(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
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
(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:(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;
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))
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))
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