Exam 1 
Machine Elements Design 
2^{nd} semester 14281429 


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B) Define the following:
a Material modulus of elasticity (E)
b Centroidal axis:
c Moment (M):
2 A) Find the (_{}) (horizontal centroidal axis) of the following area (all dimensions in cm, and all thicknesses are 1 cm).


B Find (I_{x}) of the following shape (all dimensions in cm, All the thicknesses are 1 cm). 

3 A) Find number of bolts in the cover of the shape shown, under a force of 14100 N, if:  bolt size is M6  bolt material is EN3  factor of safety is 3 B) find the pressure in the cylinder, if D = 80 mm

4) Find the reaction at points A, and C.
(All dimensions are in mm)
5) 

A Find the key dimensions, if the tangential force is 30 000 N, and the shaft diameter D = 60 mm, the key material is EN1A, and the factor of safety = 5.
B What is the value of torque T (Nm) applied to the shaft due to the force?
C Write down the equation of shaft maximum torsional stress using the symbols shown on the figure.

