Sample Exam 1	Machine Elements Design	SE1b
Student Name:		Student No.

1- A) Define the following:

a- Inertia force (F_i)

b- Second moment of area (I):

c- Material Yong’s modulus (Modulus of elasticity) (E): 

B- Find (I_x) of the following shape (all dimensions in cm):

All thicknesses are 1 cm.

2- A steel bar of an area of 100 mm² is subjected to a tensile load of 10 000 N,

A) Find the material ultimate strength (σ_u) if the required SF is 4.

B) Find extention on the shaft DL due to the tensile force, if the modulus of elasticity of the shaft material E= 20x10⁴ MPa.

3-A) Find maximum bending stress on the shaft:

The solid shaft small diameter is 20 mm, the shaft big diameter is 26 mm.

3-B) A shaft of a cross section as shown in the figure is subjected to maximum torsional shear stress of 100 MPa. Find the torque acting on the shaft, if d = 20 mm.