The simply supported aluminum beam shown is fabricated from a W356 x 122 wide-flange section. 4/3 19⁰0 qo Given: • L = 19.5 m • 9o = 4 kN/m B₁ B₂ = 33 = C₁ = C₂ = ←4/2 Write an elastic curve equation valid for the entire beam in the following form: y(x) = ³₁x³ + B₂ < x-9.75 >4 + 83 <2-16.25 + C₁ + C₂] Place the coordinate system origin (x = 0) at the left end of the beam. Give values for the missing terms, in the units listed. || number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) L number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) kN kN/m kN/m kN.m² kN.m³ Determine the mid-span deflection and the slope at both ends. Ymid = number (rtol=0.01, atol=1e-05) Yleft-end Fright-end mm

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
icon
Related questions
Question
HW6.4. Simply Supported Beam with a Uniformly Distributed Load
The simply supported aluminum beam shown is fabricated from a W356 x 122 wide-flange section.
¹/3.
Given:
L = 19.5 m
9o = 4 kN/m
-4/2
B₁1=
B₂ =
B3 =
C₁ =
C₂ =
Write an elastic curve equation valid for the entire beam in the following form:
y(x) = [B₁x³ + B₂<x-9.75 >4 + 83 <2-16.25> + C₁ª + €₂]
Place the coordinate system origin (x = 0) at the left end of the beam. Give values for the missing terms, in
the units listed.
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
L
Ymid = number (rtol=0.01, atol=1e-05)
Yleft-end
Fright-end
Determine the mid-span deflection and the slope at both ends.
number (rtol=0.01, atol=1e-05)
= number (rtol=0.01, atol=1e-05)
qo
kN
kN/m
kN/m →
kN. m²
kN. m³
mm
Transcribed Image Text:HW6.4. Simply Supported Beam with a Uniformly Distributed Load The simply supported aluminum beam shown is fabricated from a W356 x 122 wide-flange section. ¹/3. Given: L = 19.5 m 9o = 4 kN/m -4/2 B₁1= B₂ = B3 = C₁ = C₂ = Write an elastic curve equation valid for the entire beam in the following form: y(x) = [B₁x³ + B₂<x-9.75 >4 + 83 <2-16.25> + C₁ª + €₂] Place the coordinate system origin (x = 0) at the left end of the beam. Give values for the missing terms, in the units listed. number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) L Ymid = number (rtol=0.01, atol=1e-05) Yleft-end Fright-end Determine the mid-span deflection and the slope at both ends. number (rtol=0.01, atol=1e-05) = number (rtol=0.01, atol=1e-05) qo kN kN/m kN/m → kN. m² kN. m³ mm
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 15 images

Blurred answer
Knowledge Booster
Design of Beams and Shafts
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY