When the temperature is 10°C, the two rods are separated by a 0.5-mm0.5 mmgap as shown. If the temperature rises to 90°C, determine(a) the normal stress in each rod,300 mm250 mm(b) the change in length of the stainless steel rod.ABAluminumA = 2000 mm?E = 75 GPaa = 23 x 10-6/°CStainless steelA = 800 mm?E = 190 GPaa = 17.3 x 10-/°C

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Answered: When the temperature is 10°C, the two…

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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A cylindrical pressure vessel is fabricated from steel plating that has a thickness of 20 mm. The diameter of the pressure vessel is 450 mm, and its length is 2.0 m. Determine the maximum internal pressure that can be applied if the longitudinal stress is limited to 140 MPa, and the circumferential stress is limited to 60 MPa.
A steel cable having a diameter of 0.4 in. wraps over a drum and is used to lower an elevator having a weight of 80 lb. The elevator is 150 ft below the drum and is descending at the constant rate of 2 ft>s when the drum suddenly stops. Determine the maximum stress developed in the cable when this occurs. Est = 29(103) ksi, sY = 50 ksi.
mechanics of deformable bodies The cylindrical tank has an outer radius of 1.5m and a wall thickness of 25 mm. If the tank is pressurized to 1.5 MPa, determine the longitudinal stress.
The cylindrical tank with a spherical end cap has an outer radius of 2 m and a wall thickness of 50 mm. If the tank is pressurized to 3.5 MPa, determine the longitudinal and circumferential stresses in the cylinder, and the stress in the end cap. (Show free body diagram and complete solution)
The two cylindrical rod segments are fixed to the rigid walls such that there is a gap of 0.01 in. between them when T1 = 60°F. Each rod has a diameter of 1.25 in. Determine the average normal stress in each rod if T2 = 400F, and also calculate the new length of the aluminum segment. Take aal = 13(10-6)>°F, Eal = 10(103) ksi, (sY)al = 40 ksi, acu = 9.4(10-6)>°F, (sY)cu = 50 ksi, and Ecu = 15(103) ksi
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The spherical pressure vessel has an inner diameter of 2 m and a thickness of 10 mm. A strain gage having a length of 20 mm is attached to it, and it is observed to increase in length by 0.012 mm when the vessel is pressurized. Determine the pressure causing this deformation, and find the maximum in-plane shear stress, and the absolute maximum shear stress at a point on theouter surface of the vessel. The material is steel, for which Est = 200 GPa and nst = 0.3.
A spherical pressure vessel has an outer diameter of 75 mm and a wall thickness of 10 mm. It's made of a steel having the yield strength (Sy) of 300 MPa. If the largest principal normal stress is not to exceed 80% of the yield strength, determine the maximum internal pressure this pressure vessel can withstand. The pressure vessel is considered thick-walled spherical pressure vessel.
Before loading the plate, mark a line with the inclination shown. After the load is applied, the slope of the line decreases by 5x10^-3 rad. Determine the normal stress ?. Consider E = 2.1x106 kgf/cm^2 and v = 0.30. Express your answer in units of kgf/cm^2.
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 vertical steel rod has a constant diameter of 32 mm and a length of 400 mm. is hanged from a rigid fixing. A mass is gently placed onto a collar which is attached to the lower end of the rod. The strain energy stored in the steel is 0.400 x 10-³. If Esteet = 209 GPa, 1.1 Determine the gradually applied load and magnitude of the mass. 1.2 Calculate the maximum stress in the rod when gradually applied. 1.3 Determine the magnitude of the mass when the mass is suddenly applied. 1.4 Calculate the extension of the rod when suddenly applied.
The cylindrical tank with a spherical endcap has an outer radius of 2 m and a wall thickness of 25 mm. If the tank is pressurized to 1.5 MPa, determine the longitudinal and circumferential stresses in the cylinder, and the stress in the endcap.

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