Useful Rules And Tables Relating to Mensuration, Engineering, Structures, And Machines
Useful Rules And Tables Relating to Mensuration, Engineering, Structures, And Machines
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Rule XL. — To find the deflection. Multiply the length of each small interval by its slope (obtaining the product t d a;) ; add together those products for the intervals extending between the highest and lowest points of the beam, the sum {v = i id x) will be the required deflection.
The preceding is the general method. The following are special rules: — Let c be the Judf-span of a beam supported at both ends, or the length of a beam fixed at one end ; h, the extreme depth, and 6, the extreme b...readth of the beam; W, any given load;^, the proof stress ; or/„,the proof thrust, an d/^, the proof tension, in cross-sections of equal strength ; m' h, the distance of the most severely strained layer from the neutral axis ; n' b h^, the moment of inertia of the greatest cross-section ; m", n\ mb\ n'\ numerical multipliers Rule XLI. — Steepest slope under proof load; *i-E»»'A' V EA )• Rule XLII. — Proof deflection; ""i-Em'A^ V"" Eh y Rule XLIII. — Steepest slope under a given load, W; .
What to read after Useful Rules And Tables Relating to Mensuration, Engineering, Structures, And Machines?
You can find similar books in the "Read Also" column, or choose other free books by William John Macquorn Rankine to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Rule XL. — To find the deflection. Multiply the length of each small interval by its slope (obtaining the product t d a;) ; add together those products for the intervals extending between the highest and lowest points of the beam, the sum {v = i id x) will be the required deflection.
The preceding is the general method. The following are special rules: — Let c be the Judf-span of a beam supported at both ends, or the length of a beam fixed at one end ; h, the extreme depth, and 6, the extreme b...readth of the beam; W, any given load;^, the proof stress ; or/„,the proof thrust, an d/^, the proof tension, in cross-sections of equal strength ; m' h, the distance of the most severely strained layer from the neutral axis ; n' b h^, the moment of inertia of the greatest cross-section ; m", n\ mb\ n'\ numerical multipliers Rule XLI. — Steepest slope under proof load; *i-E»»'A' V EA )• Rule XLII. — Proof deflection; ""i-Em'A^ V"" Eh y Rule XLIII. — Steepest slope under a given load, W; .
What to read after Useful Rules And Tables Relating to Mensuration, Engineering, Structures, And Machines?
You can find similar books in the "Read Also" column, or choose other free books by William John Macquorn Rankine to read onlineMoreLess
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