The arclength of the curve y = f(x) over the interval a Sxsbis given by rom the given by the following formula Find the are length for f(x) = 0.1x(30 - x),0 sx S 20. Apply Simpson rule with n=10
The arclength of the curve y = f(x) over the interval a Sxsbis given by rom the given by the following formula Find the are length for f(x) = 0.1x(30 - x),0 sx S 20. Apply Simpson rule with n=10
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please try to solve B part because i have no idea of part b
![a. Consider a uniform beam of 2m long simply supported at both ends, the bending moment
is given by the following relation y"(x) = M(x)/E, where y(x) is the deflection, M is the
bending moment and E is the flexeural rigidity. Calculate the bending moment at each grid-
point including the two end points assuming that the deflection distribution is among the
following
x (in m)
y(x)
| cm)
Assume E = 1.2 × 10°NM²
Estimate the values of bending moment M(0.27)
b. The arclength of the curve y = f(x) over the interval a S x S bis given by rom the given by the
following formula
L = I+[S'(x)]*dx
Find the are length for f(x) = 0.1x(30 – x), 0 <x< 20. Apply Simpson rule with n=10
| 0.2
7.78
0.4
| 10.68
0.6
| 8.37
0.8
3.97
(in 0.0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb98d4976-dfe5-423d-a867-b28764cfe2b8%2F8a3e3f1e-8b80-4c6d-9097-1efbd25bbf77%2Fdclhxp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a. Consider a uniform beam of 2m long simply supported at both ends, the bending moment
is given by the following relation y"(x) = M(x)/E, where y(x) is the deflection, M is the
bending moment and E is the flexeural rigidity. Calculate the bending moment at each grid-
point including the two end points assuming that the deflection distribution is among the
following
x (in m)
y(x)
| cm)
Assume E = 1.2 × 10°NM²
Estimate the values of bending moment M(0.27)
b. The arclength of the curve y = f(x) over the interval a S x S bis given by rom the given by the
following formula
L = I+[S'(x)]*dx
Find the are length for f(x) = 0.1x(30 – x), 0 <x< 20. Apply Simpson rule with n=10
| 0.2
7.78
0.4
| 10.68
0.6
| 8.37
0.8
3.97
(in 0.0
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