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Q3. A load, P, is applied at both ends of a column of length L. The second order differential equation Ely" + Py=0 gives the relationship between the deflection y and the distance x. Show that if y = e (eccentricity) at both x = L/2 and x = -L/2 then displacement is given by where k = √P/EI. y e sec kL (22) 0 cos(kx)

Q3. A load, P, is applied at both ends of a column of length L. The second order differential equation Ely" + Py=0 gives the relationship between the deflection y and the distance x. Show that if y = e (eccentricity) at both x = L/2 and x = -L/2 then displacement is given by where k = √P/EI. y e sec kL (22) 0 cos(kx)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q3. A load, P, is applied at both ends of a column of length L. The second order differential equation Ely" + Py = 0 gives the relationship between the deflection y and the distance x. Show that if y = e (eccentricity) at both x = L/2 and x = -L/2 then displacement is given by where k √P/EI. y e sec kL (1/2) cos(kx)
Transcribed Image Text:Q3. A load, P, is applied at both ends of a column of length L. The second order differential equation Ely" + Py = 0 gives the relationship between the deflection y and the distance x. Show that if y = e (eccentricity) at both x = L/2 and x = -L/2 then displacement is given by where k √P/EI. y e sec kL (1/2) cos(kx)
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