11.A steel tire is to be heated and placed on a 72.00" diameter locomotive drive wheel hub.At 80 F the tire has an inside diameter of 71.94". The coefficient of thermal expansion forthe steel is 6.5(10-6) /F, and its yield strength for 0.2% offset is 60 ksi. Determine:(a) The temperature increase required for the inside diameter of the steel tire to be72.04" to facilitate placing it on the drive wheel hub.(b) The maximum tensile stress in the steel tire when it has cooled to -20 °F, assumingthat the diameter of the drive wheel hub does not change.(c) The factor of safety with respect to failure by slip for the stress obtained in part (b).

Answered: 11. A steel tire is to be heated and…

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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a)Draw the stress-strain curve of a ductile material such as that of a ductile steel and discuss the various regions of the curve. Explain the difference between a ductile and brittle material and the concept of ductility and its measurement. b)A machine part 10 mm thick, having the dimensions shown in the figure, is to be subjected to cyclic loading. If the maximum stress is limited to 60 MPa, determine the allowable force P. Approximate the stress concentration factors form the graph given. Where might a potential fracture occur?
The schematic of a punch and die for punching washer isshown. Determine the force F needed to punch outwashers with thickness of 5mm, inside diameter of 15 mmand outside diameter of 25mm. The average shearstrength of the plate is 30 MPa and average compressivestress in the puncher is 65 MPa. Answer: F =___________________
7. In the Brinell hardness test, if the load used 1200 kg, and the ball diameter 6 mm, write down the diameter of the indentation (in mm unit) if the BHN number was 586.
A machine component is subjected to flexural stress which fluctuates between + 280 MPa and – 137 MPa. Determine the value of: 1. Stress range 2. Stress ratio
An airplane’s landing gear must be capable of supporting ⅓ of its weight at 200000 kg. To induce safety, the landing gear must be able to support twice its maximum load. Determine the minimum cross-sectional are (mm2) of the landing gear if it is made of a heat-treated steel having a yield strength of 860 mpa and a tensile strength of 900 mpa.
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.
5) A brass rod 8mm diameter and 400mm long fits centrally inside aluminum tube of the same length having an external diameter of 16mm and a wall thickness of 3mm. The rod and tube are rigidly connected at their ends so that they twist together when a torque of 20 Nm is applied. Galuminum = 30GPA; Gbrass = 40GPA. Determine: %3D a) The values of the torsional stiffness for the rod and the tube b) The torque transmitted by each c) The maximum shear stress in each d) The angle of twist
Problem 3) Determine the thickness of a 120 mm wide uniform plate for safe continuous operation if the plate is to be subjected to a tensile load that has a maximum value of 250 kN and a minimum value of 100 kN. The properties of the plate material are as follows: Endurance limit stress = 225 MPa, and Yield point stress = 300 MPa. The factor of safety based on yield point may be taken as 1.5. Problem 4) Determine the diameter of a circular rod made of ductile material with a fatigue strength, oc = 265 MPa and a tensile yield strength of 350 MPa. The member is subjected to a varying axial load from Wmin = – 300 x 10 N to Wmax = 700 x 10° N and has a stress concentration factor = 1.8. Use factor of safety as 2.0. Use Solderberg relation.
A mild steel material is subjected to a Brinell hardness test with an applied force of 9469 N using a hardened steel ball indentor of 9 mm and it is found that the Brinell Hardness Number as 912. Determine the surface area of indentation and indentation diameter.
4) A sophisticated machinery design has a flat bar fillet component with a thickness of 10mm. For an upgraded version of this machinery,this component is replaced with a flat bar with a hole (without a fillet part). If the thickness of to plate is to be reduced by 20% and allowable stress, largest axial load and stress-concentration factors are to remain same, calculate the values of major width D and hole's radius r for the new component. For the flat bar with fillet: D = 120 mm d = 60 mm r = 8.1 mm Allowable stress = 135 MPa
What wall thickness in mm is required for a 634 mm diameter cylinder under an internal pressure of 18 MPa? Use a design stress of 80 MPa?
2. A metal alloy has been tested in a tensile test with the following results for the flow curve parameters: strength coefficient = 620.5 MPa and strain-hardening exponent 0.26. The same metal is now tested in a compression test in which the starting height of the specimen = 62.5 mm and its diameter = 25 mm. Assuming that the cross section increases uniformly, determine the load required to compress the specimen to a height of (a) 50 mm and (b) 37.5 mm. 3. The starting length of a shaft is 25.00 mm. This shaft is to be inserted into a hole in an expansion fit assembly operation. To be readily inserted, the shaft must be reduced in length by cooling. Determine the temperature to which the shaft must be reduced from room temperature (20° C) in order to reduce its length to 24.98 mm. Refer to the Table below. Volumetric properties in U.S. customary units for selected engineering materials. Coefficient of Thermal Expansion, a Density, p Ib/in Melting Point, T Material g/cm C'x 10 F'x 10 6…

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