solve usingMoment Distribution Methodand table.Please use the procedure of analysis method given. nb please: The construction of the shear and moment diagrams must be done using the relationship between load, shears, and moments MethodThe following procedure provides a method of analysis of continuous beams by the momentdistribution method:1. Calculate the distribution factors. At each joint that is free to rotate, calculate thedistribution factor for each of the members rigidly connected to the joint. The distributionfactor for a member end is computed by dividing the relative bending stiffness (I/L) of themember by the sum of the relative bending stiffness of all the members rigidly connectedto the joint. The sum of the distribution factors at a joint must equal 1.2. Compute the fixed-end moments. Assuming that all the free joints are clamped againstrotation, evaluate, for each member, the fixed-end moments due to the external loadsand support settlements (if any) by using the fixed-end moment expressions given. Theclockwise fixed-end moments are considered to be positive.3. Balance the moments at all the joints that are free to rotate applying the moment-distribution process as follows:a. At each joint, evaluate the unbalanced moment and distribute the unbalancedmoment to the members connected to the joint. The undistributed moment ateach member end rigidly connected to the joint is obtained by multiplying thenegative of the unbalanced moment by the distribution factor for the member end.b. Carry over one-half of each distributed moment to the opposite (far) end of themember.c. Repeat step 3(a) and 3(b) until either all the free joints are balanced or unbalancedmoments at these joints are negligibly small.4. Determine the final member end moments by algebraically summing the fix-end momentand all the distributed and carryover moments at each member end. If the momentdistribution has been carried out correctly, then the final moments must satisfy theequations of moment equilibrium at all the joints of the structure that are free to rotate.5. Compute the member end shears by considering the equilibrium of the members of thestructure.6. Determine support reactions by considering the equilibrium of the joints of the structure.7. Draw the shear and bending moment diagrams by using the beam sign convention. Q. I Determine the moments at A, B, and C, then draw the moment diagram for the beam.The moment of inertia of each span is indicated. Assume support at B is a roller and Aand C are fixed. E = 29(10³) ksi.A800 lb/ftLAB = 900 inª24 ft30 kIIBC= 1200 in|_8 ft_8 ft_Figure I

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Q. I Determine the moments at A, B, and C, then draw the moment diagram for the beam. The moment of inertia of each span is indicated. Assume support at B is a roller and A and C are fixed. E = 29(10³) ksi. 800 lb/ft LAB = 900 in¹ 24 ft 30 k B Inc=1200 in -8 ft-8 ft- Figure I

Q. I Determine the moments at A, B, and C, then draw the moment diagram for the beam. The moment of inertia of each span is indicated. Assume support at B is a roller and A and C are fixed. E = 29(10³) ksi. 800 lb/ft LAB = 900 in¹ 24 ft 30 k B Inc=1200 in -8 ft-8 ft- Figure I

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Moment Distribution Method

and table.
Please use the procedure of analysis method given.
nb please: The construction of the shear and moment diagrams must be done using the relationship
between load, shears, and moments

Q. I Determine the moments at A, B, and C, then draw the moment diagram for the beam.
The moment of inertia of each span is indicated. Assume support at B is a roller and A
and C are fixed. E = 29(10³) ksi.
A
800 lb/ft
LAB = 900 inª
24 ft
30 k
I
IBC= 1200 in
|_8 ft_8 ft_
Figure I

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