Use Castigliano's theorem to determine the magnitude of deflection at midspan for the solid steel shaft shown in the figure, where a = 3 in, b= 7 in, da = 1.125 in, db=1.875 in, and w=160 lbf/in. da a d₂ W b a da The magnitude of deflection at the mid-span of the beam is 0.016265 in.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.6.10P: -10 The simple beam AB shown in the figure supports two equal concentrated loads P: one acting...
icon
Related questions
Question
2 thumbs up if u get it right make sure ur units for final answer match questions
Use Castigliano's theorem to determine the magnitude of deflection at midspan for the solid steel shaft shown in the figure, where a =
3 in, b= 7 in, da = 1.125 in, db = 1.875 in, and w=160 lbf/in.
da
a →
db
W
b
A
The magnitude of deflection at the mid-span of the beam is 0.016265 * in.
6. Simple supports-intermediate load
a
+
·1
F
B
da
b
с
R₂
x
R₁ =
VAB = R₁
MAB =
YAB =
Fb
1
Увс =
Fbx
1
Fbx
6EI1
Fa
R₂ =
1
VBC-R₂
Fa
MBC= -(1-x)
1
; (x² + b² −1²)
Fa (1-x)
6EI1
-(x² + a² - 21x)
Page 1032
Transcribed Image Text:2 thumbs up if u get it right make sure ur units for final answer match questions Use Castigliano's theorem to determine the magnitude of deflection at midspan for the solid steel shaft shown in the figure, where a = 3 in, b= 7 in, da = 1.125 in, db = 1.875 in, and w=160 lbf/in. da a → db W b A The magnitude of deflection at the mid-span of the beam is 0.016265 * in. 6. Simple supports-intermediate load a + ·1 F B da b с R₂ x R₁ = VAB = R₁ MAB = YAB = Fb 1 Увс = Fbx 1 Fbx 6EI1 Fa R₂ = 1 VBC-R₂ Fa MBC= -(1-x) 1 ; (x² + b² −1²) Fa (1-x) 6EI1 -(x² + a² - 21x) Page 1032
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Slope and Deflection
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
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