HW11_4 A uniform beam is simply supported at both ends and is subjected to a load. The deflection of the beam is given by the differential equation d²y M(x) x (m) 0 0.2 0.4 0.6 0.8 1.0 dx? El y (cm) 0 7.78 | 10.68 8.38 3.97 0 where y is the deflection, x is the coordinate measured along the length of the beam, M(x) is the bending moment, and El = 1.2 × 10°N · m² is the flexural rigidity of the beam. The data shown in the table is obtained from measuring the deflection of the beam vs position. Find the bending moment M(x) at each location x from this given data. Print the results in a table.
HW11_4 A uniform beam is simply supported at both ends and is subjected to a load. The deflection of the beam is given by the differential equation d²y M(x) x (m) 0 0.2 0.4 0.6 0.8 1.0 dx? El y (cm) 0 7.78 | 10.68 8.38 3.97 0 where y is the deflection, x is the coordinate measured along the length of the beam, M(x) is the bending moment, and El = 1.2 × 10°N · m² is the flexural rigidity of the beam. The data shown in the table is obtained from measuring the deflection of the beam vs position. Find the bending moment M(x) at each location x from this given data. Print the results in a table.
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Transcribed Image Text:HW11_4 A uniform beam is simply supported at both ends and is subjected to a load. The deflection of the
beam is given by the differential equation
d²y
M(x)
x (m) 0 0.2
0.4
0.6
0.8
1.0
dx?
El
y (cm) 0 7.78 | 10.68 8.38 3.97 0
where y is the deflection, x is the coordinate measured along the length of the beam, M(x) is the bending
moment, and El = 1.2 × 10°N · m² is the flexural rigidity of the beam. The data shown in the table is obtained
from measuring the deflection of the beam vs position. Find the bending moment M(x) at each location x from
this given data. Print the results in a table.
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