A simply supported beam with length 32.6 feet with a concentrated load at it midspan will deflect approximately in the shape of a parabola. If the deflection at the midspan is 1.49 inches, write the equation of the parabola taking the left end of the beam as the origin. Find the deflection of the beam at a distance of 12.1 feet from the left end. Use the form (a - h) = 4p(y -k), where a %3D and y are in feet. L/2 L/2 Equation: The deflection of the beam 12.1 feet from the left end is inches.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A simply supported beam with length 32.6 feet with a concentrated load at it midspan will deflect
approximately in the shape of a parabola. If the deflection at the midspan is 1.49 inches, write the
equation of the parabola taking the left end of the beam as the origin. Find the deflection of the
beam at a distance of 12.1 feet from the left end. Use the form (a -
h) = 4p(y-k), wherez
%3D
and y are in feet.
L/2
L/2
Equation:
The deflection of the beam 12.1 feet from the left end is
inches.
Transcribed Image Text:A simply supported beam with length 32.6 feet with a concentrated load at it midspan will deflect approximately in the shape of a parabola. If the deflection at the midspan is 1.49 inches, write the equation of the parabola taking the left end of the beam as the origin. Find the deflection of the beam at a distance of 12.1 feet from the left end. Use the form (a - h) = 4p(y-k), wherez %3D and y are in feet. L/2 L/2 Equation: The deflection of the beam 12.1 feet from the left end is inches.
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