For the given beam with shown loading, determine the reaction at the ro. support. 20 kips/ft B A

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Show detailed solution refer to the table of equations.
For the given beam with shown loading, determine the reaction at the roller
support.
20 kips/ft
C
B
A
- 4 ft -
- 4 ft -
Transcribed Image Text:For the given beam with shown loading, determine the reaction at the roller support. 20 kips/ft C B A - 4 ft - - 4 ft -
Table of Equations
Loading Configuration
Deflection
B
Px
A
y =Ze (x - 3L)
6EI
(Px2
(x- 3a) 0 sIsa
6EI
y =
Ра?
A
(a - 3x) a<x <L
-6EI
Wo
B
A.
y =E(-6L? + 4Lx – x2)
24EI
L.
Luduing Contiguration
Deflection
Wo
(Wox?
FAE
B
(-6a? + 4ax - x²) 0Sxsa
24EI
A
y =
Wa
24E (a - 4x)
asxSL
Wo
Wex?
у
120LEI-10L + 10Lx – 5Lx + x)
B
120LEI
L.
B
Px
y =
48EI
;(4x² – 32") 0sxs;
Pbx
B
61. ET -L + x² + b?)
A
y =
Pb
lEL ET(*- a)' - (L² – b²)x + x* asxsL
L.
Wo
y =
y =AR(-L' + 2Lx? - x)
24EI
mim
y
B
U -a'(a - 21.) - 2a(a – 21.)x? – Lx'] 0 sxsa
24L EI
Wea?
241 EI (L- x)(a² – 4Lx + 2x?)
a sxSL
24L EI
Wo
B
y =
360L EI
y= 360L EI-7L' + 10L?x? – 3x*)
Transcribed Image Text:Table of Equations Loading Configuration Deflection B Px A y =Ze (x - 3L) 6EI (Px2 (x- 3a) 0 sIsa 6EI y = Ра? A (a - 3x) a<x <L -6EI Wo B A. y =E(-6L? + 4Lx – x2) 24EI L. Luduing Contiguration Deflection Wo (Wox? FAE B (-6a? + 4ax - x²) 0Sxsa 24EI A y = Wa 24E (a - 4x) asxSL Wo Wex? у 120LEI-10L + 10Lx – 5Lx + x) B 120LEI L. B Px y = 48EI ;(4x² – 32") 0sxs; Pbx B 61. ET -L + x² + b?) A y = Pb lEL ET(*- a)' - (L² – b²)x + x* asxsL L. Wo y = y =AR(-L' + 2Lx? - x) 24EI mim y B U -a'(a - 21.) - 2a(a – 21.)x? – Lx'] 0 sxsa 24L EI Wea? 241 EI (L- x)(a² – 4Lx + 2x?) a sxSL 24L EI Wo B y = 360L EI y= 360L EI-7L' + 10L?x? – 3x*)
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