MOI UNIVERSITY
SCHOOL OF ENGINEERING
DEPARTMENT: MECHANICAL AND PRODUCTION ENGINEERING
COURSE TITLE: SOLID MECHANICS
COURSE CODE: MPE 222
NAME: NICK SHADRACK ODHIAMBO
ADMISSION NUMBER: MPE/4278/21
PRACTICAL ON BEAMS
02/08/2022
BEAM DEFLECTION TEST
Dimensions of all the beams
Beam 1 =steel Beam 2=brass
Length=130cm Thickness=0.64cm
Width=2.56cm Length=130cm
Thickness=0.78cm Width=2.55cm
Beam 3=thinnest
Length=137cm
Width=2.54cm
Thickness=0.50cm
Beam 1 deflection test
Span in meters Meters To the right Deflection in mm Centre load in grams
1.2 150 1.45 500
1.2 300 1.10 500
1.2 450 0.60 500
Span in meters Meters To the left Deflection in mm Centre load in grams
1.2 150 1.43 500
1.2 300 1.06 500
1.2 450 0.56 500
Span in meters Load at geometric Centre Deflection in mm Centre load in grams
1.0 0.93
0.8 0.45
0.6 0.2
Overhanging load
Span in meters Load in grams Deflection in mm
1.0 500 0.3
1.0 1000 0.6
1.0 1100 0.66
Practical of interchanging with a span of 1.20m
Δ1 Δ2 interchanging
a 100 300
b 300 100
Load in grams 500 500
Deflection in mm 0.33 0.35
Δ1 Δ2 interchanging
a 150 350
b 350 150
Load in grams 500 500
Deflection in mm 0.52 0.54
Δ1 Δ2 interchanging
a 200 400
b 400 200
Load in grams 500 500
Deflection in mm 0.72 0.72
COMPARING THE VALUES OF Δ1 Δ2 interchanging
We note that the deflection due to load at b is almost the same as deflection of b due load at a in the
interchanging. This agrees with Maxwell’s reciprocal theory. The reason they are not exactly equal is due
to experimental errors.
Determining the value of E from the graph
δ
E=
ε
P 500× 10−3 ×9.81
δ= = =147.385N/m2
A 1.3× 0.0256
e=LOG Δ-1=log-1 0.079818=0.00176m
147.385
E= =176.544×106
0.00176
The young’s modulus is close to the one of steel which ranges from( 191 to 205 )×10 6GPA
