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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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