For the simply supported beam with shown loading, determine the deflection at midspan. (El = 750 kips · ft²) 40 kips/ft 40 kips/ft B A 1.5 ft_, 1.5 ft, -4 ft-
For the simply supported beam with shown loading, determine the deflection at midspan. (El = 750 kips · ft²) 40 kips/ft 40 kips/ft B A 1.5 ft_, 1.5 ft, -4 ft-
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Show detailed solution refer to the table of equations.
Transcribed Image Text:For the simply supported beam with shown loading, determine the deflection at
midspan. (EI = 750 kips · ft²)
40 kips/ft
40 kips/ft
В
A
1.5 ft_,
1.5 ft
-4 ft-
![Table of Equations
Loading Configuration
Deflection
B
Px
A
y =Ze
:(x- 3L)
6EI
(Px2
(x – 3a) 0 sIsa
6EI
Pa?
A(a - 3x) a<xSL
y =
-6EI
Wo
A.
y =E(-6L? + 4Lx – x2)
24EI
Luduing Contiguration
Deflection
Wo
B
(Wox?
(-6a? + 4ax - x2) 0Sxsa
24EI
FAE
A
y =
W,a
24E (a - 4x)
asxSL
B
120LEI-10L + 10Lx – 5Lx + x)
120LEI
y =
L.
B
Px
y =E (4x – 312) 0sxs
48EI
Pbx
B
61. ET -L2 + x² + b²)
A
y =
lEL ET(*- a)' - (L² – b²)x + x* asxsL
Pb-
L.
Wo
y = (-L' + 2Lx? - x)
24EI
y
B
U -a'(a - 21.)2 - 2a(a – 21.)x? – Lx'] 0 sxsa
24L EI
Wea?
241. EI (L- x)(a² – 4Lx + 2x)
a sxSL
24L EI
Wo
y =
360L EI
y= 360L EI-7L' + 10L?x? – 3x*)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f5572ba-44dc-4763-838b-a179ea7fa1de%2F03eed5ec-c809-422e-b57f-b17d996f92a9%2Fmoo99m5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Table of Equations
Loading Configuration
Deflection
B
Px
A
y =Ze
:(x- 3L)
6EI
(Px2
(x – 3a) 0 sIsa
6EI
Pa?
A(a - 3x) a<xSL
y =
-6EI
Wo
A.
y =E(-6L? + 4Lx – x2)
24EI
Luduing Contiguration
Deflection
Wo
B
(Wox?
(-6a? + 4ax - x2) 0Sxsa
24EI
FAE
A
y =
W,a
24E (a - 4x)
asxSL
B
120LEI-10L + 10Lx – 5Lx + x)
120LEI
y =
L.
B
Px
y =E (4x – 312) 0sxs
48EI
Pbx
B
61. ET -L2 + x² + b²)
A
y =
lEL ET(*- a)' - (L² – b²)x + x* asxsL
Pb-
L.
Wo
y = (-L' + 2Lx? - x)
24EI
y
B
U -a'(a - 21.)2 - 2a(a – 21.)x? – Lx'] 0 sxsa
24L EI
Wea?
241. EI (L- x)(a² – 4Lx + 2x)
a sxSL
24L EI
Wo
y =
360L EI
y= 360L EI-7L' + 10L?x? – 3x*)
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