The basic differential equation of the elastic curve for a simply supported, uniformly loaded beam is given as: d²y wLx wx- ... EI where E is the modulus of elasticity and I is the moment of inertia. The boundary conditions are y(0)=y(L)=0. Determine the deflection of the beam at point with maximum deflection using any method if E=200 GPa, l=30,000 cm^4, w=15 kN/m and L=3 m. by considering the equation as shown below: wLx y = wx* wL³x ... 12EI 24 EI 24EI Express your answer (absolute numerical value) in millimeter and up to four decimal digits after the decimal point. The answer is Blank 1 Blank 1 Add your answer

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.11.4P: A simple beam AB of length L and height h (see figure) is heated in such a manner that the...
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The basic differential equation of the elastic curve for a simply supported, uniformly loaded beam is given as:
wLx
wx
...
dx
2
where E is the modulus of elasticity and I is the moment of inertia. The boundary conditions are y(0)=y(L)=0. Determine the
deflection of the beam at point with maximum deflection using any method if E=200 GPa, l=30,000 cm^4, w=15 kN/m and L=3 m. by
considering the equation as shown below:
wLx3
y =
wx+
wL3x
...
12EI
24EI
24EI
Express your answer (absolute numerical value) in millimeter and up to four decimal digits after the decimal point. The answer is
Blank 1
Blank 1
Add your answer
Transcribed Image Text:The basic differential equation of the elastic curve for a simply supported, uniformly loaded beam is given as: wLx wx ... dx 2 where E is the modulus of elasticity and I is the moment of inertia. The boundary conditions are y(0)=y(L)=0. Determine the deflection of the beam at point with maximum deflection using any method if E=200 GPa, l=30,000 cm^4, w=15 kN/m and L=3 m. by considering the equation as shown below: wLx3 y = wx+ wL3x ... 12EI 24EI 24EI Express your answer (absolute numerical value) in millimeter and up to four decimal digits after the decimal point. The answer is Blank 1 Blank 1 Add your answer
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