CONCURRENT FORCES & FORCE DIAGRAMS. A Concurrent F orce System, is a force system where all forces start from the same point. 100N. 2 00N. TERMS: Resultant, the single force which can replace a force system. Equilibrant, the single force which can bring a force system in to equilibrium.
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Lets consider the previous force system.
Select a scale to draw the forces against.
In this case, lets say 5mm = 10N.
Draw the 200N force to scale, i.e. 100mm.
Draw the 100N force from the end of this
vertically upwards. i.e. 50mm.
4. Join the ends and measure this line.
Line length = Approx. 110mm
So resultant = (110/5) x 10N
= Approx. 220N
The Equlibrant will always be in the opposite direction, but will always have the same value.
This technique works for force systems with more than 2 forces, as an example.
50N @ 45
60N @ 45
STRESS = Load/Cross Sectional Area (Nmm-2)
Strain = Change in Length/ Original Length (no units)
Example 1: A structural member is subjected to a compressive force of 20000N. If the diameter of the member is 250mm, calculate the stress within the member.
If the load reduces the member length by 0.5mm and the original length was 2m, calculate the strain.
= 3.14 x 125 x 125
= 49062.5 mm2
Stress = Load/Cross Sectional Area
Strain = Change in Length/ Original Length