LIST OF FIGURESFigure 1 Steel truss diagram...6 Figure 2 Steel truss experiment under static load...7 Figure 3 Hydraulic pump...8 Figure 4 Switch and Balance Unit SB10 Figure 5 Vishey me
Trang 1HO CHI MINH CITY UNIVERSITY OF TECHNOLOGY OFFICE FOR INTERNATIONAL STUDY PROGRAMS
STRUCTURAL TESTING
Student : Do Tan Kiet
ID number : 1852490
Adviser : Assoc Prof Ho Duc Duy
Subject code : CI4011
Ho Chi Minh City, November 2022
Trang 2Overall, I would like to express my great appreciation to Assoc GS Ho Duc Duy about the valuable knowledge and valuable advice that he has taught and shared during this course.
Signature
Trang 3EXPERIMENT 1: TESTING STEEL TRUSS UNDER STATIC LOAD 6
1.1 Experiment purpose and requirement for testing steel truss: 6
1.1.1 Experiment: 6
1.1.2 Requirement for testing steel truss: 6
1.2 Experimental diagram: 6
1.3 Apparatus: 7
1.3.1 Hydraulic pump: 7
1.3.2 Strain measurement equipment: 8
1.3.3 Dial indicator: 10
1.3.4 Load cell: 11
1.4 Procedure: 11
1.4.1 Preparation: 11
1.4.2 Testing procedure: 11
1.5 Testing result: 12
1.6 Calculated data: 12
1.7 Theoretical calculation of stress, strain, deflection: 13
1.7.1 Modeling the steel truss using SAP2000: 13
1.8 Result and discussing: 17
1.8.1 Comparison between testing method and SAP modelling method: 17
1.8.2 Discuss the result between testing and SAP modelling method: 23
1.8.2.1 : Comment on chart result: 23
1.8.2.2 Cause of differences: 23
EXPERIMENT 2: REINFORCED CONCRETE BEAM 25
2.1 Experimental purpose: 25
2.2 Experimental diagram: 25
2.3 Apparatus: 26
2.4 Procedure: 27
2.4.1 Preparation: 27
2.4.2 Testing procedure: 28
2.5 Testing result: 28
2.6 Calculated data: 29
2.6 Theoretical calculation of stress, strain, deflection: 30
Trang 42.6.1 Reinforcement concrete theory: 30
2.6.1.1: Initial data: 30
2.6.1.2: Deflection: 31
STRUCTURAL TESTING SUBJECT QUESTION 36
Trang 5LIST OF FIGURES
Figure 1 Steel truss diagram 6
Figure 2 Steel truss experiment under static load 7
Figure 3 Hydraulic pump 8
Figure 4 Switch and Balance Unit SB10 Figure 5 Vishey measurement P3500 8
Figure 6 Strain gage 10
Figure 7 Dial indicator 10
Figure 8 Steel truss 10
Figure 9 Load cell 11
Figure 10 Axial force of the steel truss for case F 1 =1.5kN 16
Figure 11 Deflection node I 18
Figure 12 Deflection Node II 19
Figure 13 Strain gage 1 20
Figure 14 Strain gage 2 21
Figure 15 Strain gage 3 21
Figure 16 Strain gage 4 21
Figure 17 Strain gage 5 22
Figure 18 Strain gage 6 22
Figure 19 Strain gage 7 22
Figure 20 Concrete beam diagram 25
Figure 21 Reinforced concrete beam testing at the laboratory 26
Figure 22 Hydraulic jack and load watch for applying and controlling load 27
Figure 23 Switch and Balance Unit SB0 and P3500 27
Figure 24 General dimension for all 30
Figure 25 Loading action on beam according to the first level of load (i=1) 32
Figure 26 Moment distribution of beam according to the first level of load (i = 1) 32
Figure 27 Case of loading RC beam 34
LIST OF TABLES Table 1 Result of deflection and strain for the 1st experimental testing 12
Table 2 Result of deflection and strain for the 2nd experimental testing 12
Table 3 Calculated result of deflection and strain for the 1st experimental testing 13
Table 4 Calculated result of deflection and strain for the 2nd experimental testing 13
Table 5 Average the calculated result of deflection and strain for the experimental testing 13
Table 6 Summarize the result of deflection and axial force from ETABS 17
Table 7 Summarize the result of deflection and strain value according to elastic theory 17
Table 8 Comparison the deflection result between testing method and SAP2000 18
Table 9 Comparison the strain result between testing method and SAP 19
Table 10 Result of deflection and strain for the 1st experimental testing 29
Table 11 Result of deflection and strain for the 2nd experimental testing 29
Table 12 Calculated result of deflection and strain for the 1st experimental testing 29
Table 13 Calculated result of deflection and strain for the 2nd experimental testing 30
Table 14 Average the calculated result of deflection and strain for the experimental testing 30
Table 15 Summaries the calculation of stiffness factor 33
Trang 6EXPERIMENT 1: TESTING STEEL TRUSS UNDER STATIC LOAD
1.1 Experiment purpose and requirement for testing steel truss:
1.1.1 Experiment:
Become familiar with the method of testing a bar structure, know how to use
measuring devices to determine experimentally stress and displacement
Determine the stress in the truss rod, deflection, displacement of the truss Fromthere, compare the results between theory and experiment when considering:
• Stress (expressed through strain) of truss rod
• Deflection and displacement at some positions on the steel truss
1.1.2 Requirement for testing steel truss:
• Measure strain at some representative bars in the array
Stress and internal force N in truss bars.
• Measure deflection at some positions on the truss
• Compare experimental and theoretical results
1.2 Experimental diagram:
Figure 1 Steel truss diagram
The steel truss has trapezoid shape, including 5 spans, each span has 0.5m in height and 1m in length
Structure of truss steel bars as in the following table:
Piston diameter: 5.6 cm
Gusset plate thickness: 4-5mm
Specifications Area(A)(cm2) X-axial moment ofinertia Jx (cm4) E (N/cmModulus2)Chord and
Interior
Trang 71.3 Apparatus:
Figure 2 Steel truss experiment under static load
with 1 Hydraulic pump
2 Strain measurement equipment
2 sides of the steel truss as showed in the above figure
The load acting on the 2 sides
of the truss is calculated as follow:
F=(v × π d42)÷ 2
where: v: Pressure value that read on gauge (daN/cm2)
1 2
4
Trang 8d: Diameter of the piston (mm).
Figure 3 Hydraulic pump
The testing uses the 20 tons’ hydraulic pump with the piston diameter
(d = 56mm)
The process of loading and unloading of the hydraulic pump equipmentshould be processed by each loading level After unloading the pressure
to zero, wait about 10 minutes to continue to operate
1.3.2 Strain measurement equipment:
Figure 4 Switch and Balance Unit SB10
Switch and Balance Unit SB10:
• Including 10 channels plus open position that allow to measure up to 10 strain gages at the same time The equipment consists a switch button to determine each value of strain gages The channel switch of the SB-10 has an open position to allow the use of additional SB-10’s with a single P-3500 strain indicator
• The combination of a P-3500 and SB-10 allows the operator to intermix, in a single 10- channel system, quarter, half and full bridge circuits
Vishay measurement P3500:
• The model P-3500 Vishay measurement is a portable,
battery-powered instrument with unique features for use in stress analysis
testing and for use with strain gauge-based transducer
• The value extracted from the electronic meter of the device showed
the negative value is for the strain gage location that are under
compression, and positive value for tensioning
Trang 9 Strain gage:
Based on tensest effect, when the conductor is mechanically deformed, the resistance also changes The valueextracted from the Vishay
measurement based on the following formula: ε g=∆ R g / R g
GF
Figure 6 Strain gage
1.3.3 Dial indicator:
Small displacement gauges:
The type of gauge used in the experiment is an electronic clock That scale is mm Minimum division 0.01mm.
In the experiment, install 2 clocks to measure the deflection of 2 button positions in the steel frame Corresponding to the increasing or decreasing displacement of each node position that we set the clock up or down
Figure 7 Dial indicator
Trang 10Figure 8 Steel truss
1.3.4 Load cell:
An electronic weighing load cell are used toinstall electronic scales These load cells areusually made of allow steel with variousshapes, loads and sizes This equipment iswidely used in many industrial and civil fields
The load cell is connected to the hydraulicpump, then the hydraulic pump will transferpressure to the load cell, through the steel balland then acting to the structure
Figure 9 Load cell
1.4 Procedure:
1.4.1 Preparation:
The experiment was performed in a group of 15 members The tasks of each member are as follow:
+) Duyen: Setup and read switch and Balance Unit SB10.
+) Minh Duy: Set up and read data from Vishay measurement P3500.
+) Chi Huy: Adjusting the hydraulic pump into the specific pressure level that the instructor has already required.
+) Phuc Dat: Set up and checking the dial micrometer value 1.
+) Dai Duong: Set up and checking the dial micrometer value 2.
+) Others on the team were responsible for assisting with the lighting, taking pictures of the equipment, and checking the metrics.
1.4.2 Testing procedure:
Step 1: Check and re-measure the truss bars with a steel ruler and caliper.
Step 2: Arrangement of deflection and strain gauges (already arranged in
advance) Adjust the deflection gauges to 0 Place the deflection gauges in the correct position to be measured and always touch the steel frame when the load
is increased.
Step 3: Control the hydraulic jack from 0 to 1.5-3-4.5-6 kN by continuously pushing the hydraulic jack below the truss.
Trang 11Step 4: When it reaches to the required stress level, recording the 2 values of deflection from the dial indicators and strain value of 7 strain gage from Vishey measurement.
Step 5: When the forced reached the maximum required value (6 kN), unloading the hydraulic pump to zero, and wait for 10 minutes and continue the above procedure to measure the second time.
1.5 Testing result:
After testing for 2 times, the results from laboratory experiments will be
summarize in these following table The force value is calculated as:
F=(v × π d42)÷ 2=(v × π × 5.64 2)÷ 2
Table 1 Result of deflection and strain for the 1st experimental testing.
Force
(kN)
Deflection value from
dial indicators (mm) Strain value from P3500 (με)
Deflection value from
dial indicators (mm) Strain value from P3500 (με)
- The displacement value rounded to 2 decimal places
- The positive value (+) of strain corresponding to tension, and the negative value (-) of strain is for compression
1.6 Calculated data:
Trang 12 The testing result are assumed that the initial displacement and strain values still existed since this is the old steel truss and has been used for various of experiments.
Therefore, these values should be converted by subtracting the original value to consider the initial displacement and strain to be 0
Assumed that the results at the initial stage i = 1.
Table 3 Calculated result of deflection and strain for the 1st experimental testing
Trang 131.7.1 Modeling the steel truss using SAP2000:
Step 1: Modeling the grid system (notice that the units are kN and meter)
Step 2: Define the material (According to TCVN 5575:2012)
Trang 14Step 3: Define the section properties (According to the given information).
Trang 15Step 5: Assign the section properties corresponding to each chord on the truss.
Step 6: Assign joint forces at 2 points on the truss (the force has calculated in Table 5) Then start running and analysis the result and repeat this step for next joint forces acting on the truss
1.7.2 Result from SAP2000:
Figure 10 Axial force of the steel truss for case F 1 =1.5kN
Comment on the axial forces result:
- The top chords are tended to be in compression with a negative value (-) and the lower string tends to be in tension with a positive value (+) However, the middle chord of the upper and lower truss has the highest longitudinal force value.
Trang 16- The four interior chords located in the middle of the truss have a very small number of axial forces
Table 6 Summarize the result of deflection and axial force from ETABS
Force
(kN)
Deflection value
fromSAP2000 (mm) Axial force value N from SAP2000 (kN)
1.5 0.242 0.268 1.219 0.035 1.219 -4.48 -4.49 1.189 1.189
3 0.443 0.536 2.657 0.063 2.657 -8.97 -8.97 2.379 2.379 4.5 0.647 0.759 3.759 0.078 3.579 -12.46 -12.46 3.532 3.532
Trang 17+ N: Axial force for each chord (N)
+ A: Cross-sectional area of each steel chord (mm2)
+ E: Elastic modulus of steel (N/mm2), taken E = 210000N/mm2
For easier comparison, the theoretical result of strain will be converted into which has the same unit corresponding to the measurements on the test equipment
1.8 Result and discussing:
1.8.1 Comparison between testing method and SAP modelling method:
a Deflection
Table 8 Comparison the deflection result between testing method and SAP2000
Node F(kN) ExperimentDeflection (mm)SAP2000 %
Trang 180 1.5 3 4.5 6 0
Table 9 Comparison the strain result between testing method and SAP
Experiment SAP2000
Trang 20Figure 14 Strain gage 2
Figure 15 Strain gage 3
Figure 16 Strain gage 4
Trang 21Figure 17 Strain gage 5
Figure 18 Strain gage 6
Figure 19 Strain gage 7
1.8.2 Discuss the result between testing and SAP modelling method:
-100
-90 -80 -70 -60 -50 -40 -30 -20 -10
Trang 221.8.2.1: Comment on chart result:
Overall, there is a significant difference in both deflection and strain value between the two testing methods and SAP2000
For deflection, the highest difference between the two methods is 78% Besides,the graph between the two methods shows the same trend (deviation value ofboth methods increases in proportion to the load)
In addition, the test method gives a deviation value is higher when comparedwith value extracted from SAP2000
However, the results in SAP2000 show more linear increase than experimentalmethod This may be due to the experimental procedure, the error during theexperiment process, resulting in non-linear results when compared withSAP2000 results
For strain values, the highest difference between the two methods is up to 99%and as low as 3% The biggest difference comes from the result of tensionmeasurement 2, with the test method results are much larger than the SAP2000results This can come to the fact that the normal force result extracted fromSAP2000 for strain gauge position 2 is N = 0 kN is considered to be nodeformation, but in the strain test, strain also occurs gauge 2 (test value fornegative strain value for strain gauge 2 means that the bars are undercompression)
Due to the force part
Due to mechanical processing the beam model is not accurate in
both cross section and working structure
b) Since strain gauges are very sensitive, it is very difficult to get to zero
initially, so usually accept a non-zero number, leading to error in
calculation So, each reading of the data will lead to a larger error
c) Due to the careless reading of the number as well as the installation of
the meter
d) Due to the error of the length measure Error of displacement and
strain gauges (error number of instruments-objective error)
Although the measured data is not close to the theory, but through the
process of experimenting myself
Learned many useful lessons, learned more measuring devices such as
tensormet, clock measure displacement equipment, and especially
Trang 23understand how to do experiments in reality construction site that helps usavoid surprises when working in reality In the past the process also draws a lot of experience, knows how to adjust the equipment measured and errors are common.
- Errors made during the experiment made the measurement results inaccurate as accurate as placing non-vertical gauges made vertical
displacement measurement to tilt displacement measurement, the gauges are so sensitive that the initial adjustment does not going to 0 makes the measurement and reading of numbers inaccurate many times leading to errors adjusting the device at the beginning is very important