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A simply supported beam is 16 meters long and has a load at the center (see figure). b cm a m where a = 16, b = 2. The deflection of the beam at its center is 2 centimeters. Assume that the shape of the deflected beam is parabolic. Write an equation of the parabola. (Assume that the origin is at the center of the deflected beam.) O x? = - 320y O x² = 320y %3D O y? = 320x %3D O y? = - 320,000x x² = 320,000y

A simply supported beam is 16 meters long and has a load at the center (see figure). b cm a m where a = 16, b = 2. The deflection of the beam at its center is 2 centimeters. Assume that the shape of the deflected beam is parabolic. Write an equation of the parabola. (Assume that the origin is at the center of the deflected beam.) O x? = - 320y O x² = 320y %3D O y? = 320x %3D O y? = - 320,000x x² = 320,000y

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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A simply supported beam is 16 meters long and has a load at the center (see figure). b cm a m where a = 16, b = 2. The deflection of the beam at its center is 2 centimeters. Assume that the shape of the deflected beam is parabolic. Write an equation of the parabola. (Assume that the origin is at the center of the deflected beam.) O x² = - 320y Ox² = 320y O y? = 320x O y? = - 320,000x O x? = 320,000y
Transcribed Image Text:A simply supported beam is 16 meters long and has a load at the center (see figure). b cm a m where a = 16, b = 2. The deflection of the beam at its center is 2 centimeters. Assume that the shape of the deflected beam is parabolic. Write an equation of the parabola. (Assume that the origin is at the center of the deflected beam.) O x² = - 320y Ox² = 320y O y? = 320x O y? = - 320,000x O x? = 320,000y
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