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

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1. The triangular cantilever is stressed by self-weight with stress function density P, take the Q=ax³ + bx²y+cxy² +dy³ to obtain the stress components. 90° +a

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

100%

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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