theory of elasticity 1. The triangular cantilever is stressed by self-weight withdensity P,takethestressfunctionQ = ax³ + bx²y+cxy² + dy³ toobtain the stresscomponents.As knowing in 2D case: V=σr2. In the polar coordinate system, take p = Alnr+Cr², in which A and C are constants. (i) verify canbe used as stress function or not?(ii) if it is, deduce the expressions for stress components.1 8²1 8²p=0r²d0²ap1 0²rdr r²00²1 0+σ08² 1 ə+dr rdra²pər.²+reXo2r²00² or ²0a (1 apar r de1 arora+90° + a

Answered: 1. The triangular cantilever is…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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theory of elasticity

1. The triangular cantilever is stressed by self-weight with
density P,
take
the
stress
function
Q = ax³ + bx²y+cxy² + dy³ to
obtain the stress
components.
As knowing in 2D case: V=
σr
2. In the polar coordinate system, take p = Alnr+Cr², in which A and C are constants. (i) verify can
be used as stress function or not?
(ii) if it is, deduce the expressions for stress components.
1 8²
1 8²
p=0
r²d0²
ap
1 0²
rdr r²00²
1 0
+
σ0
8² 1 ə
+
dr rdr
a²p
ər.²
+
re
Xo
2
r²00² or ²
0
a (1 ap
ar r de
1 a
ror
a
+
90° + a

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