A beam system is shown below. E = 2 x 10¹⁰ Pa, I = 104 m². The global coordination system has beenestablished and the node and member numbers have been given in the figure.Please1) assign the local coordinate system for each member;2) draw and number the global node coordinates;3) list Du and Dk with variables;4) list Fk with variables and values;5) give K₁1 with values;6) determine the unknown nodal displacements (in m or rad); and7) determine the member end forces for member 1 (in kN or kN•m).Y15 kN/m3125m5 m1kX

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assign the local coordinate system for each member; draw and number the global node coordinates; list Du and Dk with variables;

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

Coordinate Geometry of Survey

Coordinate geometry (COGO) is a method of inserting surveying or engineering data into geographic information system (GIS), computer-aided design (CAD), or mapping software. These data can be collected on the proposed construction site using standard surveying techniques and instrumentation or may be taken from existing maps, engineering plans, drawings, or records. Data gathered on the site includes coordinates of points, bearings, and distances between points. The data are noticed and noted through conventional surveying procedures, like a traverse or layout measurement series and it can be either digital or non-digital. The maps and plans are inclusive of boundaries, divisions, and other components, and these features are shown with coordinate values, the lengths, offset distance, and bearings between them.

Question

A beam system is shown below. E = 2 x 10¹⁰ Pa, I = 104 m². The global coordination system has been
established and the node and member numbers have been given in the figure.
Please
1) assign the local coordinate system for each member;
2) draw and number the global node coordinates;
3) list Du and Dk with variables;
4) list Fk with variables and values;
5) give K₁1 with values;
6) determine the unknown nodal displacements (in m or rad); and
7) determine the member end forces for member 1 (in kN or kN•m).
Y
15 kN/m
3
1
2
5m
5 m
1
k
X

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