For the truss structure shown, express the position vector r AC from point A to point C in terms of its components in x and y. Determine the length of truss member AC using vector operations (i.e., do not simply use the Pythagorean Theorem). Calculate the unit vector for r AC

For the truss structure shown, express the position vector r AC from point A to point C in terms of its components in x and y. Determine the length of truss member AC using vector operations (i.e., do not simply use the Pythagorean Theorem). Calculate the unit vector for r AC

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

Graphical Methods

The graphical method is a method of solving equations involving more than one variable using the Cartesian coordinate system. In civil engineering, the use of the graphical method is limited to the problems involving two variables. The graphical method has a great impact in solving the questions regarding engineering mechanics.

Question

For the truss structure shown, express the position vector r AC from point A to
point C in terms of its components in x and y. Determine the length of truss member AC using
vector operations (i.e., do not simply use the Pythagorean Theorem). Calculate the unit vector for
r AC

0.6 m
0.4 m
-0.6 m-
B
-1.2 m-
A
0.7 m
-X

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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Step 1: Given data :-

VIEW

Step 2: writing the coordinates and Finding the position vector rAC from point A to point C :-

VIEW

Step 3: Finding the length of truss member AC :-

VIEW

Step 4: Finding the unit vector for rAC :-

VIEW

Solution

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