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
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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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)
(c)
(d)
reacting forces at supports,
internal forces of all members, and
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 10⁰ 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
Transcribed Image Text: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) (c) (d) reacting forces at supports, internal forces of all members, and 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 10⁰ 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
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