The nodal coordinates and the nodal displacements for some plane stress elastic element is listed in the following problem. The element is 0.1 m thick. The coordinates and displacements are given in meters. (a) Calculate K(1,1) of the element stiffness matrix (b) Calculate the element stress 01 16 0 (N/m²) 6] [16 4 D = 106 4 1 N =(a, + bịx + 1y) 2A 1 N2 = (az + bzx + czy) 2A 1 N3 = (az + b3x + C3y) 2A bị = y2 - y3 %3D C1 = X3 - X2 C2 = x1 - X3 C3 = X2 - X1 a1 = x2y3 – x3Y2 %3D b2 = y3 - Yı %3D a2 = X3y1 – X1Y3 %3D az = X1y2 - X2y1 b3 = y1 - Y2 X2 = 1 Y2 = 1 v2 = 0.001 X1 = 2 X3 = 1 Y1 = 2 U1 = 0.003 Y3 = 0 Uz = 0.0015 V1 = 0 v2 = -0.003 Vz = 0.0 %3D

The nodal coordinates and the nodal displacements for some plane stress elastic element is listed in the following problem. The element is 0.1 m thick. The coordinates and displacements are given in meters. (a) Calculate K(1,1) of the element stiffness matrix (b) Calculate the element stress 01 16 0 (N/m²) 6] [16 4 D = 106 4 1 N =(a, + bịx + 1y) 2A 1 N2 = (az + bzx + czy) 2A 1 N3 = (az + b3x + C3y) 2A bị = y2 - y3 %3D C1 = X3 - X2 C2 = x1 - X3 C3 = X2 - X1 a1 = x2y3 – x3Y2 %3D b2 = y3 - Yı %3D a2 = X3y1 – X1Y3 %3D az = X1y2 - X2y1 b3 = y1 - Y2 X2 = 1 Y2 = 1 v2 = 0.001 X1 = 2 X3 = 1 Y1 = 2 U1 = 0.003 Y3 = 0 Uz = 0.0015 V1 = 0 v2 = -0.003 Vz = 0.0 %3D

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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