On the Strength of Materials Containing Various Original And Useful Formulae S

Thomas Thomas Turner Tate

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(22. ) Art. 17. , but by eq. (59, ) Art. 31. , M' = r 3 M, and I' = r/, (60. ) Or thus. Supposing the elasticity of the material to be perfect, we have by eq. (41. ) Art. 24. , 32 SIMILAR BEAMS.
l(dx) l'(d r *') But d' = rd; by eq. (54. ) i^rzr 4 !^; by Art. 26. , = r/; and K / = r 2 K; 33. Strength of the Conway Tube calculated by this formula.
In the model Conway Tube w = 89'15 tons, 1 = 900, and in the Conway tube itself I = 4800 ; _ 4800 _ 16 = = "3' f = (Y)* X 89-15 = 2535 tons, which is t...he breaking weight of the Conway Tube, supposing it in all respects similar to the model tube.
In the same manner the strength of any beam (whatever may be the form of its section or the nature of its material) may be calculated from the breaking weight of an experimental beam whose linear dimensions are similar.
34. The breahing weights of similar beams are to each other as their sectional areas.
STRENGTH OF SIMILAR BEAMS. 33 By eq. (60. ), Art. 32. , but A / = r <2 A, or - = r\ w' A' -=-. ......

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