2.5-14 A brass sleeve S is fitted over a steel bolt B (see figure), and the nut is tightened until it is just snug. The bolt has a diameter d, = 25 mm, and the sleeve has inside and outside diameters d¡ = 26 mm and d2 = 36 mm, respectively. Calculate the temperature rise A T that is required to produce a compressive stress of 25 MPa in the sleeve. (Use material properties as follows: for the sleeve, as = 21 × 10¬º/°C and Es = 100 GPa; for the bolt, a z %3D %3D %3D 10 x 10-6/°C and E = 200 GPa.) %3D %3D B dz di de Sleeve (S) Bolt (B) PROBLEM 2.5-14

2.5-14 A brass sleeve S is fitted over a steel bolt B (see figure), and the nut is tightened until it is just snug. The bolt has a diameter d, = 25 mm, and the sleeve has inside and outside diameters d¡ = 26 mm and d2 = 36 mm, respectively. Calculate the temperature rise A T that is required to produce a compressive stress of 25 MPa in the sleeve. (Use material properties as follows: for the sleeve, as = 21 × 10¬º/°C and Es = 100 GPa; for the bolt, a z %3D %3D %3D 10 x 10-6/°C and E = 200 GPa.) %3D %3D B dz di de Sleeve (S) Bolt (B) PROBLEM 2.5-14

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

See similar textbooks

Similar questions

If the allowable tensile stress for the bar is (ot)allow = 20 ksi, and the allowable shear stress for the pin is Tallow = 11.6 ksi. Assume the hole in the bar has the same diameter d as the pin. Take t = 1/4 in. and w = 2 in. (Figure 1) Figure w/2 [w/2 P 1 of 1 > Part A Determine the diameter of the pin so that the load P will be a maximum. Express your answer to three significant figures and include appropriate units. d= Submit Part B P = Submit μA Value Request Answer What is this maximum value for P? Express your answer to three significant figures and include appropriate units. li μA Provide Feedback Value Units Request Answer ? Units ?
2.2-4 A steel cable with a nominal diameter of 25 mm (see Table 2-1) is used in a construction yard to lift a bridge section weighing 38 kN, as shown in the figure. The cable has an effective modulus of elastic- ity E = 140 GPa. (a) If the cable is 14 m long, how much will it stretch when the load is picked up? (b) If the cable is rated for a maximum load of 70 kN, what is the factor of safety with respect to failure of the cable? ▬▬
Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the figure. The diameter of aluminum rod (1) is 2.50 in., the diameter of brass rod (2) is 1.75 in., and the diameter of steel rod (3) is 3.00 in. Determine the axial normal stress in each of the three rods. Assume P = 5 kips, Q = 3 kips, R = 13 kips and 5 = 24 kips. The normal stress is positive if tensile and negative if compressive. σ₁ = Answers: 0₂ = (1) 03 = (2) i i A Q B C D ksi ksi ksi
While drilling a hole with a brace and bit,you exert a downward force P = 25 lb on the handleof the brace (see figure). The diameter of the crankarm is d = 7/16 in. and its lateral offset is b = 4-7/8 in.Determine the maximum tensile and compressivestresses σt and σc, respectively, in the crank.
Example:- A three 1in *3in wood board is connected together by bolt (d=0.5in) as shown in the figure. The washer dimensions are (Do-2in, Di-0.5in). The nut is a 0.5in (Zinc Finish, grade A Finished Hex. Nut). Analyze the stress developed in the wood and the bolt in the following two cases :- Case I:-An External force of (P=1400lb) that is applied on the wood board on the right is transmitted through the bolt to left wood board. - Case II: There is no external force but the nut is tightened so that internal stress of o=2700psi is developed in the bolt. 돌 - P/2 -F P/2 NT NT
A car weighing 130 kN when fully loaded is pulled slowly up a steep inclined track by a steel cable (see figure). The cable has an effective cross-sectional area of 490 mm2, and the angle of the incline is 30o. (a) Calculate the tensile stress in the cable. (b) If the allowable stress in the cable is 150 MPa, what is the maximum acceptable angle of the incline for a fully loaded car?
1.4-6) A circular aluminum tube with a lenth of L- 420 mm is loaded in compression by forces P (see figure). The hollow segment of length L/3 has outside and inside diameters of 60 mm and 35 mm, respectively. The solid segment of length 2L/3 has a diameter of 60 mm. A strain gage is placed on the outside of the hollow segment of the bar to measure normal strains in the longitudinal direction. (a) If the measured strain in the hollow segment is ɛ, = 470 x 10-º, what is the strain ɛ, in the solid part? Hint: The strain in the solid is equal to that in the hollow segment multi- plied by the ratio of the area of the hollow to that of the solid segment. segment (b) What is the overall shortening 8 of the bar? (c) If the compressive stress in the bar cannot exceed 48 MPa, what is the maximum permissi- ble value of load P? L/3 Strain gage -L = 420 mm PROBLEM 1.4-6
Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the figure. One load of P=33P=33 kipskips is applied to the assembly at A, two loads of Q=30Q=30 kipskips are applied at B, and two loads of R=35R=35 kipskips are applied at C. The normal stress magnitude in aluminum rod (1) must be limited to 1717 ksiksi. The normal stress magnitude in steel rod (2) must be limited to 3030 ksiksi. The normal stress magnitude in brass rod (3) must be limited to 2121 ksiksi. Determine the minimum diameter required for each of the three rods.
The flat bar shown in the figure is subjected to tensile forces P = 3000 lb. The bar has thickness t = 0.25 in. a) If the designer wants to make a stepped bar with shoulder fillets as shown in the figure, determine R the maximum stresses for fillet radii R = 0.25 in. P and R = 0.5 in. if the bar widths are b = 4.0 in. and c = 2.5 in. b) Comment on the relation between the stress and the fillet radius each time it is increased. c) What is the factor of safety for each fillet radius if the part is made of cast iron Sut = 30 ksi? Solution: 3.0 2.8 D/d = 2 1.15 D. 2.6 1.5 2.4 2.2 - 1.05 O nom %3D %3D td к, 2.0 3.0 1.8 E 1.6 E 1.01 1.4 E 1.2 1.0 0.05 0.10 0.15 0.20 0.25 0.30 r/d
1.9-8 The rear hatch of a van (BDCG in figure part a) is supported by two hinges at B and B, and by two struts 4, B and 4 B diameter d as shown in figure part b The struts are supported at 4 and A, by pins, each with diameter d and passing through an evelet of thickness7=8 mm at the end of the strut (figure part b) A closing force P 50 N is applied at G, and the mass of the hatch M=43 kg iss concentrated at C. 10 mm), 9 mm (a) What is the force Fin tach strut? (Use the free body diagram of one half of the hatch in the figure part e )
The two wooden boards shown in Figure are connected by a 0.5-in.-diameter bolt. Washers are installed under the head of the bolt and under the nut. The washer dimensions are D = 2 in. and d = 5/8 in. The nut is tightened to cause a tensile stress of 9,000 psi in the bolt. Determine the bearing stress between the washer and the wood. Bolt Washer ANSWER: D psi Washer Nut
A pick-up truck tailgate supports a crate where Wc= 150 lb. as shown in the figure. The tailgate weighs bf = 60 lb and is supported by two cables (only one is shown in the figure). Each cable has an effective cross sectional area Ac= 0.017 in. a. Find the tensile force and normal stress a in each cable. b. If each cable elongates 8= 0.01 in. due to the weight of both the crate and the tailgate, what is the average strain in the cable?"