Show that the following function may be used as an Airy stress function $ = Ar? + Ba?y+ Cry Evaluate A, B and C for the rectangle shown in Figure Q3: (1) there are no external loads for any kind applied along KN; (2) along KL there is a uniform normal load p; (3) and along MN there is no normal load; (4) along KL, LM and MN there are shear stresses (but none along KN). Make a neat sketch of the stresses along the boundary KLMN. y N M Thickness=1 b p per unit length a a

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Question 3
Show that the following function o may be used as an Airy stress function
$ = Ax? + Ba²y+ Cry
Evaluate A, B and C for the rectangle shown in Figure Q3:
(1) there are no external loads for any kind applied along KN;
(2) along KL there is a uniform normal load p;
(3) and along MN there is no normal load;
(4) along KL, LM and MN there are shear stresses (but none along KN).
Make a neat sketch of the stresses along the boundary KLMN.
y
N
M
Thickness=1
b
p per unit length
a
Transcribed Image Text:Question 3 Show that the following function o may be used as an Airy stress function $ = Ax? + Ba²y+ Cry Evaluate A, B and C for the rectangle shown in Figure Q3: (1) there are no external loads for any kind applied along KN; (2) along KL there is a uniform normal load p; (3) and along MN there is no normal load; (4) along KL, LM and MN there are shear stresses (but none along KN). Make a neat sketch of the stresses along the boundary KLMN. y N M Thickness=1 b p per unit length a
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