Mechanics of Materials

Exam 1

Student Name:

St. No.

1- Define the following:

A-    Stress (s):

B-    Moment (M):

C-    Centroid of a shape:

D-   Polar moment of area (J):

2- Find the value of the following:

 

 

 

 

 


 

 

 

 

 


H = 12 mm

B = 10 mm

D = 24 mm

 

 

 

 

 

 

d = 20 cm

D = 22 cm

Area of the shape (A)

Second moment of area (I)

Polar moment of area (J)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3- Find the second moment of area (I)

 

No

A

y

A y

 

 

 

 

 

 

 

 

 

 

 

Σ

 

 

Σ

 

No

I

A

y

Ay2

I + Ay2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

I

 

 

 

 

 

 

Σ

4 a) Find the Stresses equations at point A due to a force F1. The pin diameter is d.

4 b) Find the Stresses equations at point A due to a force F2.