a) Plot a graph of beam deflection versus load and calculate the stiffness k of the beam using W 8 where, 8 = Beam deflection W = Weight of load
a) Plot a graph of beam deflection versus load and calculate the stiffness k of the beam using W 8 where, 8 = Beam deflection W = Weight of load
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
Here are the final answers as your reference for question 1)b.
?x=400mm = 1.4235 × 1011 N/m2
?y=500mm = 1.7348 × 1011 N/m2
?z=600mm = 1.8229 × 1011 N/m2
?steel = 1.6604 × 1011 N/m2
![Distance between fulcrum (mm)
Load (N)
400
500
600
Beam Deflection (mm)
5
0.15
0.20
0.30
10
0.20
0.35
0.55
15
0.30
0.50
0.85
20
0.40
0.65
1.10
25
0.50
0.80
1.40
1) The above table is a beam deflection data for Steel. The height,h=6.5mm, width,b=19.1mm
and length,l=1350.
a) Plot a graph of beam deflection versus load and calculate the stiffness k of the beam using
W
k=
where,
8 = Beam deflection
W = Weight of load
b) Calculate the area moment of inertia I and the average modulus of elasticity E of each
sample beam. Use the following formulas:
8
W1³
48EI
and
I
bh³
12
Where,
where,
8 Beam deflection
b = Width of the beam
W = Weight of load
h = Height of the beam
1 = Beam length
E = Elastic modulus
I= Area moment of inertia
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6509279-77b5-43d7-929e-2b6db66a5514%2F1880f21a-2261-4cfb-bf48-ec8620bb4b3b%2F6qzecv_processed.png&w=3840&q=75)
Transcribed Image Text:Distance between fulcrum (mm)
Load (N)
400
500
600
Beam Deflection (mm)
5
0.15
0.20
0.30
10
0.20
0.35
0.55
15
0.30
0.50
0.85
20
0.40
0.65
1.10
25
0.50
0.80
1.40
1) The above table is a beam deflection data for Steel. The height,h=6.5mm, width,b=19.1mm
and length,l=1350.
a) Plot a graph of beam deflection versus load and calculate the stiffness k of the beam using
W
k=
where,
8 = Beam deflection
W = Weight of load
b) Calculate the area moment of inertia I and the average modulus of elasticity E of each
sample beam. Use the following formulas:
8
W1³
48EI
and
I
bh³
12
Where,
where,
8 Beam deflection
b = Width of the beam
W = Weight of load
h = Height of the beam
1 = Beam length
E = Elastic modulus
I= Area moment of inertia
=
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