Answered: Determine the support reactions and…

Engineering

Civil Engineering

Determine the support reactions and member forces of the trusses shown.

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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Concept explainers

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.

Question

Determine the support reactions and member forces of the trusses shown. (Ans : B_y=24, D_x=-15, D_y=16, F_AB=-12.5, F_BC=0.893, F_CD=-1.215, F_EF=- 6.607, F_FG=-6.215, F_AE=16.008, F_BE=-13.286, F_BF=-17.051, F_CE=5.26, F_CF=-8.258, F_CG=7.959, F_DG=-4.972, F_DF=-17.653)

10kN,
A
15kN E
B
OC
5m 75m
30kN
F
C
5m
G
4m

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Step 1: Given

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Step 2: Static indeterminacy

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Step 3: Evaluating P forces

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Step 4: Evaluating P forces

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Step 5: Evaluating K1 forces

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Step 6: Evaluating K2 forces

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Step 7: Determination of redundant forces

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Step 8: Determination of remaining member forces

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