The Roman method for addressing uncertainty in design was to build a copy of a design that was satisfactory and had proven durable. Although the early Romans did not have the intellectual tools to deal with scaling size up or down, you do. Consider a simply supported, rectangular- cross- section beam with a concentrated load F, as depicted in the figure. (a) Show that the stress-to-load equation is abh?1 F = бас (b) Subscript every parameter with m (for model) and divide into the above equation. Introduce a scale factor, s = am/a = bm/b = cm/c etc. Since the Roman method was to not "lean on" the material any more than the proven design, set om/o = 1. Express Fm in terms of the scale factors and F, and comment on what you have learned.

The Roman method for addressing uncertainty in design was to build a copy of a design that was satisfactory and had proven durable. Although the early Romans did not have the intellectual tools to deal with scaling size up or down, you do. Consider a simply supported, rectangular- cross- section beam with a concentrated load F, as depicted in the figure. (a) Show that the stress-to-load equation is abh?1 F = бас (b) Subscript every parameter with m (for model) and divide into the above equation. Introduce a scale factor, s = am/a = bm/b = cm/c etc. Since the Roman method was to not "lean on" the material any more than the proven design, set om/o = 1. Express Fm in terms of the scale factors and F, and comment on what you have learned.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.8.5P: Two wood beams, each of rectangular cross section (3.0 in. x 4.0 in., actual dimensions), are glued...

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