Consider a one-element triangularmesh shown in Figure 2. The edge ACis fixed. The edge BC is subject to lin-early varying traction normal to theedge as shown in Figure 2. Assumeplane-stress conditions with thickness1 = 1 cm and Young's modulus E =70 GPa and Poisson's ratio v = 0.3.150 kN/m50 kN/mC (0,0.3)B (0.4,0.3)a) Specify the boundary condi-tions.b) Construct the stiffness matrix.A (0,0)c) Calculate the global force ma-Figure 2: Triangular element. All coordinates arein meters.trix.d) Solve for the unknown displace-ments and compute the stress at(0.1, 0.2).

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Consider a one-element triangular mesh shown in Figure 2. The edge AC is fixed. The edge BC is subject to lin- early varying traction normal to the edge as shown in Figure 2. Assume plane-stress conditions with thickness t = 1 cm and Young's modulus E = 70 GPa and Poisson's ratio v=0.3. a) Specify the boundary condi- tions. b) Construct the stiffness matrix. c) Calculate the global force ma- trix. d) Solve for the unknown displace- ments and compute the stress at (0.1,0.2). 50 kN/m C (0,0.3) 150 kN/m B (0.4,0.3) A (0,0) Figure 2: Triangular element. All coordinates are in meters.

Consider a one-element triangular mesh shown in Figure 2. The edge AC is fixed. The edge BC is subject to lin- early varying traction normal to the edge as shown in Figure 2. Assume plane-stress conditions with thickness t = 1 cm and Young's modulus E = 70 GPa and Poisson's ratio v=0.3. a) Specify the boundary condi- tions. b) Construct the stiffness matrix. c) Calculate the global force ma- trix. d) Solve for the unknown displace- ments and compute the stress at (0.1,0.2). 50 kN/m C (0,0.3) 150 kN/m B (0.4,0.3) A (0,0) Figure 2: Triangular element. All coordinates are in meters.

Elements Of Electromagnetics

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Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Thermal Properties of Materials

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Question

Consider a one-element triangular
mesh shown in Figure 2. The edge AC
is fixed. The edge BC is subject to lin-
early varying traction normal to the
edge as shown in Figure 2. Assume
plane-stress conditions with thickness
1 = 1 cm and Young's modulus E =
70 GPa and Poisson's ratio v = 0.3.
150 kN/m
50 kN/m
C (0,0.3)
B (0.4,0.3)
a) Specify the boundary condi-
tions.
b) Construct the stiffness matrix.
A (0,0)
c) Calculate the global force ma-
Figure 2: Triangular element. All coordinates are
in meters.
trix.
d) Solve for the unknown displace-
ments and compute the stress at
(0.1, 0.2).

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