pin B is in a double-shear connection and has a diameter of 31 mm. The bell crank has a thickness of 26 mm. Determine(a) the shear stress in pin B.(b) the bearing stress in the bell crank at B.
The car bumper is made of polycarbonate-polybutylene terephthalate. If E = 2.0 GPa, determine the maximum deflection and maximum stress in the bumper if it strikes the rigid post when the car is coasting at v = 0.75 m>s. The car has a mass of 1.80 Mg, and the bumper can be considered simplysupported on two spring supports connected to the rigid frame of the car. For the bumper take I = 300(106) mm4, c = 75 mm, sY = 30 MPa and k = 1.5 MN>m.
When the temperature is at 30°C, the A-36 steel pipe fits snugly between the two fuel tanks. When fuel flows through the pipe, the temperatures at ends A and B rise to 130°C and 80°C, respectively. If the temperature drop alongthe pipe is linear, determine the average normal stress developed in the pipe. Assume the walls of each tank act as a spring, each having a stiffness of k = 900 MN>m.
The collar has a mass of 5 kg and falls down the titanium Ti-6A1-4V bar. If the bar has a diameter of 20 mm, determine the maximum stress developed in the bar if the weight is (a) dropped from a height of h = 1 m, (b) releasedfrom a height, h 0, and (c) placed slowly on the flange at A.
If the bolt head and the supporting bracket are made of the same material having a failure shear stress of tfail = 120 MPa, determine the maximum allowable force P that can be applied to the bolt so that it does not pullthrough the plate. Apply a factor of safety of F.S. = 2.5 against shear failure.
If the 2-in.-diameter shaft is made from brittle material having an ultimate stress of sult = 50 ksi, for both tension and compression, determine if the shaft fails according to the maximum normal stress theory. Use a factor of safety of 1.5 against rupture.
The pipe is made of A992 steel and is connected to the collars at A and B. When the temperature is 60°F, there is no axial load in the pipe. If hot gas traveling through the pipe causes its temperature to rise by T = (40 + 15x)F, where x is in feet, determine the average normal stress in the pipe. The inner diameter is 2 in., the wall thickness is 0.15 in.
The gas pipeline is supported every 20 ft by concrete piers and also lays on the ground. If there are rigid retainers at the piers that hold the pipe fixed, determine the longitudinal and hoop stress in the pipe if the temperature rises 60° F from the temperature at which it was installed. The gas within the pipe is at a pressure of 600 lb>in2. The pipe has an inner diameter of 20 in. and thickness of 0.25 in. The material is A-36 steel.
The bronze C86100 pipe has an outer diameter of 1.5 in. and a thickness of 0.125 in. The coupling on it at C is being tightened using a wrench. If the applied force is F = 20 lb, determine the maximum shear stress in the pipe.
The friction pad A is used to support the member,which is subjected to an axial force of P = 2 kN. Thepad is made from a material having a modulus ofelasticity of E = 4 MPa and Poisson’s ratio n = 0.4.If slipping does not occur, determine the normaland shear strains in the pad. The width is 50 mm.Assume that the material is linearly elastic. Also,neglect the effect of the moment acting on the pad.

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