Ders
SAMPLE EXAM PROBLEMS
Set I
Problem1
For the trailer hitch shown in the Figure c, tongue weight of 100 kg acts downward and the pull force of 4905 N acts horizontally (Figure a). Using the dimensions of the ball bracket given below (Figure d), draw a free body diagram of the ball bracket and find the tensile and shear loads applied to the two bolts that attach bracket to the channels shown in the Figure (b).
[pic][pic]
a) b) c)
[pic]
d)
Problem 2
The figure below shows a cam and a cam-follower arm. If the load P = 1000 N, what spring force is needed at the right end to maintain a minimum load between cam and follower of 125 N? Find the maximum shear force and bending moment in the follower arm. Plot the shear and moment diagrams.
Problem 3
For the clevis-pin joint shown in the figure, determine the size of the clevis pin (d = ?) needed to withstand the applied force P. Assume an allowable shear stress of 140 MPa and an allowable bearing stress of 280 MPa. Also, determine the outside radius of the clevis end
(R = ?) to not exceed the allowable stresses in tearout ?
Problem 4
The clamp shown in the figure is attached to the surface by tightening the bolt. If the tensile force in the bolt is 40 kN, determine if the point A or the point B is more critical for the design (Draw the Mohr’s circle and show the stresses on 2D elements for both points)
Problem 5
For the segment of a crankshaft shown below, determine the principal stresses at point A (located on the surface of the shaft) if the diameter of the shaft is 10 mm and the applied force is F = 2i + 3k (kN). Draw the Mohr’s circle and show the applied and principal stresses on 2D elements.
Problem 6
The solid rod shown in the figure has a radius of 15 mm. If it is subjected to the loading shown, determine the principal stresses at the point B (Show the stresses on 3D elements at the point B).
Problem 7
For the crankshaft shown in the figure, determine the
Set I
Problem1
For the trailer hitch shown in the Figure c, tongue weight of 100 kg acts downward and the pull force of 4905 N acts horizontally (Figure a). Using the dimensions of the ball bracket given below (Figure d), draw a free body diagram of the ball bracket and find the tensile and shear loads applied to the two bolts that attach bracket to the channels shown in the Figure (b).
[pic][pic]
a) b) c)
[pic]
d)
Problem 2
The figure below shows a cam and a cam-follower arm. If the load P = 1000 N, what spring force is needed at the right end to maintain a minimum load between cam and follower of 125 N? Find the maximum shear force and bending moment in the follower arm. Plot the shear and moment diagrams.
Problem 3
For the clevis-pin joint shown in the figure, determine the size of the clevis pin (d = ?) needed to withstand the applied force P. Assume an allowable shear stress of 140 MPa and an allowable bearing stress of 280 MPa. Also, determine the outside radius of the clevis end
(R = ?) to not exceed the allowable stresses in tearout ?
Problem 4
The clamp shown in the figure is attached to the surface by tightening the bolt. If the tensile force in the bolt is 40 kN, determine if the point A or the point B is more critical for the design (Draw the Mohr’s circle and show the stresses on 2D elements for both points)
Problem 5
For the segment of a crankshaft shown below, determine the principal stresses at point A (located on the surface of the shaft) if the diameter of the shaft is 10 mm and the applied force is F = 2i + 3k (kN). Draw the Mohr’s circle and show the applied and principal stresses on 2D elements.
Problem 6
The solid rod shown in the figure has a radius of 15 mm. If it is subjected to the loading shown, determine the principal stresses at the point B (Show the stresses on 3D elements at the point B).
Problem 7
For the crankshaft shown in the figure, determine the