Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 6.13, Problem 60AAP
a)
To determine
The percent of cold work has to be determined.
b)
To determine
Tensile strength, yield strength, and elongation have to be estimated.
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A 20 foot long x 4 feet wide x ½ inch thick sheet of an aluminum alloy is cold rolled to a thickness of ¼ inch. During the rolling operation the with of the sheet increases by 10%. The strength coefficient (K) and the strain hardening coefficient (n ) for the aluminum alloy are 25,500 psi and 0.3, respectively
Calculate the true strain at the end of the rolling process.
A 20 foot long x 4 feet wide x ½ inch thick sheet of an aluminum alloy is cold rolled to a thickness of ¼ inch. During the rolling operation the with of the sheet increases by 10%. The strength coefficient (K) and the strain hardening coefficient (n ) for the aluminum alloy are 25,500 psi and 0.3, respectively.
Calculate the length of the sheet after the rolling operation in feet.
5) A steel specimen of rectangular cross section with 120 mm width, 180 mm
thickness and 90 mm height was upset at room temperature by open-die forging to
a height of 55 mm. If the strength coefficient and strain hardening exponent of this
material were 1015 MPa and 0.17 respectively, the coefficient of friction is 0.2, and
assuming that the thickness would not change during forging; determine the
required upsetting force at the end of stroke.
Chapter 6 Solutions
Foundations of Materials Science and Engineering
Ch. 6.13 - (a) How are metal alloys made by the casting...Ch. 6.13 - Why are cast metal sheet ingots hot-rolled first...Ch. 6.13 - What type of heat treatment is given to the rolled...Ch. 6.13 - Describe and illustrate the following types of...Ch. 6.13 - Describe the forging process. What is the...Ch. 6.13 - What is the difference between open-die and...Ch. 6.13 - Describe the wire-drawing process. Why is it...Ch. 6.13 - Distinguish between elastic and plastic...Ch. 6.13 - Define (a) engineering stress and strain and (b)...Ch. 6.13 - Define (a) modulus of elasticity, (b) yield...
Ch. 6.13 - (a) Define the hardness of a metal. (b) How is the...Ch. 6.13 - What types of indenters are used in (a) the...Ch. 6.13 - What are slipbands and slip lines? What causes the...Ch. 6.13 - Describe the slip mechanism that enables a metal...Ch. 6.13 - (a) Why does slip in metals usually take place on...Ch. 6.13 - Prob. 16KCPCh. 6.13 - What other types of slip planes are important...Ch. 6.13 - Define the critical resolved shear stress for a...Ch. 6.13 - Describe the deformation twinning process that...Ch. 6.13 - What is the difference between the slip and...Ch. 6.13 - Prob. 21KCPCh. 6.13 - Prob. 22KCPCh. 6.13 - What experimental evidence shows that grain...Ch. 6.13 - (a) Describe the grain shape changes that occur...Ch. 6.13 - How is the ductility of a metal normally affected...Ch. 6.13 - (a) What is solid-solution strengthening? Describe...Ch. 6.13 - What are the three main metallurgical stages that...Ch. 6.13 - Describe the microstructure of a heavily...Ch. 6.13 - Describe what occurs microscopically when a...Ch. 6.13 - When a cold-worked metal is heated into the...Ch. 6.13 - Describe what occurs microscopically when a...Ch. 6.13 - When a cold-worked metal is heated into the...Ch. 6.13 - Prob. 33KCPCh. 6.13 - Prob. 34KCPCh. 6.13 - Prob. 35KCPCh. 6.13 - Prob. 36KCPCh. 6.13 - Prob. 37KCPCh. 6.13 - Why are nanocrystalline materials stronger? Answer...Ch. 6.13 - A 70% Cu30% Zn brass sheet is 0.0955 cm thick and...Ch. 6.13 - A sheet of aluminum alloy is cold-rolled 30% to a...Ch. 6.13 - Calculate the percent cold reduction when an...Ch. 6.13 - Prob. 42AAPCh. 6.13 - What is the relationship between engineering...Ch. 6.13 - A tensile specimen of cartridge brass sheet has a...Ch. 6.13 - A 0.505-in.-diameter rod of an aluminum alloy is...Ch. 6.13 - In Figure 6.23, estimate the toughness of SAE 1340...Ch. 6.13 - The following engineering stress-strain data were...Ch. 6.13 - Prob. 49AAPCh. 6.13 - A 0.505-in.-diameter aluminum alloy test bar is...Ch. 6.13 - A 20-cm-long rod with a diameter of 0.250 cm is...Ch. 6.13 - Prob. 52AAPCh. 6.13 - Prob. 53AAPCh. 6.13 - Prob. 54AAPCh. 6.13 - Prob. 55AAPCh. 6.13 - Prob. 56AAPCh. 6.13 - A specimen of commercially pure titanium has a...Ch. 6.13 - Prob. 58AAPCh. 6.13 - Prob. 59AAPCh. 6.13 - Prob. 60AAPCh. 6.13 - Prob. 61AAPCh. 6.13 - Prob. 62AAPCh. 6.13 - Prob. 63AAPCh. 6.13 - Prob. 64AAPCh. 6.13 - Prob. 65SEPCh. 6.13 - Prob. 66SEPCh. 6.13 - A 20-mm-diameter, 350-mm-long rod made of an...Ch. 6.13 - Prob. 68SEPCh. 6.13 - Prob. 69SEPCh. 6.13 - Consider casting a cube and a sphere on the same...Ch. 6.13 - When manufacturing complex shapes using cold...Ch. 6.13 - Prob. 74SEPCh. 6.13 - Draw a generic engineering stress-strain diagram...Ch. 6.13 - (a) Draw a generic engineering stress-strain...Ch. 6.13 - Prob. 77SEPCh. 6.13 - Prob. 78SEPCh. 6.13 - Prob. 79SEPCh. 6.13 - The material for a rod of cross-sectional area...Ch. 6.13 - What do E, G, v, Ur, and toughness tell you about...Ch. 6.13 - A cylindrical component is loaded in tension until...Ch. 6.13 - Referring to Figures 6.20 and 6.21 (read the...Ch. 6.13 - (a) Show, using the definition of the Poissons...Ch. 6.13 - A one-inch cube of tempered stainless steel (alloy...Ch. 6.13 - Prob. 87SEPCh. 6.13 - Prob. 88SEPCh. 6.13 - Prob. 89SEPCh. 6.13 - Prob. 90SEPCh. 6.13 - Prob. 91SEPCh. 6.13 - Prob. 92SEPCh. 6.13 - Prob. 93SEPCh. 6.13 - Prob. 94SEPCh. 6.13 - Starting with a 2-in.-diameter rod of brass, we...Ch. 6.13 - Prob. 96SEPCh. 6.13 - Prob. 97SEPCh. 6.13 - Prob. 98SEPCh. 6.13 - The cupro-nickel substitutional solid solution...Ch. 6.13 - Prob. 100SEP
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- A cylindrical brass rod with a minimum tensile strength of 450 MPa, a ductility of at least 13% EL (elongation), and a final diameter of 12.7mm is required. You have in your inventory some 19.0mm diameter brass stock that has been cold worked to 35%. Assuming that the cross section of the rod is still circular after being cold worked, and that brass experiences cracking at 65% CW, describe the necessary working steps in order to achieve the final product. Take the expression for % cold work to be = (Ao - Af)/ Ao x 100%, where Ao and Af are the original and final circular cross-sectional areas of the rod.arrow_forwardA metal sample on a tension in the test, , a tensile true strain 0.08, and true stress when the strain is 0.27. Determine the strength coefficient and strain hardening exponent in the flow curve equation.arrow_forwardExample: Consider a metal whose strain hardening behavior follows: 25,000 0.25 psi. If an annealed bar of this metal is pulled in a tension test from a starting dia. of 12.7mm to a dia. of 11.5mm (uniform elongation, no friction, no distortion), what is the work per unit volume required? If the bar is reduced by extruding and the deformation efficiency is 70%, what is the extrusion pressure?arrow_forward
- b) A metal wire is cold drawn from a radius of 5.75 mm to a radius of 3.25 mm. Compute the percent of the cold reduction in this process. (Ans: 68.05% c) A certain metal has a modulus of elasticity of 115 GPa, and its plastic deformation begins at a stress of 275 MPa. Calculate the maximum elongation to which it can be stretched without plastic deformation, if the metal has a length of 120 mm.arrow_forwardA long, copper strip, 500 mm wide, 3 mm thick, was found to have 450 MPa yield stress. The strip is required to be rolled in order to reduce its thickness. In the rolling process, the width remains practically unchanged while the rolls apply pressure in the thickness direction. An additional tension of 150 kN is applied in the longitudinal direction to assist the forming process. Ignoring the change in the width and any friction effects, determine what roll pressure would just cause deformation: according to the Von Mises yield criterion. according to the Tresca yield criterion. Material properties in the elastic range: E=75 GPa, v=0.4. (a) (b)arrow_forwardDetermine the minimum tonnage press to perform the blanking and punching operation in Problem 8. The aluminum sheet metal has a tensile strength = 310 MPa, a strength coefficient of 350 MPa, and a strain-hardening exponent of 0.12. (a) Assume that blanking and punching occur simultaneously. (b) Assume the punches are staggered so that punching occurs first, then blankingarrow_forward
- A sheet of aluminium alloy is reduced in thickness by 25% following a rolling operation. Tensile test specimens were cut from the sheet before and after rolling. Sketch the tensile test curves for both specimens, making reference to the differences if any, in Young’s modulus, the elastic limit and the level of ductilityarrow_forward3. The bent-up profile of the sheet with a thickness of h - 3.00 mm is shown below. Calculate Ryand ay after springback at a - 90' bent-up location for: %3! (a) Annealed leaded brass with E 130 GPa and Y = 165 MPa, and (b) 6061-T6 aluminium alloy with E = 72 GPa and Y= 330 MPa. %3D Assuming Ws = (the length of bend) + 40 mm, estimate the bending force required at a = 90° bent-up location for: (c) Annealed leaded brass with UTS - 270 MPa, and (d) 6061-T6 aluminium alloy with UTS = 390 MPa. %3D RIO 45 R3 h- 50 mm I- 20arrow_forwardQuestion-2 If it takes 12.0 min to 50% recrystallize a piece of high-purity copper sheet at 140°C and 200 min at 88°C, how many minutes are required to recrystallize the sheet 50% percent at 100°C? Assume an Arrhenius-type rate behavior.arrow_forward
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