Chapter 4, Problem 12A

The Unified Thread may have either a flat or rounded crest or root (Figure 4-6). If the sides of the Unified Thread are extended, a sharp V-thread is formed (Figure 4-7). In Figure 4-7, H is the height of a sharp V-thread. The pitch, P, is the distance between two adjacent threads.

Find dimensions A, B, and C as indicated.

a. $\text{H}=\frac{7\text{'}\text{'}}{16\text{'}}$ $\text{A}=\underset{\_}{},$ $\text{B}=\underset{\_}{}$
b. $\text{H}=\frac{3\text{'}\text{'}}{8\text{'}}$ $\text{A}=\underset{\_}{},$ $\text{B}=\underset{\_}{}$
c. $\text{H}=\frac{15\text{'}\text{'}}{16\text{'}}$ $\text{A}=\underset{\_}{},$ $\text{B}=\underset{\_}{}$
d. $\text{H}=\frac{21\text{'}\text{'}}{32\text{'}}$ $\text{A}=\underset{\_}{},$ $\text{B}=\underset{\_}{}$
e. $\text{H}=\frac{3\text{'}\text{'}}{4\text{'}}$ $\text{A}=\underset{\_}{},$ $\text{B}=\underset{\_}{}$
f. $\text{P}=\frac{1\text{'}\text{'}}{4\text{'}}$ $\text{C}=\underset{\_}{}$
g. $\text{P}=\frac{3\text{'}\text{'}}{32\text{'}}$ $\text{C}=\underset{\_}{}$
h. $\text{P}=\frac{1\text{'}\text{'}}{20\text{'}}$ $\text{C}=\underset{\_}{}$
i. $\text{P}=\frac{1\text{'}\text{'}}{28\text{'}}$ $\text{C}=\underset{\_}{}$
j. $\text{P}=\frac{3\text{'}\text{'}}{16\text{'}}$ $\text{C}=\underset{\_}{}$