8-26. The lap joint is connected together using a 30 mmdiameter bolt. If the bolt is made from a material having ashear stress-strain diagram that is approximated as shown,determine the shear strain developed in the shear plane ofthe bolt when P - 340 kN.7 (MPa)525350(rad)0.0050.05

Calculate the load on the bolt. Here, Pbolt is the load on the bolt. Calculate the shear stress in…

Answered: 8-26. The lap joint is connected…

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 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 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 cylindrical pressure vessel has an inner radius of 1.25 m and a wall thickness of 15 mm. It is made from steel plates that are welded along the 45° seam. Determine the normal and shear stress components along this seam if the vessel is subjected to an internal pressure of 8 MPa.
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 lap joint is connected together using a 1.25 in. diameter bolt. If the bolt is made from a material having a shear stress–strain diagram that is approximated as shown, determine the shear strain developed in the shear plane of the bolt when P = 75 kip.
The strain gage is placed on the surface of the steel boiler as shown. If it is 0.5 in. long, determine the pressure in the boiler when the gage elongates 0.2(10-3) in. The boiler has a thickness of 0.5 in. and inner diameter of 60 in. Also, determine the maximum x, y in-plane shear strain in the material. Est = 29(103) ksi, nst = 0.3.
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.
The board is subjected to a tensile force of 200 lb. Determine the average normal and average shear stress in the wood fibers, which are oriented along plane a–a at 20° with the axis of the board.
The pin at A has a diameter of 0.25 in. If it is subjected to double shear, determine the average shear stress in the pin.
The aluminum bracket A is used to support the centrally applied load of 8 kip. If it has a thickness of 0.5 in., determine the smallest height h in order to prevent a shear failure. The failure shear stress is tfail = 23 ksi. Use a factorof safety for shear of F.S. = 2.5.
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.

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8-26. The lap joint is connected together using a 30 mm diameter bolt. If the bolt is made from a material having a shear stress-strain diagram that is approximated as shown, determine the shear strain developed in the shear plane of the bolt when P - 340 kN. 7 (MPa) 525 350 (rad) 0.005 0.05