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Shear and Moment EquationsPowerPoint Presentation

Shear and Moment Equations

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Shear and Moment Equations

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1 kip/ft

x

20 feet

10 kip

10 kip

V(x) = ?

10

V (kip)

-10

1 kip/ft

x

20 feet

10 kip

10 kip

V(x) = mx + b

10

V (kip)

-10

1 kip/ft

x

20 feet

10 kip

10 kip

V(x) = -1kip/ft x + 10 kip

10

V (kip)

-10

1 kip/ft

20 feet

x

x

V(x) = -1kip/ft x + 10 kip

10 kip

10 kip

10

50

M (kip-ft)

V (kip)

M(x) = ?

-10

1 kip/ft

20 feet

x

x

V(x) = -1kip/ft x + 10 kip

10 kip

10 kip

10

50

M (kip-ft)

V (kip)

M(x) = ∫ V(x)

-10

1 kip/ft

20 feet

x

x

V(x) = -1kip/ft x + 10 kip

10 kip

10 kip

10

50

M (kip-ft)

V (kip)

M(x) = ∫-1kip/ft x + 10 kip

-10

1 kip/ft

20 feet

x

x

V(x) = -1kip/ft x + 10 kip

10 kip

10 kip

10

50

M(0) = 0

M (kip-ft)

V (kip)

1

kip

2

M(x)= - x + 10 kip x + C

2

ft

-10

1 kip/ft

20 feet

x

x

V(x) = -1kip/ft x + 10 kip

10 kip

10 kip

10

50

M(0) = 0

M (kip-ft)

V (kip)

1

kip

2

M(x)= - x + 10 kip x

2

ft

-10