The Principles of Structural Mechanics; Treated Without the Use of Higher Mathematics

The Principles of Structural Mechanics; Treated Without the Use of Higher Mathematics

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1912 edition. Excerpt: ...of V in. per cwt. of load for beams under concentrated load, and-fa in. for distributed load. If instead of beams we had cantilevers, we could easily use the same experimental results and increase the figure of in. by the relation between the deflections of girders and cantilevers shown in the table. Thus the deflection of a cantilever i in. x i in. x i ft. span, under a concentrated load of I cwt., would be to the deflection in. for a beam of the same section and load in the proportion of f to V or would be--V in. x 4-in., or x f x-2/ = in., say J in. It is, however, in practice more convenient to know what deflection is going to take place in a timber beam loaded to the extent of the handy formula for timber beams: Safe distributed load in bd? in inches TT, cwt. =--. Under these circumstances, S in feet assuming the modulus of elasticity for large scantlings to be 9,000 cwt. per square inch and f to be 9 cwt. per square inch, which is the safe f assumed in that formula, then--A = JL- k (L in inches = Si2 in feet.) 24 KD _5x9xi2Sxi2S_ S2 24 x 9000 x d sod So that for wood beams loaded with the safe distributed weight allowed by the handy formula (or any other arrangement of weight involving a flange stress of 9 cwt. per square inch) the deflection can be calculated from the very simple formula S2 =. If a modulus of 10,800 be assumed, the S2 formula becomes. 40 Limiting Ratio Of Depth To Span For Given Ratios Of Deflection To Span.--It is often convenient in practical design to determine the limiting proportion of depth to span which will keep deflection within defined limits. For fir timber beams and joists under distributed loads the limit of deflection usually fixed is in. per foot of span or liff nd more

Product details

  • Paperback
  • 189 x 246 x 5mm | 181g
  • United States
  • English
  • black & white illustrations
  • 1236933338
  • 9781236933331