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Goup6 CE211 Lab01 week4

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Civil Engineering (BECV)

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Papua New Guinea University of Technology

Academic year: 2021/2022

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Mark ELIZAH

Papua New Guinea University of Technology

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THE PAPUA NEW GUINEA

UNIVERSITY OF TECHNOLOGY

INTRODUCTION TO STRUCTURES, CE: 211

LAB REPORT 1, SEMESTER 1, 2020

Experiment 1 - FORCES IN MEMBERS OF A

FRAME

Date experiment performed: March 10 th 2022

Date report submitted: March 24th 2022

NAME ID NUMBER

WANPIS BILL 21300089

JOHN DOMI 21300109

MARK ELIZAH 21300123

ALIM DUA 21300116

SINAKE NOLAI 21300349

Table of Content

INTRODUCTION............................................................................... HEADING PAGE NUMBER
THEORY.............................................................................................
APARATUS.........................................................................................
PROCEDURES......................................................................................
ANALYSIS AND RESULTS.................................................................... 5 -
DICUSSIONS..........................................................................................
CONCLUSION Page
REFERENCES .
APPENDICES .Page 9-

A small formula to find whether a truss system is statically determinate or statically indeterminate is given below;

If, n=number of members of the truss system

r= number of external restrains or reactions

j=number of joints or nodes,

Truss system is determinate when,

n + r= 2j eq. (1)

Truss system is indeterminate when,

n + r> 2j eq. (2)

Truss system is unstable when

n + r < 2j eq. (3)

There are several methods that can be used for the analysis of pin- jointed frames which are statically determinate. The choice depends on the usefulness and applicability of the method. The different methods to be used are:

Methods of resolutions at the nodes
Method of sections
Method of force coefficient
Method of substitution of members

However, in our structure class, we’ve learnt only two methods; Method of joints and Method of sections. One of these two methods will be used to analyze the forces in the members of the pin- jointed plane frames.

 Apparatus

The materials that were used to conduct this experiment are as follows:

1.) Triangular pin jointed plane cantilever frames suspended from two balances. 2.) A total of 5 loads, 10N each. 3.) 1m ruler 4.) 2 load hangers

Measurement Methods (Procedures)
We measured the length of the members of the frame in terms of distances from the center of the pin joints. Then we measure the perpendicular height of the triangle to check the accuracy of our measuring.
We place a series of increasing weights (10N to 70 N in 10N increments) on the load hanger and recorded the reaction and member loads.
After that we plot graphs of reactions verses applied weight, and member load verses applied weight.
We compared our results with values derived from graphical analysis of the frame.
And we also compared our results with values derived from calculations.
Finally we gave reasons for the differences between our experimental results and the two sets of theoretical results.
Analysis and Result

ii) Graph

Data of two graphs: 1. Reactions Vs Applied Weight;

Member Load Vs Applied Weight
Reactions Vs Applied Weight

Table 3.

Applied Weight (N) [x-axis]

Reaction Force (N) [y-axis] STRESS (kN/mm 2 )

1 2 3 4 1 2 3 4 0 0 15 0 0 0 0 0 0 10 0 17 17 18 0 0 0 0. 20 1 34 34 37 0 0 0 0. 30 2 51 51 56 0 0 0 0. 40 3 69 68 75 0 0 0 0. 50 4 86 85 94 0 1 1 1.

Graph of Reaction Forces Vs Applied Load

Member load Vs Applied weight

i)Table 4.

Applied Weight (N) [x-axis]

Member Load (N) [y-axis]

1 2 3 4 0 0 15 0 0 10 10 20 10 5 20 22 40 17 35 30 32 50 27 47 40 45 65 30 57 50 51 80 37 72

ii) Graph of Member Load Vs Applied Weight

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