2. A cylindrical part is warm upset forged in an open die22mm. The coefficient a
ID: 2087901 • Letter: 2
Question
2. A cylindrical part is warm upset forged in an open die22mm. The coefficient arm upset forged in an open die. The initial diameter is 45 mm and e height after forging is 22 mm. The coefficient of friction e yield strength of the work material is 285 MPa, and its ethe for coefficient of 600 MPa and a strain-hardening expon at a height of 25tion (a) at a height of 35 mm, (b) at a height of 3 the initial height is 40 mm. The the die-work interface is 0.20. The forgin of 0.12. Determine the force in the at a height of 22 mm.Explanation / Answer
Solution:
V = ?D2 L/4 = ?(45)2(40)/4 = 63,617 mm3
Given
? = 0.002,
Yf = 600(0.002)0.12 = 284.6 MPa, and h = 40 - 40(0.002) = 39.92
A = V/h = 63,617/39.92 = 1594 mm2
Kf = 1 + 0.4(0.2)(45)/39.92 = 1.09
F = 1.09(284.6)(1594) = 494,400 N
(a)
Given h = 35, ? = ln(40/35) = ln 1.143 = 0.1335
Yf = 600(0.1335)0.12 = 471.2 MPa
V = 63,617 mm3 from part above.
At h = 35, A = V/h = 63617/35 = 1818 mm2
Corresponding D = 48.1 mm (from A = ?D2 /4)
Kf = 1 + 0.4(0.2)(48.1)/35 = 1.110
F = 1.110(471.2)(1818) = 950,700 N
(b)
Given h = 30, ? = ln(40/30) = ln 1.333 = 0.2877
Yf = 600(0.2877)0.12 = 516.7 MPa
V = 63,617 mm3 from part above.
At h = 30, A = V/h = 63,617/30 = 2120.6 mm2 Corresponding D = 51.96 mm (from A = ?D2 /4)
Kf = 1 + 0.4(0.2)(51.96)/30 = 1.138
F = 1.138(516.7)(2120.6) = 1,247,536 N
(c)
Given h = 25, ? = ln(40/25) = ln 1.6 = 0.4700
Yf = 600(0.470)0.12 = 548.0 MPa
V = 63,617 mm3 from part above.
At h = 25, A = V/h = 63,617/25 = 2545 mm2
Corresponding D = 56.9 mm (from A = ?D2 /4)
Kf = 1 + 0.4(0.2)(56.9)/25 = 1.182
F = 1.182(548.0)(2545) = 1,649,000 N
(d)
Given h = 22, ? = ln(40/22) = 0.5978
Yf = 600(0.5978)0.12 = 564.07 MPa
V = 63,617 mm3 from part above.
At h = 22, A = V/h = 63,617/22 = 2891.6 mm2
Corresponding D = 60.67 mm (from A = ?D2 /4)
Kf = 1 + 0.4(0.2)(60.67)/22 = 1.024
F = 1.024(564.07)(2891.6) = 1,670,210.3 N
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.