Structures at Bath

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Question 21

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question21a

For the statically determinate truss shown above determine the displacement at the point E (in mm).

Assume all members have the same EA= 10^5 kN and L=4m

You can solve this simple problem using virtual work. Firstly you must determine the forces in the truss (its determinate so just use statics once you have the reactions). Then find the forces in the truss  caused by a unit load placed at the posit where ewe want to know the deflection (E).

Multiple the two set of forces together for each member (L/EA) and sum! You should get a displacement at E of 2.1mm - SOLUTION

For the statically determinate truss shown above determine the displacement at the point E (in mm).
Assume all members have the same EA.
You can solve this simple problem using virtual work. Firstly you must determine the forces in the truss (its determinate so just use statics once you have the reactions). Then find the forces in the truss  caused by a unit load placed at the posit where ewe want to know the deflection (E).
Multiple the two set of forces together for each member (L/EA) and sum!

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