scene 10 of 10
The figure shows a beam of length 9 meters with the right end marked B. The x axis is taken along the length of the beam and the y axis is taken perpendicular to the beam at its left end. A moment of 70 kilo newtons meter acts 1 meter from B in the counterclockwise direction. A reaction force has a magnitude of 40 kilo newtons at B and is directed vertically upwards. A moment of 85 kilo newtons meter acts at B in the counterclockwise direction. A load of 20 kilo newtons acts vertically upwards at 9 meters from B. A load of 15 kilo newtons acts vertically downwards at 4 meters from B. A load of 35 kilo newtons acts vertically upwards at 1 meter from B. The shear force diagram is shown below. The shear force is in units of kilo newtons. The shear force starts from 0 and rises to 20.0 and remains constant over a length of 5 meters.

 

 

The diagram will be graphically constructed segment by segment, starting at the left end of the beam.

Constructing the diagram

Considering the segment
from x = m to x = m

Area under load diagram = 
Area under shear diagram = 
Concentrated forces = 
Concentrated moments = 
Total shear force change = 
Change in bending moment = 
at x= m V = 
at x= m M = 
Total shear force change = 
Change in bending moment = 
at x= m V = 
at x= m M = 

diagram
is completed

diagram
is completed