The beam AB in the figure below supports a load which varies from an intensity of 50 lb per ft to 200 lb per ft. Calculate the magnitude and position of the resultant load. Hint #1: To draw the resultant of a varying load, solve for the area of shape. The dimensions are the length of the beam and the load intensities. The unit of solved area is lb. Hint #2: Replace the given loading by a uniformly distributed load (rectangle) of 50 lb per ft plus a triangular load varying from zero at A to 150 lb per ft at B. 50 lb/ft -12- 200 lb/ft

The beam AB in the figure below supports a load which varies from an intensity of 50 lb per ft to 200 lb per ft. Calculate the magnitude and position of the resultant load. Hint #1: To draw the resultant of a varying load, solve for the area of shape. The dimensions are the length of the beam and the load intensities. The unit of solved area is lb. Hint #2: Replace the given loading by a uniformly distributed load (rectangle) of 50 lb per ft plus a triangular load varying from zero at A to 150 lb per ft at B. 50 lb/ft -12- 200 lb/ft

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...

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Figure (a) shows the cross section of a column that uses a structural shape known as W867 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7in.2,Ix=272in.4, and Iy=88.6in.4. Determine the dimensions of the rectangle in Fig. (b) that has the same Ix and Iy as a W867 section.
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