A carbon steel ball with 27.00-mm diameter is pressed together with an aluminum ballwith a 36.00-mm diameter by a force of 11.00 N. Determine the maximum shearstress and the depth at which it will occur for the aluminum ball. Assume the figuregiven below, which is based on a typical Poisson's ratio of 0.3, is applicable to estimatethe depth at which the maximum shear stress occurs for these materials.1.00.8Ratio of stress to Pma9 0.6στ240.4Tmax0.200.5aa1.5aZ2a2.5aЗаDistance from contact surfaceThe maximum shear stress is determined to beMPa.The depth in the aluminum ball at which the maximum shear stress will occur isdetermined to be [mm.

The problem set given is based on Hertzian Contact Stress Problem, in order to calculate the Maximum…

Answered: A carbon steel ball with 27.00-mm…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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A 1.25 in.-square steel punch is to push through an aluminum plate that is supported on a die, thus forming a square opening in the plate. a. If the allowable compressive stress in the plate is 24 ksi, what is the maximum punching force, in pounds, that this die can exert on the plate? b. If the aluminum has an ultimate shear strength of 6500 psi, find the maximum thickness t, in inches, through which a hole may be punched. Write to three decimal places. Punch force Steel punch Aluminum plate Die Punched piece
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Answer p1 and Part 2: Determine the shear force acting at each of the following locations:(a) x = 11.0- ft (i.e., just to the left of point B)(b) x = 11.0+ ft (i.e., just to the right of point B)(c) x = 28.5 ftNote that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.Answers: a) V = ____ kips b) V = ____ kips c) V = ____ kips Part 3: Determine the bending moment acting at each of the following locations:(a) x = 11.0 ft (i.e., at point B)(b) x = 28.5 ftNote that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. Answers: a) M = ____ kips-ft b) M = ____ kips-ft Part 4: Use your shear-force and bending-moment diagrams to determine the maximum bending moment, Mmax, and its location, xmax. Use the bending-moment sign convention detailed in Section 7.2.Answers: Mmax = ____ kips-ft xmax = ____ ft
A specimen of titanium alloy is tested in torsion and the shear stress–strain diagram is shown in Fig.a. Determine the shear modulus G, the proportional limit, and the ultimate shear stress. Also, determine the maximum distance d that the top of a block of this material, shown in Fig. b, could be displaced horizontally if the material behaves elastically when acted upon by a shear force V. What is the magnitude of V necessary to cause this displacement?
.. If failure occurs in tension, why is shear important ? Why is torsional load called pure shear. 2. Derive the torsion forumula Тр J What are the assumptions made in arriving at this formula.
Pr
Specifically a mechanics of materials problem. Question in pic below. Hint: The solution must include relevant free body diagrams defining terms and that are consistent with the computations you make. Justify your computation of shear stress. This justification should include a sketch showing the “broken” part exposing the surface area upon which the shear stress acts
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Hello, the question I have attached is on the book "Advanced Mechanics of Materials and Applied Elasticity, 5th edition, Ansel Ugural". The question is in the first chapter, 58th question. I will be glad to be answered, thanks a lot!
3. Calculate the contact stress between a 100-mm- diameter steel ball weighing 500 g sitting on a hardened steel surface plate.
Hertz contact theory can be used to determine the stresses due to contact between two spheres, which can be used approximate frictionless contact between the patellar and femoral components of a total knee replacement. Part a) Show on a sketch how the stresses at the surface vary from the centre of contact to the edge of contact. Part b) Make a sketch of an infinitesimal element of material at the centre of contact that shows the stress components. Identify the maximum principal stress, and write an expression for the maximum shear stress. Part c) Sketch a graph that shows how the maximum contact pressure varies with load and in a sentence explain why the curve has the shape it does.

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