A propped cantilever beam is loaded by a bending moment of the magnitude MB at the point B as shown in Figure Q1. The cross-section of the beam is a rectangle of the width w and the hight h that are constant along the length of the beam L. The beam material's Young's modulus is Q. AY A |- B X Figure Q1 Assuming the positive deflections and positive vertical reaction forces are upward, calculate o the value of the reaction forces at points A and B o the absolute value of the reaction bending moment at point A

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 9.3.15P: A cantilever beam has a length L = 12 ft and a rectangular cross section (b = 16 in., h = 24 in.), A...
icon
Related questions
Question

answer this ; 

Let ? represent the reaction force at Support B. By releasing the beam at Support B and imposing a force ? at Point B, the deflection of the beam consists of two parts,i.e.

Part I- the deflection caused by ?? ;

Part II- the deflection caused by ?

Please treat R, w, h , L , E  as variables in this step , the mathematical equation for the deflection at Point B caused by ? ( Part II) can be written as 

(Hint : to input equation ?2??2?ℎ , you can type  (R^2*L)/(Q^2*w*h) )

A propped cantilever beam is loaded by a bending moment of the magnitude MB at the
point B as shown in Figure Q1. The cross-section of the beam is a rectangle of the
width w and the hight h that are constant along the length of the beam L. The beam
material's Young's modulus is Q.
AY
1
A
B
MB
X
Figure Q1
Assuming the positive deflections and positive vertical reaction forces are upward,
calculate
o the value of the reaction forces at points A and B
o the absolute value of the reaction bending moment at point A
Transcribed Image Text:A propped cantilever beam is loaded by a bending moment of the magnitude MB at the point B as shown in Figure Q1. The cross-section of the beam is a rectangle of the width w and the hight h that are constant along the length of the beam L. The beam material's Young's modulus is Q. AY 1 A B MB X Figure Q1 Assuming the positive deflections and positive vertical reaction forces are upward, calculate o the value of the reaction forces at points A and B o the absolute value of the reaction bending moment at point A
Let R represent the reaction force at Support B. By releasing the beam at Support B
and imposing a force R at Point B, the deflection of the beam consists of two
parts,i.e.
Part I- the deflection caused by MB;
Part II- the deflection caused by R
Please treat R, w, h, L, E as variables in this step, the mathematical equation for
the deflection at Point B caused by R (Part II) can be written as
(Hint: to input equation
R² L
Q² wh
"
you can type (R^2*L)/(Q^2*w*h) )
Transcribed Image Text:Let R represent the reaction force at Support B. By releasing the beam at Support B and imposing a force R at Point B, the deflection of the beam consists of two parts,i.e. Part I- the deflection caused by MB; Part II- the deflection caused by R Please treat R, w, h, L, E as variables in this step, the mathematical equation for the deflection at Point B caused by R (Part II) can be written as (Hint: to input equation R² L Q² wh " you can type (R^2*L)/(Q^2*w*h) )
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Types of Loading
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