Determine the reactions and draw the bending moment and shear force diagrams for the frames shown below. Use direct stiffness method and the structural nodes defined in the figures (represented by squares). E = 29,000 ksi 0.5k/h 15 ft B 10 ft- lac-400 in LAB-900 in 3k Fixed -10 ft- Fixed no need for cross-sectional area. please use direct stiffness method.

Determine the reactions and draw the bending moment and shear force diagrams for the frames shown below. Use direct stiffness method and the structural nodes defined in the figures (represented by squares). E = 29,000 ksi 0.5k/h 15 ft B 10 ft- lac-400 in LAB-900 in 3k Fixed -10 ft- Fixed no need for cross-sectional area. please use direct stiffness method.

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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Question

Determine the reactions and draw the bending moment and shear force diagrams for the frames
shown below. Use direct stiffness method and the structural nodes defined in the figures
(represented by squares).
E = 29,000 ksi
0.5k/ft
15 ft
B
10 ft-
lac-400 in
LAB-900 in
3k
Fixed
-10 ft-
Fixed
no need for cross-sectional area. please use
direct stiffness method.

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Step 1: Given data

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Step 2: Calculation of fixed end moment

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Solution

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Step 3: Application of unit rotations at point B

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Step 4: Calculation of stiffness coefficient

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Step 5: Moment Calculation

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Step 6: Moment calculation do member BC & CB

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Step 7: Calculation of Reaction forces

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Step 8: Reaction Calculation

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Step 9: Shear Force Diagram

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Step 10: Bending moment Diagram

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