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Beam Deflection Lab Report

The document describes an experiment to determine the deflection of a simply supported beam with a concentrated load at its midspan. It provides the objectives, equipment, theory of beam deflection, procedures, sample data table, and discusses comparing experimental and theoretical deflection values.

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114 views4 pages

Beam Deflection Lab Report

The document describes an experiment to determine the deflection of a simply supported beam with a concentrated load at its midspan. It provides the objectives, equipment, theory of beam deflection, procedures, sample data table, and discusses comparing experimental and theoretical deflection values.

Uploaded by

Syfull music
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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DEPARTMENT OF MECHANICAL ENGINEERING

DJJ3103: STRENGTH OF MATERIALS

LAB REPORT

TITLE:
DEFLECTION OF A SIMPLY SUPPORTED BEAM
(PRACTICAL TASK 3)

PREPARED FOR:
PUAN LYDIA ANAK ALING

PREPARED BY:
MOHD SAIFUL BIN SAFARI
20DKM18F2035

SESSION:
DECEMBER 2019
PRACTIAL TASK 3

EXPERIMENT : DEFLECTION OF A SUPPORTED BEAM

1. INTRODUCTION :
2. OBJECTIVES OF EXPERIMENT :
 To determine the deflection of a simply supported beam with concentrated load at
the midspan of beam by experiment.
 To compare the experimental deflection with the theoretical value.

3. EQUIPMENT/APPARATUS :
 Beam apparatus
 Stainless Steel bar
 Dial Gauge
 Vernier Caliper
 Allen Key Set
 Load Set

4. THEORY :

A B h
b
L/2

Figure 3.0: Simply Supported Beam with a Concentrated Load

The reaction forces of the beam at A and B can be determined by Force Equilibrium
Equation, Eq. 3.1, and Moment Equilibrium Equation, Eq. 3.2, as follows;

∑ F=0 Eqn. 3.1

∑ M =0 Eqn. 3.2
While, the deflection of the beam can be determined by integrate twice the equation
of elastic curve of the beam.
2
d y M
2
= Eq. 3.3
d x EI
Where,
M = bending moment equation at any point of the beam
E = Young’s Modulus of the beam
I = second moment of area of the beam
Since, M is a known function of x and EI is constant, the first integration is;
2
d y
2 ∫
EI = Mdx +C 1 Eq. 3.4
dx

A second integration which is known as a deflection equation, becomes;


EI y =∬ Mdxdx+C 1 x +C 2 Eq. 3.5

Where, C1 and C2 are constant of integration which can be determined by


substituting the boundary condition of the beam into Eq. 3.4 and Eq. 3.5.

5. PROCEDURES :
6. DATA & RESULTS :
Dimension of Beam:
Length, L = ………………… mm
Width, b = ………………… mm
Height, h = ………………… mm

Result:

Load, W Reaction Force Deflection, y


No.
(N) RA (N) RB (N) (mm)
1
2
3
4
5
7. DISCUSSIONS :
 Derive the deflection equation for a simply supported beam with a concentrated load
at the midspan of the beam.
 Calculate the deflection at the midspan of the beam for each of load used in the
experiment.
 Compare the value of the experimental and theoretical deflection of the beam.

8. CONCLUSIONS :

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