The cylindrical rod AB has a length L=6 ft and a 1.25-in. diameter, it is made of a mild steel that is assumed to beelastoplastic with E= 29 x 106 psi and dy= 32 ksi. A force P is applied to the bar until end A has moved down by anamount omDetermine the maximum value of the force P and the permanent set of the bar after the force has been removed, knowing om - 0.250in.The maximum value of the force P iskips.The permanent set of the bar after the force has been removed isin.

Answered: Image /qna-images/answer/c6429fc0-c5fc-4d08-a80a-5414bd2c14c8.jpg

Answered: The cylindrical rod AB has a length L=6…

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 brass tube AB (E = 105 GPa) has a cross-sectional areaof 138 mm² and is fitted with a plug at A. The tube is attached atB to a rigid plate that is itself attached at C to the bottom of analuminum cylinder (E = 70 GPa) with a cross-sectional areaof 250 mm². The cylinder is then hung from a support at D. In orderto close the cylinder, the plug must move down through 1.2 mm. Determine the force P that must be applied to the cylinder.
A 75 mm diameter compound bar is constructed by shrinking a circularbrass bush onto the outside of a 45 mm diameter solid steel rod. If thecompound bar is then subjected to an axial compressive load of 170 kN,determine the load carried by the steel rod. The modulus of elasticity for steel,Es = 200 GN/m2 , and brass, Eb = 100 GN/m2
(i) A homogeneous prismatic bar hangs from a ceiling verticallydownwards under its own weight. The bar has density,?,Length, L and cross-sectional area, A. Show that the total elongation of the bar is given by Eq. (1):
A 10-mm diameter steel bolt is surrounded by bronze sleeve. The outer diameter of the bronze sleeve is 20 mm and its inner diameter is 10-mm. Given that the yield stress for the steel is 640 MPa and the yield stress for the bronze is 520 MPa, determine the magnitude of the maximum allowable total load that can be applied to this assembly. (Assume full bond between the steel and the bronze sleeve) Esteel = 200 GPa, Ebronze = 100 GPa, Factor of safety = 1.5
A steel rod of 30 mm diameter is enclosed centrally in a hollow copper tube of external diameter 40 mm and 5 mm thick. The composite bar is then subjected to an axial pull of 45 kN. If the length of the compound rod is 150 mm , and the elasticity moduli are Est = 200 GPa and Ecu = 100 GPa , determine: 1.2.2 The load carried by the rod and that carried by the tube
A 1.05-m-long rod of negligible weight is supported at its ends by wires A and B of equal length. The cross-sectional area of A is 1.80 mm^2 and that of B is 4.20 mm^2 . Young's modulus for wire A is 2.30×1011 Pa ; that for B is 1.20×1011 Pa . At what point along the rod should a weight w be suspended to produce equal stresses in A and B? (d=? m from wire A) At what point along the rod should a weight w be suspended to produce equal strains in A and B? (d=? m from wire A)
The brass tube AB (E= 105 GPa) has a cross-sectional area of 14 0 m m2 and is fitted with a plug at A. The tube is attached at B to a rigid plate that is itself attached at C to the bottom of an alumi-num cylinder (E= 72 GPa) with a cross-sectional area of 250 mm2. The cylinder is then hung from a support at D. In order to close the cylinder, the plug must move down through 1 mm. Determine the force P that must be applied to the cylinder.
A standard tension test is used to determine the properties of an experi-mental plastic. The test specimen is a 58-in.-diameter rod and it is subjected to an 800-lb tensile force. Knowing that an elongation of 0.45 in. and a decrease in diameter of 0.025 in. are observed in a 5-in. gage length, determine the modulus of elasticity, the modulus of rigidity, and Poisson’s ratio for the material
The bar shown below is tested in universal testing machine. It is observed that at a loadof 40 kN the total extension of the bar is 0.280 mm. Determine the Young’s modulus of thematerial.
Determine the allowable value of force P (in Newtons), if a bar of diameter d = 32 mm and length L = 0.60 m is loaded in tension by force P. The bar has modulus E = 44 GPa and allowable normal stress of 218 MPa. The elongation of the bar must not exceed 1.8 mm.
b.The strong room of a school where an exam question papers are kept is made up ofrectangular metal bars.One bar has a width of 10 mmand would beable to withstand a maximum compressive stress of 20 MPa. i.Prove that,the minimum breadth of thisbar can withstand a burdened with a force of 3 KN. ii.If the bar in question is 2 mlong and decreases in length by 0.25 mmwhen aforce isapplied, then show thata percentage strain can be obtained. iii.What would be its Modulus of Elasticity, E?
The 10-mm-diameter steel bolt is surrounded by a bronze sleeve. The outer diameter of this sleeve is 20 mm, and its inner diameter is 10 mm. If the yield stress for the steel is (sY)st = 640 MPa, and for the bronze (sY)br = 520 MPa,determine the magnitude of the largest elastic load P that can be applied to the assembly. Est = 200 GPa, Ebr = 100 GPa.

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