Concept explainers
The expression for extrusion pressure.
Explanation of Solution
The figure (1) demonstrate the forces on the specimen in a wire drawing process.
Figure (1)
The expression for the equilibrium in x direction can be given as,
Here, pressure along the die contact is
After expanding the above equation,
Further solving the above equation,
Expression for pressure
Substituting the value of
Integration of equation (2) for boundary condition
Simplifying the above equation,
The expression for the ratio of area,
Substituting the above value in the equation (3),
For,
Conclusion:
Therefore, the equation is
Want to see more full solutions like this?
Chapter 6 Solutions
EBK MANUFACTURING PROCESSES FOR ENGINEE
- A 3in long and 1in diameter billet is extruded in a direct extrusion operation with an rx = 4.0. The extrusion has a cross section. The angle of the die (half angle) is 90o. The work metal has a resistance coefficient of 60ksi and a strain hardening exponent of 0.18. Use Johnston's formula with a = 0.8 and b = 1.5 to estimate the extrusion stress. Determine the pressure applied to the end of the billet when the piston moves forward.arrow_forwardWhat is Transverse Shear?arrow_forwardA stainless steel part is blanked from a larger sheet (0.5m wide, 1.0m long, 0.004m thick). Determine the tonnage (force) requirement for the blanking operation if the material shear strength is 600 MPa.arrow_forward
- Q#1: (a) Explain the advantage of corner radii of punch and die in Sheet Metal Drawing Process. (b) Explain the disadvantages of Tube Drawing process in which mandrel is not used.arrow_forwardQ#3:(b) Explain the differences between Forward Extrusion and Reverse Extrusion processesarrow_forwardIn a sheet metal forming press, the shape to be formed is hemispherical cup of radius 15 cm in 2mm thick mild steel sheet. The force required to deform sheet is 8 kN. The forming hammer should approach job from a distance of 30 cm. The production rate required is 240 components/hr. Calculate and suggest the following specifications of the various hydraulic components used: a. Hydraulic cylinder (bore & length); b. Pump pressure and flow rate; c. Electric motor HP considering 75% pump efficiency; d. Reservoir size; and e. Size of pump inlet and discharge tubing.arrow_forward
- 1. The friction in direct extrusion is ________ Indirect extrusion. a) Greater than. b) Equal to. c) Less than.2. The Temperature in hot forming process is ____. a) (0 to 0.4) Tm. b) (0.5 to 0.75) Tm. c) 0.9 Tm. d) 0.4 Tm. e) 0.8 Tm. f) (0.3 to 0.5) Tm. Where Tm is the melting temperature of the work piece.3. Maximum draft in rolling depends on _______. a) Coefficient of friction and roll radius. b) Thickness of plate. c) Smoothness of roll Surface. d) Roll rotational speed.e) Width of the plate. f) Length of the plate.4. In deep drawing process, the drawing ratio (DR) has a higher limit (value) of:- a) 6. b) 1. c) 4. d) 5. e) 7. f) 2. g) Zero.5. Spring Back is a phenomena usually associated with which of the following processes:-a) Extrusion. b) Forging. c) Bending. d) Wire drawing. e) Rolling. f) Sheet metal cutting. g) Deep Drawing.arrow_forwardIn a slab rolling operation, the maximum thickness reduction (del hmax) is given by del hmax = μ²R, where R is the radius of the roll and u is the coefficient of friction between the roll and the sheet. If µ = 0.1, find the maximum angle subtended by the deformation zone at the centre of the roll.arrow_forwardWhy single shear strength is greater than double shear?arrow_forward
- In a rolling mill, the rollers can exert a pressure of 219 MPa on the sheet being rolled. If the friction coefficient between the roller and the sheet metal is 0.35 and the flow stress of the steel being rolled is 120 MPa, what diameter rolls would reduce the thickness of 2mm thick sheet by 25% in a single pass?arrow_forwardThe maximum possible draft in rolling which is the difference between initial and final thickness of the sheet metal, depends on A. Rolling force B. Roll radius C. Roll width D. Yield shear stress of the materialarrow_forwardQ26. Compare any ten major differences between Drawing process and Extrusion processarrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY