Problem 1-Hinge location for a two span beam (20 points) Use SAP2000 to determin

Question

Problem 1-Hinge location for a two span beam (20 points) Use SAP2000 to determine the location x of the hinge that will minimize the absolute magnitude of the bending moments of the beam shown (i.e. find the location of the hinge such that the magnitude of the maximum positive moment is equal to the magnitude of the maximum negative moment). Use hand calculations and appropriate SAP output to show that your SAP model is behaving appropriately. Print out the SFD and BMD of your model with the hinge in the final position. 2 k/ft Hinge 10 10

Explanation / Answer

to minimise the potential energy of the system

should be symmetric.

hence at x=0

bending moment will me minimum is the system.

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