Strength of a beam The strength of a rectangular beam is di- rectly proportional to the product of its width and the square of the depth of a cross section (see the figure). A beam of width 1.5 feet has been cut from a cylindrical log of radius 1 foot. Find the width of a second rectangular beam of equal strength that could have been cut from the log. Exercise 48 Rectangular beam Depth Width

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter62: Volumes Of Prisms And Cylinders
Section: Chapter Questions
Problem 58A: Determine the cross-sectional area of a regular octagon cross-section tool steel piece shown. The...
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Strength of a beam The strength of a rectangular beam is di-
rectly proportional to the product of its width and the square
of the depth of a cross section (see the figure). A beam of
width 1.5 feet has been cut from a cylindrical log of radius
1 foot. Find the width of a second rectangular beam of equal
strength that could have been cut from the log.
Exercise 48
Rectangular
beam
Depth
Width
Transcribed Image Text:Strength of a beam The strength of a rectangular beam is di- rectly proportional to the product of its width and the square of the depth of a cross section (see the figure). A beam of width 1.5 feet has been cut from a cylindrical log of radius 1 foot. Find the width of a second rectangular beam of equal strength that could have been cut from the log. Exercise 48 Rectangular beam Depth Width
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