Mechanics of Materials, 7th Edition

Published by McGraw-Hill Education
ISBN 10: 0073398233
ISBN 13: 978-0-07339-823-5

Chapter 1 - Problems - Page 24: 1.16

Answer

2.25 kips

Work Step by Step

The area which is used to bear the shear force is Area (A) = $\frac{5}{8} \times \frac{1}{2} = \frac{5}{16} in^{2}$ Now the shear force is given as 1.2 ksi. $τ= 1.2 ksi$ $\frac{F'}{A}=1.2$ $F'=1.2 \times A$ $F'= 1.2 \times \frac{5}{16}$ $F'= 0.375 kips$ So, The Total Forces P will be equal to $P=6 \times F $ $P=6 \times 0.375 $ $P= 2.25 kips$ Hence, the force P required to fail the joint will be 2.25 kips.
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