QuestionA frame as shown in figure 4 is fixed at node 1 and 4 carries a uniformlydistributed load of 84 kN/m on member 1 and a concentrated load of 60 kN onmember 3. Using the stiffness method, determine(a) the rotations at node 2 and displacement at node 3,(b)(c)(d)reacting forces at supports,internal forces of all members, anddraw the deflected shape of the frame, shear force and bendingmoment diagrams. Show the importance values in the diagrams.Given, the modulus of elasticity, E of 200 kN/mm², moment of inertia of thesection, / of 3.55 x 10⁰ mm4 and cross-sectional area, A of 4560 mm² for allmembers.84 kN/m5m232Figure 42.5 m60 KN32.5 mt5m

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Question A frame as shown in figure 4 is fixed at node 1 and 4 carries a uniformly distributed load of 84 kN/m on member 1 and a concentrated load of 60 kN on member 3. Using the stiffness method, determine (a) the rotations at node 2 and displacement at node 3, (b) reacting forces at supports, (c) internal forces of all members, and (d) draw the deflected shape of the frame, shear force and bending moment diagrams. Show the importance values in the diagrams. Given, the modulus of elasticity, E of 200 kN/mm², moment of inertia of the section, / of 3.55 x 109 mm4 and cross-sectional area, A of 4560 mm² for all members. 84 kN/m 5m 2 3 2 Figure 4 2.5 m 60 KN 3 2.5 m t 5m

Question A frame as shown in figure 4 is fixed at node 1 and 4 carries a uniformly distributed load of 84 kN/m on member 1 and a concentrated load of 60 kN on member 3. Using the stiffness method, determine (a) the rotations at node 2 and displacement at node 3, (b) reacting forces at supports, (c) internal forces of all members, and (d) draw the deflected shape of the frame, shear force and bending moment diagrams. Show the importance values in the diagrams. Given, the modulus of elasticity, E of 200 kN/mm², moment of inertia of the section, / of 3.55 x 109 mm4 and cross-sectional area, A of 4560 mm² for all members. 84 kN/m 5m 2 3 2 Figure 4 2.5 m 60 KN 3 2.5 m t 5m

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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Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

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Step 1: Given that

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Step 3: Slope Deflection equations and final end moments

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Step 6: Shear force diagram & bending moment diagram

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