Elementary Manual On Applied Mechanics

Cover Elementary Manual On Applied Mechanics
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RT. IiD/iD/. -D/ Or, . . . T^T, :!, :: i : 2' : 3 ::i : 8 : 27.
In -other words, the strengths of the three solid shafts will be as 1:8:27.
A good wrought- iron shaft of i" diameter has been found to withstand a torque of 800 lbs, -ft. , or 9600 Ibs. -inches, which means that they will resist 800 Ibs. Force at i foot, or 12" leverage, or 400 Ibs. At 2 feet, or 24", and so on.
Or, . P x R' = 800 Ibs. -feet of torque i. E. , . P x R" = 9600 Ibs. -inch torque. EXAMPLE II. On the above basis, what
...force acting at the circumference of a pulley 20" diameter will break a wrought- iron shaft 2" diameter?
ANSWER. By the above rule we have the proportion : T I: T, -D^iD/ But Tj - P! x R/' = 800 Ibs x i a" AndT, = P 8 x R 8 " - P, x 10" ... P^: P 2 R, :: J>*:J>f i. E. , P a R a x D^ = P^ x D, 1 P. R. X D, 8 800 x 12" x 8 p . - iy x R, -nr^" ' 76801bs lever or circumference of the pulley, and K the length of the arm or radius of the wheel or pulley.
Consequently, P x E =-J^( ^-D 2 x - \ =f g "- ' W But S is a constant quantity for any particular material.


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