Setup:
Case A: forging with dry friction
F=Pressure(avg)*L*w
Avg Pressure is given by the equation on the example graph provided at the end of the question. 
Case B: Forging with Sticking Friction
The final figure should look like this I believe:
Case A Forging under plane strain conditions and dry friction As shown in the figure: L = 100 mm, W = workpiece width (into page) = 500 mm Initial workpiece height: ho = 26 mm Final workpiece height: hf= 20 mm Yield strength model for the material can be described as Y =-350 + 250 (N/mm) You may assume no redundant work You must take into account the effects of friction, coefficient of friction = 0.2 Same parameters as Case A but instead of dry friction, the process is hot forging with sticking friction Forging with Sticking Friction Die pressure with sticking friction p(x) = 1.15Y (1 + ) valid for x=0:1/2 Average die pressure Pavg = 1.15Y (1 + r) A) Write a Matlab program B) Plot the pressure curve on the die from 0 to L for a workpiece height, h, of 26, 24, 22, and 20 mm C) Provide the average pressure on the die at workpiece heights of 26, 24, 22, and 20 mm D) Provide the required compressive force at workpiece heights of 26, 24, 22, and 20 mm E) Provide the maximum pressure on the die at 26, 24, 22, and 20 mm workpiece heights Pressure Distribution Plot p(x) = 1.159 e69x) is valid for x=0:1/2 vu=0.4 u=0.3 u=0.1 0 L/2 L Case A Forging under plane strain conditions and dry friction As shown in the figure: L = 100 mm, W = workpiece width (into page) = 500 mm Initial workpiece height: ho = 26 mm Final workpiece height: hf= 20 mm Yield strength model for the material can be described as Y =-350 + 250 (N/mm) You may assume no redundant work You must take into account the effects of friction, coefficient of friction = 0.2 Same parameters as Case A but instead of dry friction, the process is hot forging with sticking friction Forging with Sticking Friction Die pressure with sticking friction p(x) = 1.15Y (1 + ) valid for x=0:1/2 Average die pressure Pavg = 1.15Y (1 + r) A) Write a Matlab program B) Plot the pressure curve on the die from 0 to L for a workpiece height, h, of 26, 24, 22, and 20 mm C) Provide the average pressure on the die at workpiece heights of 26, 24, 22, and 20 mm D) Provide the required compressive force at workpiece heights of 26, 24, 22, and 20 mm E) Provide the maximum pressure on the die at 26, 24, 22, and 20 mm workpiece heights Pressure Distribution Plot p(x) = 1.159 e69x) is valid for x=0:1/2 vu=0.4 u=0.3 u=0.1 0 L/2 L
