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README.md

@@ -1 +1,55 @@
 # ME 3255 Final Project
+
+## Part A
+Central finite difference approximation for gradient of 3x3 interior nodes of w.
+```matlab
+[w] = membrane_solution3(T,P);
+```
+
+## Part B
+T = 0.006 uN/um
+P = 0.001 MPa
+```matlab
+[w] = membrane_solution3(0.006,0.001);
+```
+
+
+
+## Part C
+General central finite difference approximation for gradient
+of nxn interior nodes of w.
+```matlab
+[w] = membrane_solution(T,P,n)
+```
+
+## Part D
+- T = 0.006 uN/um
+- P = 0.001 MPa
+- n = 10 nodes
+```matlab
+[w] = membrane_solution(0.006,0.001,10)
+```
+
+## Part E
+Function that calculates the difference in the strain energy and the work done by pressure for n-by-n elements.
+```matlab
+[pw_se,w] = SE_diff(T,P,n)
+```
+
+
+## Part F
+Root-finding Method used to find tension in the Membrane, given:
+- P = 0.001 MPa
+- n = [20:5:40]
+
+Error
+|number of nodes | Tension (uN/um) | rel. error|
+|---|---|---|
+|3 |0.059 |n/a|
+|20|0.0618|4.5%|
+|25|0.0616|0.3%|
+|30|0.0614|0.3%|
+|40|0.0611|0.3%|
+
+## Part G
+Pressure