EBK MANUFACTURING PROCESSES FOR ENGINEE
6th Edition
ISBN: 9780134425115
Author: Schmid
Publisher: YUZU
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Chapter 6, Problem 6.132P
To determine
Theminimum possible diameter at the exit of the die.
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2. The flow curve parameters for a certain stainless steel are strength coefficient = 1100 MPa
and strain-hardening exponent = 0.35. A cylindrical specimen of starting cross-sectional area
= 1000 mm? and height = 75 mm is compressed to a height of 58 mm. Determine the force
required to achieve this compression, assuming that the cross section increases uniformly.
In True stress-true-strain curve in tension of solid metal cylinder 45 mm high and 8 mm in diameter, two
pairs of values of stress and strain were given for the specimen metal after it had yielded (1) true stress =
217 MPa, and true strain = 0.35; and (2) true stress = 259 MPa, and true strain = 0.68. Based on these data
points, determine the following:
a) The average flow stress that the metal experiences if it is subjected to a stress that is equal to its
strength coefficient K.
b) The work done that the metal experiences if it is subjected to elongation in height of 45%
c) If during the deformation the relative speed = 20 mm/s, determine the strain rate at h = 50 mm and
h = 70 mm.
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…
Chapter 6 Solutions
EBK MANUFACTURING PROCESSES FOR ENGINEE
Ch. 6 - Prob. 6.1QCh. 6 - Prob. 6.2QCh. 6 - Prob. 6.3QCh. 6 - Prob. 6.4QCh. 6 - Prob. 6.5QCh. 6 - Prob. 6.6QCh. 6 - Prob. 6.7QCh. 6 - Prob. 6.8QCh. 6 - Prob. 6.9QCh. 6 - Prob. 6.10Q
Ch. 6 - Prob. 6.11QCh. 6 - Prob. 6.12QCh. 6 - Prob. 6.13QCh. 6 - Prob. 6.14QCh. 6 - Prob. 6.15QCh. 6 - Prob. 6.16QCh. 6 - Prob. 6.17QCh. 6 - Prob. 6.18QCh. 6 - Prob. 6.19QCh. 6 - Prob. 6.20QCh. 6 - Prob. 6.21QCh. 6 - Prob. 6.22QCh. 6 - Prob. 6.23QCh. 6 - Prob. 6.24QCh. 6 - Prob. 6.25QCh. 6 - Prob. 6.26QCh. 6 - Prob. 6.27QCh. 6 - Prob. 6.28QCh. 6 - Prob. 6.29QCh. 6 - Prob. 6.30QCh. 6 - Prob. 6.31QCh. 6 - Prob. 6.32QCh. 6 - Prob. 6.33QCh. 6 - Prob. 6.34QCh. 6 - Prob. 6.35QCh. 6 - Prob. 6.36QCh. 6 - Prob. 6.37QCh. 6 - Prob. 6.38QCh. 6 - Prob. 6.39QCh. 6 - Prob. 6.40QCh. 6 - Prob. 6.41QCh. 6 - Prob. 6.42QCh. 6 - Prob. 6.43QCh. 6 - Prob. 6.44QCh. 6 - Prob. 6.45QCh. 6 - Prob. 6.46QCh. 6 - Prob. 6.47QCh. 6 - Prob. 6.48QCh. 6 - Prob. 6.49QCh. 6 - Prob. 6.50QCh. 6 - Prob. 6.51QCh. 6 - Prob. 6.52QCh. 6 - Prob. 6.53QCh. 6 - Prob. 6.54QCh. 6 - Prob. 6.55QCh. 6 - Prob. 6.56QCh. 6 - Prob. 6.57QCh. 6 - Prob. 6.58QCh. 6 - Prob. 6.59QCh. 6 - Prob. 6.60QCh. 6 - Prob. 6.61QCh. 6 - Prob. 6.62QCh. 6 - Prob. 6.63QCh. 6 - Prob. 6.64QCh. 6 - Prob. 6.65QCh. 6 - Prob. 6.66QCh. 6 - Prob. 6.67QCh. 6 - Prob. 6.68QCh. 6 - Prob. 6.69QCh. 6 - Prob. 6.70QCh. 6 - Prob. 6.71QCh. 6 - Prob. 6.72QCh. 6 - Prob. 6.73PCh. 6 - Prob. 6.74PCh. 6 - Prob. 6.75PCh. 6 - Prob. 6.76PCh. 6 - Prob. 6.77PCh. 6 - Prob. 6.78PCh. 6 - Prob. 6.79PCh. 6 - Prob. 6.80PCh. 6 - Prob. 6.81PCh. 6 - Prob. 6.82PCh. 6 - Prob. 6.83PCh. 6 - Prob. 6.84PCh. 6 - Prob. 6.85PCh. 6 - Prob. 6.86PCh. 6 - Prob. 6.87PCh. 6 - Prob. 6.88PCh. 6 - Prob. 6.89PCh. 6 - Prob. 6.90PCh. 6 - Prob. 6.91PCh. 6 - Prob. 6.92PCh. 6 - Prob. 6.93PCh. 6 - Prob. 6.94PCh. 6 - Prob. 6.95PCh. 6 - Prob. 6.96PCh. 6 - Prob. 6.97PCh. 6 - Prob. 6.98PCh. 6 - Prob. 6.99PCh. 6 - Prob. 6.100PCh. 6 - Prob. 6.101PCh. 6 - Prob. 6.102PCh. 6 - Prob. 6.103PCh. 6 - Prob. 6.104PCh. 6 - Prob. 6.105PCh. 6 - Prob. 6.106PCh. 6 - Prob. 6.107PCh. 6 - Prob. 6.108PCh. 6 - Prob. 6.109PCh. 6 - Prob. 6.110PCh. 6 - Prob. 6.111PCh. 6 - Prob. 6.112PCh. 6 - Prob. 6.113PCh. 6 - Prob. 6.114PCh. 6 - Prob. 6.115PCh. 6 - Prob. 6.116PCh. 6 - Prob. 6.117PCh. 6 - Prob. 6.118PCh. 6 - Prob. 6.119PCh. 6 - Prob. 6.120PCh. 6 - Prob. 6.121PCh. 6 - Prob. 6.122PCh. 6 - Prob. 6.123PCh. 6 - Prob. 6.124PCh. 6 - Prob. 6.125PCh. 6 - Prob. 6.126PCh. 6 - Prob. 6.127PCh. 6 - Prob. 6.128PCh. 6 - Prob. 6.129PCh. 6 - Prob. 6.130PCh. 6 - Prob. 6.131PCh. 6 - Prob. 6.132PCh. 6 - Prob. 6.133PCh. 6 - Prob. 6.134PCh. 6 - Prob. 6.135PCh. 6 - Prob. 6.136PCh. 6 - Prob. 6.137PCh. 6 - Prob. 6.138PCh. 6 - Prob. 6.139PCh. 6 - Prob. 6.140PCh. 6 - Prob. 6.142DCh. 6 - Prob. 6.143DCh. 6 - Prob. 6.144DCh. 6 - Prob. 6.145DCh. 6 - Prob. 6.146DCh. 6 - Prob. 6.147DCh. 6 - Prob. 6.149D
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- 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.arrow_forwardFor some metal alloy, a true stress 345 MPa (50040 psi) produces a plastic true strain of 0.02. How much will a specimen of this material elongate when a true stress of 418 MPa (60630 psi) is applied if the original length is 500 mm (19.69in) ? Assume a value of 0.22 for the strain- hardening exponent, narrow_forwardA strip of metal is originally 5 m long. It is stretched in 3 steps: first to a length of 6 m, then to 7 m and finally to 8 m. The original cross section area of the metal strip is 40 mm?. Compute the final cross section and find the percentage reduction in area due to the above stretching process. Also calculate the force required for the final stage of stretching, assuming that the true stress true strain relation for the material is given as o = 700 0.48 MPa. 5 (c)arrow_forward
- A wire is drawn through a draw die with an entry angle = 15o. The starting diameter is 0.100 in. And the final diameter = 0.080 in. The coefficient of friction at the work-given interface = 0.07. The metal has a coefficient of resistance K = 30,000 psi and a strain hardening exponent of n = 0.20. Determine the stretching force and the stretching force in this operation.arrow_forwardIn open-die forging, a disc of diameter 200 mm and height 60 mm is compressed without any barreling effect. The final diameter of the disc is 400 mm. The true strain isarrow_forwardWhat are the fundamental problems in Shear stress?arrow_forward
- Wire is drawn through a draw die with entrance angle a= 17°. Starting diameter is 3.0 mm and final diameter = 2.4 mm. The coefficient of friction at the work-die interface = 0.08. The metal has a strength coefficient K = 205 MPa and a strain-hardening exponent n = draw force in this operation. Why are multiple passes usually required to achieve the desired reduction? (Hint: Observe the draw stress value found in this question) 0.20. Determine the draw stress and Lubricant box Initial wire stock (in coil form) Multiple pass/draft drawing Draw die V2, F V3, F shown in figure. Capstan drum (holds multiple loops of wire) (1) (2) (3)arrow_forward"The maximum principal stress yield criterion is an appropriate choice for ductile materials but the maximum principal strain criterion is preferable". Is this true or false?arrow_forwardA force of 1100 KN is applied to punch a 40-mm-diameter hole in a plate. If the shear strength is limited to 700MPa then what thickness of the plate is required?arrow_forward
- Two high rolling mill setup has been used to reduce the thickness of a plate from 40 mm at the maximum draft per pass to become 34 mm after the last pass. The width of the rolled material is 560 mm and the roll diameter is 560 mm. The material has a strength coefficient of 260 MPa and a strain hardening exponent of 0.18. The coefficient of friction during the process was 0.085. Determine the following: 1- Number of passes required to perform the reduction process = 2- Strain of the last pass = 3- Average flow stress of the last pass = MPa 4- The rolling force to roll the last pass =arrow_forwardWrite out the most general expression for shear strain along a single axis resulting from all possible applied stresses, assuming that the material is elastically isotropic.arrow_forwardHow can the principal normal strains and maximum in-plane shear strain be determined?arrow_forward
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