(b) Using the provided data: cross-section width w = 16 mm, cross-section hight h = 62 mm, length of the beam L = 3 m, beam material's Young's modulus Q =228 GPa, applied bending moment MB The value of the deflection at Point B caused by MB (Part 1) can be calculated as ● ● ● ● (c) mm = 12 kN.m Based on the given values of dimensions and material parameters, the value of R can be calculated as KN; the value of the vertical reaction force at Support A can be calculated as the value of the horizontal reaction force at Support A can be calculated as kN the absolute value of the reaction moment at Support A can be calculated as kN.m kN;
(b) Using the provided data: cross-section width w = 16 mm, cross-section hight h = 62 mm, length of the beam L = 3 m, beam material's Young's modulus Q =228 GPa, applied bending moment MB The value of the deflection at Point B caused by MB (Part 1) can be calculated as ● ● ● ● (c) mm = 12 kN.m Based on the given values of dimensions and material parameters, the value of R can be calculated as KN; the value of the vertical reaction force at Support A can be calculated as the value of the horizontal reaction force at Support A can be calculated as kN the absolute value of the reaction moment at Support A can be calculated as kN.m kN;
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
Related questions
Question

Transcribed Image Text:(b)
Using the provided data:
cross-section width w = 16 mm,
cross-section hight h = 62 mm,
length of the beam L = 3
beam material's Young's modulus Q =228 GPa,
applied bending moment MB = 12 kN.m
The value of the deflection at Point B caused by MB (Part I) can be calculated as
●
●
●
●
●
(c)
mm
m,
Based on the given values of dimensions and material parameters,
the value of R can be calculated as
kN;
the value of the vertical reaction force at Support A can be calculated as
the value of the horizontal reaction force at Support A can be calculated as
KN
the absolute value of the reaction moment at Support A can be calculated as
kN.m
kN;

Transcribed Image Text:Question 1
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.
X
Figure Q1
Assuming the positive deflections and positive vertical reaction forces are upward,
calculate
O
the value of the reaction forces at ints A and B
the absolute value of the reaction bending moment at point A
(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
R²L
Qwh you can type (R^2*L)/(Q^2*w*h))
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 4 images

Knowledge Booster
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.Recommended textbooks for you

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY

Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning

Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY