Q3/ For the Aluminum cantilever, shown in Fig.2 below, the factor of safety against fatigue is2.4, the sensitivity factor 0.7, the surface finish factor is 0.91, the size factor is 0.6, Sut 320 MPaand yield strength is 61 Mpa. Calculate, using a proper design theory, the diameter at the fillet.Neglect the transverse shear stress.Fig.20.2d-50 kN(15 Marks)100mm150kN200mm

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Answered: Q3/ For the Aluminum cantilever, shown…

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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MECH.ENG. DESIGN 1 PART 2
Assume suitable value for any missing data. Two cylindrical parts are to be assembled to make an interference fit. The nominal diameter of the assembly is 100 mm. Before assembly, the inner member (copper) has an outer radius that is 0.2 mm larger than the inner radius of the outer member (aluminum). If there is no other force acting on the assembly, determine the maximum and minimum principal stress in both the members. Assume Poisson's ratio of 0.3 for both the materials. Also take rj = 30 mm for copper cylinder and ro = 80 mm for aluminum cylinder.
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Hexagonal nuts for 6.25mm diameter bolts have a height of 5.5mm. If the ultimate strength of the nut material in shear is 103MPa, what is the most nearly the maximum allowable shear force on the nut thread using a safety factor of 5?
In a tensile test on a steel tube of external diameter 18 mm and internal diameter 12 mm, an axial pull of 2 kN produces stretch of 6.72x 10^-3 mm in a length of 100 mm and a lateral contraction of 3.62x10^-4mm in outer diameter. Calculate the values of three modulus and Poisson's ratio of the material
(3) A machine part of uniform thickness t = b/2.5 is shaped as shown and machined all over from AISI C1020, as 2b rolled. The design is for indefinite life for a load repeated from 1,750 lb to 3,500 lb. Let d = b. (a) For a design factor of 1.8 (Soderberg), what should be the dimensions of the part? (b)What is the maximum tensile stress in the part as designed? (4) The same as Problem No. 3, except that cycles of loading should not exceed 10.
Write legibly, provide step by step manual solution, and diagram for below given problem. An 18mm diameter rivet is used to fasten two 22mm thick plate. If the shearing stress is 60MPa. What tensile force applied each plate to shear the bolt? (Ans. F = 15.27KN)
15.27 For the solid model of a fixture shown in Figure P15-27, the inside surface of the hole is subjected to a temperature increase of 80° C. The right end surfaces are fixed. Determine the von Mises stresses throughout the fixture due to this temperature increase. What is the largest von Mises stress? Is it a concern against yielding of the material? Assume the material is AISI 1020 cold-rolled steel. Figure P15-27. 40 mm 75 mm 30 dia. Fixed 20 rad. 30 mm Fixed 50 mm- 15 mm (All dimensions in mm units) H
A machine member is to be designed to operate under a stress ranging from 10,000 psi compression to 18,000 psi tension. The corrected endurance limit of the part is 28,000 psi. What is the factor of safety against fatigue failure if the yield strength, Sy, is 36,000 psi and the ultimate strength, Sul, is 40,000 psi.
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! Required information A rectangular bar is cut from an AISI 1020 cold-drawn steel flat. The bar is 2.500 in wide by 4/8 in thick and has a 0.500-in-dia. hole drilled through the center as depicted in Table A-15-1. The bar is concentrically loaded in push-pull fatigue by axial forces Fa, uniformly distributed across the width. Using a design factor of na = 2, estimate the largest force Fã that can be applied ignoring column action. Determine the endurance limit for this material as well as the value after correction for surface finish, sizing, and loading. The endurance limit for the material is kpsi. The endurance limit after correction is kpsi.
A part is loaded with a combination of bending, axial, and torsion such that the following stresses are created at a particular location:Bending: Completely reversed, with a maximum stress of 60 MPaAxial: Constant stress of 20 MPaTorsion: Repeated load, varying from 0 MPa to 70 MPaAssume the varying stresses are in phase with each other. The part contains a notch such that Kf,bending = 1.4, Kf,axial = 1.1, and Kf,torsion = 2.0. The material properties are Sy = 300 MPa and Su = 400 MPa. The completely adjusted endurance limit is found to be Se = 160 MPa. Find the factor of safety for fatigue based on infinite life, using the Goodman criteria. If the life is not infinite, estimate the number of cycles, using the Walker criterion to find the equivalent completely reversed stress. Be sure to check for yielding.

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