1.24 As depicted in Fig. P1.24, the downward deflection y (m) of a cantilever beam with a uniform load w (kg/m) can be computed as y ;(x* – 4Lx° + 6L°x?) 24EI where x = distance (m), E = the modulus of elasticity = 2 x 10" Pa, I = moment of inertia = 3.25 x 10 m*, w = 10,000 N/m, and L = length = 4 m. This equation can be differentiated to yield the slope of the downward deflection as a function of x: dy :(4x- 12L + 12Lx) 24EI dx If y = 0 at.x = 0, use this equation with Euler's method (Ar = 0.125 m) to compute the deflection from .x 0 to L. Develop a plot of your results along with the analytical solution computed with the first equation. x= 0 x= L FIGURE P1.24 A cantilever beam.
1.24 As depicted in Fig. P1.24, the downward deflection y (m) of a cantilever beam with a uniform load w (kg/m) can be computed as y ;(x* – 4Lx° + 6L°x?) 24EI where x = distance (m), E = the modulus of elasticity = 2 x 10" Pa, I = moment of inertia = 3.25 x 10 m*, w = 10,000 N/m, and L = length = 4 m. This equation can be differentiated to yield the slope of the downward deflection as a function of x: dy :(4x- 12L + 12Lx) 24EI dx If y = 0 at.x = 0, use this equation with Euler's method (Ar = 0.125 m) to compute the deflection from .x 0 to L. Develop a plot of your results along with the analytical solution computed with the first equation. x= 0 x= L FIGURE P1.24 A cantilever beam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
PLEASE!!!! PUT IN THE TABLE.
FROM ANALYTICAL TO NUMERICAL.
I ONLY NEED THE ANALYTICAL DATA PLEASE
Transcribed Image Text:1.24 As depicted in Fig. P1.24, the downward deflection y (m) of a
cantilever beam with a uniform load w (kg/m) can be computed as
-(x* – 4Lx° + 6L?x²)
24EI
where x = distance (m), E = the modulus of elasticity = 2 x 10"
Pa, I = moment of inertia = 3.25 x 10* m*, w = 10,000 N/m, and
L = length = 4 m. This equation can be differentiated to yield the
slope of the downward deflection as a function of x:
dy
(4x- 12Lr + 12Lx)
dx 24EI
If y = 0 at.x = 0, use this equation with Euler's method (Ar = 0.125 m)
to compute the deflection from.x 0 to L. Develop a plot of your results
along with the analytical solution computed with the first equation.
x= 0
x=L
FIGURE P1.24
A cantilever beam.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning