Asymmetrical Bending Report Updated
MM2MS3
Asymmetrical Bending Laboratory Report
Date of Laboratory:
Name of Student:
Student ID:
Summary
Asymmetrical bending is bending couples acting in a plane of symmetric. If loads do not act in plane of symmetry, this leads to deflection in a plane perpendicular to the loading plane as well as in the loading plane. This coupling does not occur if the loading is in principal plane.
The experiment was conducted to investigate the deflections of the tip of a cantilever when loaded transversely in directions not coinciding with the principal axes of the cross section, and also to determine:
1. The directions and orientations of the principal axes of an equal section.
2. The sideways of deflections when the deflection is occurred along the line of loading, having maximum and minimum values of load.
3. The values of the principal second moments of area of the section by experiment and by theoretical calculations.
First of all, values of deflections (δv, δh) were calculated for various head angles and loads as shown in Table 1-8. These deflection values were plotted against Load and gradients of the graphs of δv/W and δh/W were found out for various angles as shown in Figure 1-8 and stored in table 9. A graph was plotted between δv/W and δh/W which results in a circle. From the circle, values of offset and radius were used to calculate Principal second moments of area and orientation of principal axes.
From the experiment results, the values of principal second moment of area obtained from experiment are respectively. Based on theoretical calculations, the values of principal second moment of area for are respectively. The direction of the principal axis of an equal angle section is -30.58⁰.
Results
Experimental
Step (a)
Results obtained from experiment are given below in Tables in which Loads and Head angles are varied.
Angle (⁰)
Load (g) left dial right dial δv (mm) δh (mm)
0⁰
0
0
0
0.000
0.000
100
0.5
0.44
0.665
0.042
200
2.48
0.94
Asymmetrical Bending Laboratory Report
Date of Laboratory:
Name of Student:
Student ID:
Summary
Asymmetrical bending is bending couples acting in a plane of symmetric. If loads do not act in plane of symmetry, this leads to deflection in a plane perpendicular to the loading plane as well as in the loading plane. This coupling does not occur if the loading is in principal plane.
The experiment was conducted to investigate the deflections of the tip of a cantilever when loaded transversely in directions not coinciding with the principal axes of the cross section, and also to determine:
1. The directions and orientations of the principal axes of an equal section.
2. The sideways of deflections when the deflection is occurred along the line of loading, having maximum and minimum values of load.
3. The values of the principal second moments of area of the section by experiment and by theoretical calculations.
First of all, values of deflections (δv, δh) were calculated for various head angles and loads as shown in Table 1-8. These deflection values were plotted against Load and gradients of the graphs of δv/W and δh/W were found out for various angles as shown in Figure 1-8 and stored in table 9. A graph was plotted between δv/W and δh/W which results in a circle. From the circle, values of offset and radius were used to calculate Principal second moments of area and orientation of principal axes.
From the experiment results, the values of principal second moment of area obtained from experiment are respectively. Based on theoretical calculations, the values of principal second moment of area for are respectively. The direction of the principal axis of an equal angle section is -30.58⁰.
Results
Experimental
Step (a)
Results obtained from experiment are given below in Tables in which Loads and Head angles are varied.
Angle (⁰)
Load (g) left dial right dial δv (mm) δh (mm)
0⁰
0
0
0
0.000
0.000
100
0.5
0.44
0.665
0.042
200
2.48
0.94