The Circle of the Sciences: a Series of Treatises On the Principles of ...
The Circle of the Sciences: a Series of Treatises On the Principles of ...
William Somerville Orr
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We can see no reason why Ihis should not be the case ; and, so far as we can trace the circumstances which determine the position of the neutral axis, we see every reason for beUeving that it is so. This assumption greotiy simplifies the rest of our reasoning ; for it enables us to get rid of all calculation as to the actual position of the neutral axis, and to proceed with the oomparison of Wms as to transverse strength independently of it. We will suppose that we have three beams of the same ...mAterial, idl of equal lengtibs and breadths, but of the following Google Digitized by 280 FOBMUXui FOB CALCULATING 8TBENOTH OF BEAMS. depths : A depth 2 inches, B depth 4 inches, depth 6 inches, and that we desire to compare their transverse strengths. Let us assume, for the sake of simplicity, that the neutral axis is midway in the depth ; then in A we have above the neutral axis a set of fibres extending over 1 inch in depth, and acting with a leverage of 1 inch to resist the breaking load. In B^we have fibres extending over 2 inches, and therefore double the number of those acting in A, acting with 2 inches leverage double the leverage of those in A.
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