From Example 3.6, express the sideways deflection of the tip in the units of mils (defined in Table 3.5) when the various quantities are instead known in the USCS. Use the values F = 75 lb, L = 3 in., d = 3⁄16 in., and E = 30 × 10⁶ psi.

Table 3.5

Quantity Derived Unit Abbreviation Definition Length mil mil 1 mil = 0.001 in. inch in. 1 in. = 0.0833 ft mile mi 1 mi = 5280 ft 1 gal = 0.1337 ft 1 slug = 1 (lb s)/ft Volume gallon gal Mass slug slug 1 lbm = 3.1081 x 10-2 (Ib s')/ft pound-mass Ibm Force ounce OZ 1 oz = 0.0625 lb ton 1 ton = 2000 lb ton Torque, or moment of a force ft . Ib foot-pound Pressure or stress pound/inch? psi 1 psi = 1 lb/in? Energy, work, or heat foot-pound ft Ib British thermal Btu 1 Btu 778.2 ft Ib unit Power horsepower hp 1 hp = 550 (ft Ib)/s Temperature degree Fahrenheit F = R 459.67 F Although a change in temperature of 1 Rankine also equals a change of 1 F, numerical values are converted using the formula.