A cantilever beam AB supports a distributed load of peak intensity g. acting over one-half of the length (see figure). (The beam has constant flexural rigidity EI. Use the second-order differential equation of the deflection curve. Enter the magnitudes.)

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A cantilever beam AB supports a distributed load of peak intensity g, acting over one-half of the length (see figure). (The beam has constant flexural rigidity EI. Use the second-order differential equation of the deflection
curve. Enter the magnitudes.)
ly
90
A
C
В
L/2-
L/2
Derive the equations of the deflection curve for the beam. (Use the following as necessary: qo, L, E, I, x.)
Osxs v(x) =
sxsL vx) =
Also, obtain formulas for the deflections 8, and 8. at points B and C, respectively. (Use the following as necessary: 9,, L, E, I.)
7
160
E·I
11 %0 L3
192
E·I
Transcribed Image Text:A cantilever beam AB supports a distributed load of peak intensity g, acting over one-half of the length (see figure). (The beam has constant flexural rigidity EI. Use the second-order differential equation of the deflection curve. Enter the magnitudes.) ly 90 A C В L/2- L/2 Derive the equations of the deflection curve for the beam. (Use the following as necessary: qo, L, E, I, x.) Osxs v(x) = sxsL vx) = Also, obtain formulas for the deflections 8, and 8. at points B and C, respectively. (Use the following as necessary: 9,, L, E, I.) 7 160 E·I 11 %0 L3 192 E·I
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