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Solved: The two portions of member AB are glued together
Chapter 1, Problem 1.70(choose chapter or problem)
The two portions of member AB are glued together along a plane forming an angle \(\boldsymbol{\theta}\) with the horizontal. Knowing that the ultimate stress for the glued joint is 2.5 ksi in tension and 1.3 ksi in shear, determine the range of values of \(\boldsymbol{\theta}\) for which the factor of safety of the members is at least 3.0.
Questions & Answers
QUESTION:
The two portions of member AB are glued together along a plane forming an angle \(\boldsymbol{\theta}\) with the horizontal. Knowing that the ultimate stress for the glued joint is 2.5 ksi in tension and 1.3 ksi in shear, determine the range of values of \(\boldsymbol{\theta}\) for which the factor of safety of the members is at least 3.0.
ANSWER:Step 1 of 5
We have to determine the range of inclination for which factor of safety is at least 3. With the given factor of safety. We will compute the ultimate loads based on normal and shearing stress. The ranges can be calculated from them
Given data are
Area of cross section
Ultimate stress in tension:
Ultimate stress in shear:
Applied load: