A X1 1 m В W 1 м -X2

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Consider a beam supported by a pin and at A and roller at B subjected to uniform distributed load
w=300 N/m. If the expression of elastic curve for coordinates x1 and x2 are written as follow:
V₁00=1/El [ax³+ Clx+ C2]
V₂ (x)=1/El (bx4 + C3x + C4]
Determine the reactions at the supports, the expressions of internal bending moments and the
constants C1, C2, C3 and C4.
By =
M1 =>
M2-
CL=
(2-
150 downward 100 downward 100 upward
250 upward 500 downward
450 upward
-50x
-150 x^2
-150x
-50 x
-50 50 25
16.67 8.33 0
1m
100-80 50
-50 x^2
-100 x^2
-16,67 -68.7 -87.5
W
1m
Transcribed Image Text:Consider a beam supported by a pin and at A and roller at B subjected to uniform distributed load w=300 N/m. If the expression of elastic curve for coordinates x1 and x2 are written as follow: V₁00=1/El [ax³+ Clx+ C2] V₂ (x)=1/El (bx4 + C3x + C4] Determine the reactions at the supports, the expressions of internal bending moments and the constants C1, C2, C3 and C4. By = M1 => M2- CL= (2- 150 downward 100 downward 100 upward 250 upward 500 downward 450 upward -50x -150 x^2 -150x -50 x -50 50 25 16.67 8.33 0 1m 100-80 50 -50 x^2 -100 x^2 -16,67 -68.7 -87.5 W 1m
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