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2. Plane Strain. A brick has the following initial dimensions: 400 mm deep, 25 mm high, and 100 mm wide. The brick is compressed to 20 mm, and the depth remains approximately the same at 400 mm. If the material is perfectly plastic with Sy = 280 MPa, and the friction coefficient is μ = 0.1. a) Make a sketch of the operation (original and after forging), label the 1-2-3 directions, with 1 being the height of the block. Label dimensions including those you might need to calculate at the final compressed height. b) What is the effective strain when the brick thickness is 20 mm? c) Find the average pressure, Pa, beneath the die. d) What was the force required to compact the brick to 20 mm? e) Sketch the pressure beneath the die. Label the key points on the plot. Add a second line to show what the pressure distribution would be if this was an ideal operation (q: what does ideal mean?) f) Write the expression for the work done to compress the brick to 20 mm. No need to solve for the value. g) What would be the force required to compact the brick to 20 mm if the brick was made from annealed 4135 steel (K = 1015 MPa, n = 0.17) and the friction coefficient is μ = 0.2?

2. Plane Strain. A brick has the following initial dimensions: 400 mm deep, 25 mm high, and 100 mm wide. The brick is compressed to 20 mm, and the depth remains approximately the same at 400 mm. If the material is perfectly plastic with Sy = 280 MPa, and the friction coefficient is μ = 0.1. a) Make a sketch of the operation (original and after forging), label the 1-2-3 directions, with 1 being the height of the block. Label dimensions including those you might need to calculate at the final compressed height. b) What is the effective strain when the brick thickness is 20 mm? c) Find the average pressure, Pa, beneath the die. d) What was the force required to compact the brick to 20 mm? e) Sketch the pressure beneath the die. Label the key points on the plot. Add a second line to show what the pressure distribution would be if this was an ideal operation (q: what does ideal mean?) f) Write the expression for the work done to compress the brick to 20 mm. No need to solve for the value. g) What would be the force required to compact the brick to 20 mm if the brick was made from annealed 4135 steel (K = 1015 MPa, n = 0.17) and the friction coefficient is μ = 0.2?

Elements Of Electromagnetics
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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2. Plane Strain. A brick has the following initial dimensions: 400 mm deep, 25 mm high, and 100 mm wide. The brick is compressed to 20 mm, and the depth remains approximately the same at 400 mm. If the material is perfectly plastic with Sy 280 MPa, and the friction coefficient is μ = 0.1. = a) Make a sketch of the operation (original and after forging), label the 1-2-3 directions, with 1 being the height of the block. Label dimensions including those you might need to calculate at the final compressed height. b) What is the effective strain when the brick thickness is 20 mm? c) Find the average pressure, Pa, beneath the die. d) What was the force required to compact the brick to 20 mm? e) Sketch the pressure beneath the die. Label the key points on the plot. Add a second line to show what the pressure distribution would be if this was an ideal operation (q: what does ideal mean?) f) Write the expression for the work done to compress the brick to 20 mm. No need to solve for the value. g) What would be the force required to compact the brick to 20 mm if the brick was made from annealed 4135 steel (K = 1015 MPa, n = 0.17) and the friction coefficient is μ = 0.2?
Transcribed Image Text:2. Plane Strain. A brick has the following initial dimensions: 400 mm deep, 25 mm high, and 100 mm wide. The brick is compressed to 20 mm, and the depth remains approximately the same at 400 mm. If the material is perfectly plastic with Sy 280 MPa, and the friction coefficient is μ = 0.1. = a) Make a sketch of the operation (original and after forging), label the 1-2-3 directions, with 1 being the height of the block. Label dimensions including those you might need to calculate at the final compressed height. b) What is the effective strain when the brick thickness is 20 mm? c) Find the average pressure, Pa, beneath the die. d) What was the force required to compact the brick to 20 mm? e) Sketch the pressure beneath the die. Label the key points on the plot. Add a second line to show what the pressure distribution would be if this was an ideal operation (q: what does ideal mean?) f) Write the expression for the work done to compress the brick to 20 mm. No need to solve for the value. g) What would be the force required to compact the brick to 20 mm if the brick was made from annealed 4135 steel (K = 1015 MPa, n = 0.17) and the friction coefficient is μ = 0.2?
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