Friday, 17 June 2016

Slope deflection method sway portal frame numerical probleam

Analysis the portal frame shown in following fig. by Slope deflection method and draw bending moment diagram.


Answer:-

Slope deflection method is help to determine the bending moment of sway portal frame.

Step 1:-  At fixed support the angle is zero i,e it and the deflection in beam as a delta is shown in fig. All loads are applied on it.





Step 2:- Very 1st the calculation of fixed end moment is determine by using simple fixed end formulas. And the sign convension are placed -ve & +ve respectively.






Step 3:- Formulation of slope deflection equation. Here is only fixed support so that the normal equation is used in this num, and the fixed end moment are placed respectively.



 


Step 4:-  Formulation of equation from joints B and joint C and formed equation have 3 unknowns.



 



Step 5:- Applying shear condition i,e horizontal equilibrium to determine the horizontal thrust equation






Step 6:- Adding all Fx forces to determine the 3ed equation.






Step 7:- Calculation of 3ed equation






Step 8:- Solving the 3 equation to get following values and put that values and calculate all moment values.






Step 9:- Draw the bending moment diagram from all above values and last fig show final bending moment values.





 

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