STRUCTURAL ENGINEERING LABORATORY Important: ? It is the students’ responsibility to read and...

Question

STRUCTURAL ENGINEERING LABORATORY Important: ? It is the students’ responsibility to read and comprehend the information contained in this document including relevant theories that covered in previous units. ? The practical work will be carried out in group work format; however, the report must be submitted by each student (individual report). ? Students’ responsibility to wear suitable personal safety equipment for the laboratory work and follow the instruction given by technical staffs during the experiment. As a general rule, anyone without covered footwear will not allow into the laboratory. ? If you are aware that you may not able to attend any of the scheduled laboratory classes, you must inform the lecturer as soon as possible. Whenever possible, such students will be allowed to do the testing with other groups. UNSYMMETRICAL BENDING This experiment is designed to assist students to understand the basic concepts of the strength of materials studied in ENEC12012: Stress Analysis. THEORY: Understanding of unsymmetrical bending is important in most of the structural design problems. All relevant theories are covered in the unit. Please refer the relevant sections (Bending II). Reference: Prescribed Textbook. Important Definition: Principal Axes – For a given area A and a given origin O, there are two axes (say X & Y) about which the moments of inertia are, respectively, greater and less than about any other axes through origin O. There two axes are called principal axes, the corresponding moments of inertia are principal moments of inertia (where IXY =0).
	
Document Preview: Structural Engineering Laboratory  Unsymmetrical Bending 
STRUCTURAL ENGINEERING LABORATORY  
Important: 
? It is the students’ responsibility to read and comprehend the information contained in this 
document including relevant theories that covered in previous units. 
? The practical work will be carried out in group work format; however, the report must be 
submitted by each student (individual report).  
? Students’ responsibility to wear suitable personal safety equipment for the laboratory work 
and follow the instruction given by technical staffs during the experiment. As a general rule, 
anyone without covered footwear will not allow into the laboratory.  
? If you are aware that you may not able to attend any of the scheduled laboratory classes, you 
must inform the lecturer as soon as possible.  Whenever possible, such students will be 
allowed to do the testing with other groups.

UNSYMMETRICAL BENDING 
 
This experiment is designed to assist students to understand the basic concepts of the strength of 
materials studied in ENEC12012: Stress Analysis. 
 
THEORY: 
Understanding of unsymmetrical bending is important in most of the structural design problems. All 
relevant theories are covered in the unit. Please refer the relevant sections (Bending II). 
Reference: Prescribed Textbook.  
Important Definition: 
Principal Axes – For a given area A and a given origin O, there are two axes (say X & Y) about which 
the moments of inertia are, respectively, greater and less than about any other axes through origin O. 
There two axes are called principal axes, the corresponding moments of inertia are principal moments 
of inertia (where I =0). 
XY

Last Update: June 2017  Page 1 of 11Structural Engineering Laboratory  Unsymmetrical Bending 
METHODOLOGY: 
Experimental initial set-up

Figure 1: Full experiment set-up in the structures frame

Figure 2: Unsymmetrical bending experiment 
 
Visually inspect all parts (including electrical leads) for...

Robert · Accepted Answer

UNSYMMETRICAL BENDING 
1. Rectangular Section:
a. Head angle 0 degree:
Head 
Angle: 0 
degrees     
Load (g) Left Dial 
Right 
Dial U  V 
0 0.00 0.00 0.000 0.000 
100 0.26 0.51 0.544 -0.177 
200 0.71 0.85 1.103 -0.099 
300 1.17 1.15 1.640 0.014 
400 1.63 1.49 2.206 0.099 
500 2.03 1.91 2.786 0.085
 

y = 0.0056x - 0.0094 
-0.500
0.000
0.500
1.000
1.500
2.000
2.500
3.000
0 100 200 300 400 500 600
U  
y = 0.0004x - 0.1104 
-0.200
-0.150
-0.100
-0.050
0.000
0.050
0.100
0.150
0 100 200 300 400 500 600
V
b. Head angle 22.5 degree:
Head 
Angle: 
22.5 
degrees     
Load (g) Left Dial 
Right 
Dial U  V 
0 0.00 0.00 0.000 0.000 
100 0.40 0.13 0.375 0.191 
200 1.58 0.42 1.414 0.820 
300 2.50 0.58 2.178 1.358 
400 3.52 0.75 3.019 1.959 
500 4.30 0.94 3.705 2.376
 
 
 
 
y = 0.0078x - 0.1626 
-0.500
0.000
0.500
1.000
1.500
2.000
2.500
3.000
3.500
4.000
0 100 200 300 400 500 600
U  
y = 0.0051x - 0.1485 
-0.500
0.000
0.500
1.000
1.500
2.000
2.500
3.000
0 100 200 300 400 500 600
V 
c. Head angle 45 degree:
Head 
Angle: 
45 
degrees     
Load (g) Left Dial 
Right 
Dial U  V 
0 0.00 0.00 0.000 0.000 
100 0.51 0.25 0.537 0.184 
200 2.28 0.76 2.150 1.075 
300 4.05 1.20 3.712 2.015 
400 6.81 1.69 6.010 3.620 
500 8.06 2.03 7.135 4.264
 
 
 

y = 0.0153x - 0.5751 
-2.000
0.000
2.000
4.000
6.000
8.000
0 100 200 300 400 500 600
U  
y = 0.0093x - 0.4667 
-1.000
0.000
1.000
2.000
3.000
4.000
5.000
0 100 200 300 400 500 600
V 
d. Head angle 67.5 degree:
Head 
Angle: 
67.5 
degrees     
Load (g) Left Dial 
Right 
Dial U  V 
0 0.00 0.00 0.000 0.000 
100 1.18 0.68 1.315 0.354 
200 2.59 1.58 2.949 0.714 
300 4.30 2.73 4.971 1.110 
400 5.92 3.95 6.979 1.393 
500 6.80 4.43 7.941 1.676
 

y = 0.0168x - 0.1684 
-2.000
0.000
2.000
4.000
6.000
8.000
10.000
0 100 200 300 400 500 600
U  
y = 0.0034x + 0.0249 
0.000
0.200
0.400
0.600
0.800
1.000
1.200
1.400
1.600
1.800
2.000
0 100 200 300 400 500 600
V 
e. Head angle 90 degree:
Head 
Angle: 
90 
degrees     
Load (g) Left Dial 
Right 
Dial U  V 
0 0.00 0.00 0.000 0.000 
100 0.63 0.54 0.827 0.064 
200 2.53 2.43 3.507 0.071 
300 3.69 3.62 5.169 0.049 
400 5.55 5.55 7.849 0.000 
500 6.97 7.06 9.921 -0.064
 
 
 
 
y = 0.0207x - 0.6209 
-2.000
0.000
2.000
4.000
6.000
8.000
10.000
12.000
0 100 200 300 400 500 600
U  
y = -0.0002x + 0.0579 
-0.080
-0.060
-0.040
-0.020
0.000
0.020
0.040
0.060
0.080
0 100 200 300 400 500 600
V 
f. Head angle 112.5 degree:
Head 
Angle: 
112.5 
degrees     
Load (g) Left Dial 
Right 
Dial U  V 
0 0.00 0.00 0.000 0.000 
100 0.54 0.71 0.884 -0.120 
200 1.13 1.59 1.923 -0.325 
300 1.93 2.92 3.429 -0.700 
400 3.71 5.99 6.859 -1.612 
500 4.62 7.07 8.266 -1.732
 

y = 0.0174x - 0.7798 
-2.000
0.000
2.000
4.000
6.000
8.000
10.000
0 100 200 300 400 500 600
U  
y = -0.0039x + 0.2168 
-2.000
-1.500
-1.000
-0.500
0.000
0.500
0 100 200 300 400 500 600
V 
g. Head angle 135 degree:
Head 
Angle: 
135 
degrees     
Load (g) Left Dial 
Right 
Dial U  V 
0 0.00 0.00 0.000 0.000 
100 0.39 0.79 0.834 -0.283 
200 0.83 2.09 2.065 -0.891 
300 1.31 3.45 3.366 -1.513 
400 1.84 4.83 4.716 -2.114 
500 2.40 5.91 5.876 -2.482
 

y = 0.0121x - 0.2138 
-1.000
0.000
1.000
2.000
3.000
4.000
5.000
6.000
7.000
0 100 200 300 400 500 600
U  
y = -0.0053x + 0.1094 
-3.000
-2.500
-2.000
-1.500
-1.000
-0.500
0.000
0.500
0 100 200 300 400 500 600
V 
h. Head angle 157.5 degree:
Head 
Angle: 
157.5 
degrees     
Load (g) Left Dial 
Right 
Dial U  V 
0 0.00 0.00 0.000 0.000 
100 0.22 0.76 0.693 -0.382 
200 0.52 1.35 1.322 -0.587 
300 0.79 2.06 2.015 -0.898 
400 0.98 2.92 2.758 -1.372 
500 1.25 3.61 3.437 -1.669
 
 
 

y = 0.0069x - 0.0152 
-0.500
0.000
0.500
1.000
1.500
2.000
2.500
3.000
3.500
4.000
0 100 200 300 400 500 600
U  
y = -0.0033x + 0.0125 
-2.000
-1.500
-1.000
-0.500
0.000
0.500
0 100 200 300 400 500 600
V 
i. Head angle 180 degree:
Head 
Angle: 
180 
degrees     
Load (g) Left Dial 
Right 
Dial U  V 
0 0.00 0.00 0.000 0.000 
100 0.42 0.21 0.445 0.148 
200 0.80 0.62 1.004 0.127 
300 1.20 1.04 1.584 0.113 
400 1.62 1.39 2.128 0.163 
500 2.00 1.69 2.609 0.219
 
 
 

y = 0.0053x - 0.0387 
-0.500
0.000
0.500
1.000
1.500
2.000
2.500
3.000
0 100 200 300 400 500 600
U  
y = 0.0003x + 0.0482 
0.000
0.050
0.100
0.150
0.200
0.250
0 100 200 300 400 500 600
V 
Table 6 
Loading Angle 
(deg) dU/dP (mm/g) 
dV/dP 
(mm/g) dU/dP (m/N) dV/dP (m/N) 
0 0.0056 0.0004 0.000570846 4.07747E-05 
22.5 0.0078 0.005 0.000795107 0.000509684 
45 0.

STRUCTURAL ENGINEERING LABORATORY Important: ? It is the students’ responsibility to read and comprehend the information contained in this document including relevant theories that covered in previous...

Solution

Answer To This Question Is Available To Download

Related Questions & Answers