Figure Q1(b) shows the steel truss with a 3-meter span. The cross-sectional area for all members of the truss is 400 mm. Span BC carried a uniformly distributed load of 30 kN/m. Prove that the plane truss is internal statically indeterminate. Then, using the Method of Virtual Work, approximate the member forces AC. Assume that member AC is redundant in your analysis. Given E, = 200 GPa. All answers are in three decimal places. (b) 30KN/m C 4m A D 3m

Figure Q1(b) shows the steel truss with a 3-meter span. The cross-sectional area for all members of the truss is 400 mm. Span BC carried a uniformly distributed load of 30 kN/m. Prove that the plane truss is internal statically indeterminate. Then, using the Method of Virtual Work, approximate the member forces AC. Assume that member AC is redundant in your analysis. Given E, = 200 GPa. All answers are in three decimal places. (b) 30KN/m C 4m A D 3m

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

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

(b)
Figure Q1(b) shows the steel truss with a 3-meter span. The cross-sectional area for
all members of the truss is 400 mm?. Span BC carried a uniformly distributed load of
30 kN/m. Prove that the plane truss is internal statically indeterminate. Then, using the
Method of Virtual Work, approximate the member forces AC. Assume that member
AC is redundant in your analysis. Given Es = 200 GPa. All answers are in three
decimal places.
B
30kN/m
C
4m
A
3m
FIGURE Q1(b)

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GIVEN DATA

VIEW

DISTRIBUION OF GIVEN LOAD

VIEW

PROCEDURE OF VIRTUAL WORK METHOD

VIEW

CALCULATIONOF P FORCES

VIEW

CALCULATIONOF u FORCES

VIEW

CALCULATIONOF REDUNDANT FORCE(T)

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