F8-16. A 20-mm-wide block is bonded to rigid plates at itstop and bottom. When the force Pis applied the block deformsinto the shape shown by the dashed line. If a-3 mm and P isreleased, determine the permanent shear strain in the block.т (MPa)-150 mm-3 mm130150 mmy (rad)0.005

Given data: Maximum elastic strain, γmax. = 0.005 rad. Calculate the angle due to shear from the…

Answered: F8-16. A 20-mm-wide block is bonded to…

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 strain at point A on the bracket has normal components 250x10-6 and 550x10-6 in x and y directions, respectively and shear component -600 x10-6 in x-y plane. Determine the absolute maximum shear strain in 10-6 unit.
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.
The A-36 steel bar consists of two segments, one of a circular cross-section of radius r, and one of square cross-section. If the bar is subjected to the axial loading of P, determine the dimensions of the square segment so that the strain energy within the square segment is the same as in the circular segment.
The distributed loading is applied to the rigid beam, which is supported by the three bars. Each bar has a cross-sectional area of 1.25 in2 and is made from a material having a stress–strain diagram that can be approximated bythe two line segments. If a load of w = 25 kip>ft is applied to the beam, determine the stress in each bar and the vertical displacement of the beam.
The A-36 steel bar consists of two segments, one ofcircular cross section of radius r, and one of square crosssection. If the bar is subjected to the axial loading of P,determine the dimensions a of the square segment so thatthe strain energy within the square segment is the same asin the circular segment.
The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5 mm. Determine the shear strain, gxy, at A.
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
The bolt has a diameter of 10 mm, and the arm AB has a rectangular cross section that is 12 mm wide by 7 mm thick. Determine the strain energy in the arm due to bending and in the bolt due to axial force. The bolt is tightened so that it has a tension of 500 N. Both members are made of A-36 steel. Neglect the hole in the arm.
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 bolt is subjected to a compressive force of P = 20 kN, determine the average normal stress in the steel and the bronze. Est = 200 GPa, Ebr = 100 GPa.
The plastic block is subjected to an axial compressive force of 600 N. Assuming that the caps at the top and bottom distribute the load uniformly throughout the block, determine the average normal and average shear stress acting along section a–a.
The strain at point A on the pressure-vessel wall has components Px = 480(10-6), Py = 720(10-6), gxy =650(10-6). Determine (a) the principal strains at A, in the x9y plane, (b) the maximum shear strain in the x9y plane, and (c) the absolute maximum shear strain.
A single strain gage, placed in the vertical plane on the outer surface and at an angle 60° to the axis of the pipe, gives a reading at point A of PA = -250(10-6). Determine the principal strains in the pipe at this point. The pipe has an outer diameter of 1 in. and an inner diameter of 0.6 in. and is made of C86100 bronze.

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F8-16. A 20-mm-wide block is bonded to rigid plates at its top and bottom. When the force Pis applied the block deforms into the shape shown by the dashed line. If a-3 mm and P is released, determine the permanent shear strain in the block. т (MPa) -150 mm- 3 mm 130 150 mm y (rad) 0.005