. Graphical and mechanical computation . f the/rscale will be y = ft and its length will be 10 in. If we choosethe fixed point or center of projection, F, on the y-axis so that I = in.,then the equations of our scales are x = L, y = , 3C* ~ (D — o,o§8)2. If we write the equation as L = ft ,r\[\2 we nave an equation Art. 33 TENSION ON BOLTS WITH U. S. STANDARD THREADS 67 If D varies from \ in. to 4 in., we compute the corresponding valuesof x and lay off the scale on the s-axis. We then project this scale fromthe point F to theoblique axis, mark-i n g corresponding
. Graphical and mechanical computation . f the/rscale will be y = ft and its length will be 10 in. If we choosethe fixed point or center of projection, F, on the y-axis so that I = in.,then the equations of our scales are x = L, y = , 3C* ~ (D — o,o§8)2. If we write the equation as L = ft ,r\[\2 we nave an equation Art. 33 TENSION ON BOLTS WITH U. S. STANDARD THREADS 67 If D varies from \ in. to 4 in., we compute the corresponding valuesof x and lay off the scale on the s-axis. We then project this scale fromthe point F to theoblique axis, mark-i n g correspondingpoints with the samevalue of D (Fig. 33a). The final chart,showing neither thepoint F nor the pro-jecting lines, is givenin Fig. 336. On oneside of the obliqueaxis the threads per inch corresponding to the various diameters have beengiven. The index line indicates that when L = 20,000 pounds and ft =37,000 pounds per sq. in., then D = I in. and there are 8 threads to the inch. Similar charts can be built up for various other y ft Fig. 33a. ,
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