FL The deflection y of the top of a sailboat mast is y = where F is the uniform 8EI side loading (N/m). L is the height (m), E is the modulus of elasticity (N/m2): and I is the moment of inertia (m*). Estimate the error in y given the following data: F = 750 N/m AF = 30 N/m AL = 0.03 m AE = 5 × 107 N /m² AI = 0.000005 mª L = 9 m E = 7.5 x 10° N/m? I = 0.0005 mª

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Subject: Numerical Method and Analysis Lesson: Linear Approximation and Differential
The deflection y of the top of a sailboat mast is y =
FL*
where F is the uniform
8EI
side loading (N/m), L is the height (m), E is the modulus of elasticity (N/m2),
and I is the moment of inertia (m*). Estimate the error in y given the following
data:
F = 750 N/m
AF = 30 N/m
L = 9 m
AL = 0.03 m
E = 7.5 x 10° N/m²
I = 0.0005 m4
AE = 5 x 107 N/m²
AI = 0.000005 mª
Transcribed Image Text:The deflection y of the top of a sailboat mast is y = FL* where F is the uniform 8EI side loading (N/m), L is the height (m), E is the modulus of elasticity (N/m2), and I is the moment of inertia (m*). Estimate the error in y given the following data: F = 750 N/m AF = 30 N/m L = 9 m AL = 0.03 m E = 7.5 x 10° N/m² I = 0.0005 m4 AE = 5 x 107 N/m² AI = 0.000005 mª
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