Deflection Of Beams And Cantilevers
Ruben Perez
Kanstantsin Varennikau
Adrien Francois
04/13/15
Deflection of Beams and Cantilevers
(Lab 3)
Objectives:
In the first experiment, our objective was to examine the deflection of a cantilever that had an increasing point load. In the second experiment, our objective was to examine the deflection of simple supported beam that had an increasing point load. Experimental Setup:
During the experiment we will be using a Test Frame machine to calculate the deflection of a cantilever. We used three different materials to see the varying deflections. We set the beams at different lengths to see the relation between the deflection and the length.
Procedure for Experiment 1:
1. Use a vernier gauge to measure the width and depth of each kind of material (aluminum, brass, and steel) and record the data in a table
2. Using the depth and and width find the second moment of inertia,
I
3. Set up the cantilevers to correct length of 200 mm
4. Slide and lock the Digital Dial Test Indicator to the 200 mm mark
5. Zero the indicator and apply the following masses to it and then record them
○ 100 g
○ 200 g
○ 300 g
○ 400 g
○ 500 g
6. Repeat and record the same steps for all the materials
Discussion Questions:
It’s a good idea to tap the frame each time we take a reading to make sure the indicator is calibrated. The shape of the graph is uniformly linear.This tells us that depending on the dimensions and the type of material, it will affect the deflection at a constant rate. Based on the data we can say that the equation that was used to find the deflection works perfectly. Three applications of a cantilever structure can be seen on shelving, the structure of a spiral staircase, and extending structures, like the roof of a stadium. Plots: [On attached sheets]
Procedure for Experiment 2:
Part 1:
1. We used a vernier gauge to measure the width and
Kanstantsin Varennikau
Adrien Francois
04/13/15
Deflection of Beams and Cantilevers
(Lab 3)
Objectives:
In the first experiment, our objective was to examine the deflection of a cantilever that had an increasing point load. In the second experiment, our objective was to examine the deflection of simple supported beam that had an increasing point load. Experimental Setup:
During the experiment we will be using a Test Frame machine to calculate the deflection of a cantilever. We used three different materials to see the varying deflections. We set the beams at different lengths to see the relation between the deflection and the length.
Procedure for Experiment 1:
1. Use a vernier gauge to measure the width and depth of each kind of material (aluminum, brass, and steel) and record the data in a table
2. Using the depth and and width find the second moment of inertia,
I
3. Set up the cantilevers to correct length of 200 mm
4. Slide and lock the Digital Dial Test Indicator to the 200 mm mark
5. Zero the indicator and apply the following masses to it and then record them
○ 100 g
○ 200 g
○ 300 g
○ 400 g
○ 500 g
6. Repeat and record the same steps for all the materials
Discussion Questions:
It’s a good idea to tap the frame each time we take a reading to make sure the indicator is calibrated. The shape of the graph is uniformly linear.This tells us that depending on the dimensions and the type of material, it will affect the deflection at a constant rate. Based on the data we can say that the equation that was used to find the deflection works perfectly. Three applications of a cantilever structure can be seen on shelving, the structure of a spiral staircase, and extending structures, like the roof of a stadium. Plots: [On attached sheets]
Procedure for Experiment 2:
Part 1:
1. We used a vernier gauge to measure the width and