please write a lab report based on the template. I will attach Lab report template, lab data, lecture note shows the calculations needed, and lap report example .
The purpose of this lab is to determine the Young’s modulus of a material by measuring the deflection of a beam.
Theory
The deflection of a beam can be calculated using the following equation:
δ=PL/YI
Where δ is the deflection (m), P is the applied load (N), L is the length of the beam (m),
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The Young’s modulus of a material can be calculated using the following equation:
Y=PL/δI
Where Y is the Young’s modulus of the material (Pa), P is the applied load (N), L is the length of the beam (m), δ is the deflection of the beam (m), and I is the moment of inertia of the beam (m4).
The moment of inertia of a beam can be calculated using the following equation:
I=bh3/12
Where I is the moment of inertia (m4), b is the width of the beam (m), and h is the height of the beam (m).
Procedure
1. Measure the dimensions of the beam.
2. Calculate the moment of inertia of the beam.
3. Apply a load to the beam and measure the deflection.
4. Calculate the Young’s modulus of the material.
Data
Beam dimensions:
Width (b): _____m
Height (h): _____m
Length (L): _____m
Moment of inertia (I): _____m4
Applied load (P): _____N
Deflection (δ): _____m
Calculations
1. Calculate the moment of inertia of the beam.
I=bh3/12
I=_____m4
2. Calculate the Young’s modulus of the material.
Y=PL/