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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.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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?i F = бас (b) Subscript every parameter withm (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. Problem3-31
Transcribed Image Text: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?i F = бас (b) Subscript every parameter withm (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. Problem3-31
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