The subject of the project is an overhang beam presented in Fig. 1a. The beam is hinged supported at point ’a’ and supported by the bar at point ’c’. The cross section is presented in Fig. 1b. The load is a concentrated moment M at point ’b’ and the load intensity q between points ’c’ and ’d’. Both the bar and the beam are made of the same material of the Young modulus E. 

Scope of the project 

1 Determine the reactions at point ’a’ and the force N in the bar.

2 Determine the minimum diameter D of the bar ’ce’ assuming the plastic limit R _e  and safety factor n _s  .

3 Find the translation of point ’d’.

4 Determine the location of the center of gravity of the cross section shown in Fig. 1b.

5 Calculate the moment of inertia according to the central axis y _c  .

6 Draw the plots of the shear forces T and bending moment M along the beam.

7 Calculate the maximum stress in the beam.

When solving points 1-3 treat the beam ’ad’ as a rigid body.

No.	x 1	x 2	x 3	z 1	z 2	y 1	y 2	M	angle
1	l	2l	l	h	4h  2h		h	ql 2	60

calculations should be carried on using symbolic notations; final results must be a function of given parameters: l, h, D, E, M, q

  

Transcribed Image Text:

а) b) e' y y D,E,X2 Y2 M E d X1 X2 X3 Z1 Z2 Z1 а) b) e' y y D,E,X2 Y2 M E d X1 X2 X3 Z1 Z2 Z1