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BPSC AE: Paper 5 (Civil Engineering) 2012 Official Paper

Option 3 : 1

__Concept:__

**Distribution Factors in Moment Distribution Method: **

- The moment distribution method is a structural analysis method for statically indeterminate beams and frames in which every joint of the structure to be analysed is fixed so as to develop the fixed-end moments.
- Then each fixed joint is sequentially released and the fixed-end moments are distributed to adjacent members until equilibrium is achieved.
- When a joint is being released and begins to rotate under the unbalanced moment, resisting forces develop at each member framed together at the joint.
- Distribution factors can be defined as the proportions of the unbalanced moments carried by each of the members. In mathematical terms, the distribution factor of member k framed at joint j is given as: \({D_{jk}} = \;\frac{{\frac{{{{\left( {EI} \right)}_k}}}{{{L_k}}}}}{{\mathop \sum \nolimits_{i = 1}^n \frac{{{{\left( {EI} \right)}_i}}}{{{L_i}}}}}\;\)where n is the number of members framed at the joint. Here, EI is the flexural rigidity and L is length of the concerned member.
- Hence, the sum of distribution factors of all the members connecting at any joint is always 1.

ST 1: Building Construction and Materials

1502

20 Questions
40 Marks
24 Mins