Beam Test

Objective:

To study the modes of vibrations of a square plate simply supported on all edges.

Apparatus used:

Square Plate

Specimen 1

Enter the Length of Plate, L (in meters) :

*

Enter thickness of Plate, B (in meters) :

*

Enter Poison's ratio :

*

Step 1 a) Click on Add button to bring pillers in the lab. b) Click on add button to bring Beam in the lab. c) Click on piller to arrange them in right position. d) Click on Beam to put it on the pillers.

Specimen 1

Enter the density of plate (in kg/m³) :

*

Enter the Young's modulus of Elasticity E, of plate (in N/m²) :

*

Select the value of m & n:

*

Note: Young modulus, is a mechanical property that measures the stiffness of a solid material. It defines the relationship between stress (force per unit area) and strain (proportional deformation) in a material in the linear elasticity regime of a uniaxial deformation.

Specimen 1

Frequency,f_n (in Hz) :

Repeat from step 2 for other two specimen.

Specimen 2

Note: Enter different values of length for different no. of specimen

Enter the Length of Plate, L (in meters) :

*

Enter thickness of Plate, B (in meters) :

*

Enter Poison's ratio :

*

Step 2 a) Click on Add button to bring pillers in the lab. b) Click on add button to bring Beam in the lab. c) Click on piller to arrange them in right position. d) Click on Beam to put it on the pillers.

Specimen 2

Note: Enter different values of Young's modules of elasticity (E) for different no. of specimen

Enter the density of plate (in kg/m³) :

*

Enter the Young's modulus of Elasticity E, of plate (in N/m²) :

*

Select the value of m & n:

*

Note: Young modulus, is a mechanical property that measures the stiffness of a solid material. It defines the relationship between stress (force per unit area) and strain (proportional deformation) in a material in the linear elasticity regime of a uniaxial deformation.

Specimen 2

Frequency,f_n (in Hz) :

Repeat the whole experiment for last one specimen.

Specimen 3

Note: Enter different values of length for different no. of specimen

Enter the Length of Plate, L (in meters) :

*

Enter thickness of Plate, B (in meters) :

*

Enter Poison's ratio :

*

Step 3 a) Click on Add button to bring pillers in the lab. b) Click on add button to bring Beam in the lab. c) Click on piller to arrange them in right position. d) Click on Beam to put it on the pillers.

Specimen 3

Note: Enter different values of Young's modules of elasticity (E) for different no. of specimen

Enter the density of plate (in kg/m³) :

*

Enter the Young's modulus of Elasticity E, of plate (in N/m²) :

*

Select the value of m & n:

*

Note: Young modulus, is a mechanical property that measures the stiffness of a solid material. It defines the relationship between stress (force per unit area) and strain (proportional deformation) in a material in the linear elasticity regime of a uniaxial deformation.

Specimen 3

Frequency,f_n (in Hz) :

Repeat the whole experiment for last one specimen.

Plot graph between Length & Calculated Frequency

Length :	L1 :	L2 :	L3 :
Frequency :	F1 :	F2 :	F3 :

Plot graph between Elasticity & Calculated Frequency

Elasticity :	E1 :	E2 :	E3 :
Frequency :	F1 :	F2 :	F3 :

Thank You for performing Experiment, to repeat experiment click Restart button.

Modes of Vibration of Simply Supported Square Plate