Final_2015.pdf

Determine the horizontal force f applied to the cord

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unstretched length of 3m. Determine the horizontal force F applied to the cord which is attached to the small ring B so that displacement of AB from wall is 𝑑 = 1.5𝑚 ( 5 Points) .

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Question 2) (PA.3) Determine the horizontal and vertical components of force at pins B and C. The suspended cylinder has a weight of 80Ib and pulley is frictionless ( 20 Points) . Question 3) (PA.3) Draw the shear and moment diagrams for the following beam ( 25 Points) .
Question 4) (DE.3) Determine the smallest force P needed to lift the 3000-lb load. The coefficient of static friction between A and C and between B and D is 𝜇 𝑠 = 0.3 , and between A and B 𝜇 𝑠 = 0.4 . Neglect the weight of each wedge. (15 Points) Question 5) (DE.3) The semicircular drainage pipe is filled with water. Determine the resultant horizontal and vertical force components that the water exerts on the side AB of the pipe per foot of pipe length; 𝛾 ? = 62.4 ?𝑏/𝑓𝑡 3 (10 points) .

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Question 6) (PA.3) (a) Determine the moments of inertia ? ? , ? ? , and ? ?? and polar moment of inertia ? 𝑂 (10 points) . (b) Calculate the radii of gyration 𝑘 ? , 𝑘 ? , and 𝑘 𝑂 (3 points) . (c) Using Mohr’s circle, determine the magnitude of principal moment of inertia of the area and the orientation of the principal axes with the origin located at point O (12 points) . Merry Christmas and Happy New Year in advance! Prof. Akbarzadeh

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