Q1) The stress function (x) for the cantilever beam as shown in the figure is given by: $(x) = ² ( xy³ P(x²-3xy) 8c a) Is (x) a valid airy stress function? Determine the stress field on AC. b) Verify that this stress field meets the boundary conditions where V = c) Verify that the vertical displacement of C is given by PL³ 6E12¹ elastic modulus of the material, and I is the moment of inertia of the rectangular section of the plate. where E is the

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Q1) The stress function (x) for the cantilever beam as shown in the figure is given by:
P
$(x) = (x²-3xy)
—
8c
a) Is (x) a valid airy stress function? Determine the stress field on AC.
b) Verify that this stress field meets the boundary conditions where V =
²
c) Verify that the vertical displacement of C is given by 8 = where E is the
PL³
6E12¹
elastic modulus of the material, and I is the moment of inertia of the
rectangular section of the plate.
с
L
FIG. 1
x
+
Transcribed Image Text:Q1) The stress function (x) for the cantilever beam as shown in the figure is given by: P $(x) = (x²-3xy) — 8c a) Is (x) a valid airy stress function? Determine the stress field on AC. b) Verify that this stress field meets the boundary conditions where V = ² c) Verify that the vertical displacement of C is given by 8 = where E is the PL³ 6E12¹ elastic modulus of the material, and I is the moment of inertia of the rectangular section of the plate. с L FIG. 1 x +
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