A propped cantilever beam is loaded by a bending moment of the magnitude Mã 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 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
A propped cantilever beam is loaded by a bending moment of the magnitude Mã 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 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
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 9.3.17P: -17 A cantilever beam AB is acted upon by a uniformly distributed moment (bending moment, not...
Related questions
Question
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 R2LQ2wh , you can type (R^2*L)/(Q^2*w*h) )
b) Using the provided data:
- cross-section width w = 20 mm,
- cross-section hight h = 93 mm,
- length of the beam L =3 m ,
- beam material’s Young’s modulus Q =226 GPa,
- applied bending moment MB = 11 kN.m
The value of the deflection at Point B caused by MB ( Part I) can be calculated as ......(in mm)
AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
Unlock instant AI solutions
Tap the button
to generate a solution
Recommended textbooks for you
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning