A simply supported I-beam is loaded with a distributed load, as shown. The deflection, y, of the center line of the beam as a function of the position, x, is given by the equation: where L=4 m is the length, E=5 GPa is the elastic modulus, I=60 x 10^(-6) m^4 is the moment of inertia, and wo=20 kN/m. Find the position x where the deflection of the beam is maximum in meters. Express your answer in meters with six decimal digits after decimal point.

A simply supported I-beam is loaded with a distributed load, as shown. The deflection, y, of the center line of the beam as a function of the position, x, is given by the equation: where L=4 m is the length, E=5 GPa is the elastic modulus, I=60 x 10^(-6) m^4 is the moment of inertia, and wo=20 kN/m. Find the position x where the deflection of the beam is maximum in meters. Express your answer in meters with six decimal digits after decimal point.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A beam is subjected to equal bending moments of Mz = 3100 N·m. The cross-sectional dimensions are b = 180 mm, c = 35 mm, d = 70 mm, and t = 7 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative.
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Structure analysis
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