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Engineering and Tech / Mechanics of Materials 7 / Chapter 1 / Problem 1.48

Mechanics of Materials | 7th Edition | ISBN: 9780073398235 | Authors: Ferdinand P. Beer; E. Russell Johnston Jr.; John T. DeWolf; David F. Mazurek

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For the support of Prob. 1.47, knowing that the diameter

Chapter 1, Problem 1.48

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QUESTION:

For the support of Prob. 1.47, knowing that the diameter of the pin is d = 16 mm and that the magnitude of the load is P = 20 kN, determine (a) the factor of safety for the pin (b) the required values of b and c if the factor of safety for the wooden member is the same as that found in part a for the pin.

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QUESTION:

For the support of Prob. 1.47, knowing that the diameter of the pin is d = 16 mm and that the magnitude of the load is P = 20 kN, determine (a) the factor of safety for the pin (b) the required values of b and c if the factor of safety for the wooden member is the same as that found in part a for the pin.

ANSWER:

Step 1 of 8

We have to determine the factor of safety of the pin for the applied load and values of b and c assuming based on the estimated factor of safety . Pin is in double shear, so we will calculate the ultimate load for the pin and then find the safety from the given applied load. Using the tension and shear stress in wood, we will estimate the required dimensions.

Given Data are

Ultimate strength of wood in tension:

Ultimate strength of wood in shear:

Ultimate strength of steel in shear:

Dimension of wooden plank:

Diameter of pin

Factor of safety:

Applied load:

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