Introduction To Finite Element Analysis And Design
2nd Edition
ISBN: 9781119078722
Author: Kim, Nam H., Sankar, Bhavani V., KUMAR, Ashok V., Author.
Publisher: John Wiley & Sons,
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A propped cantilever beam is loaded by a bending moment of the magnitude M_B 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.
Assuming the positive deflections and positive vertical reaction forces are upward, calculate
the value of the reaction forces at points 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 M_B ;
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:
b)
Using the provided data:
cross-section width w = 14 mm,
cross-section hight h = 82…
A propped cantilever beam is loaded by a bending moment of the magnitude M_B 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.
Assuming the positive deflections and positive vertical reaction forces are upward, calculate
the value of the reaction forces at points 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 M_B ;
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:
b)
Using the provided data:
cross-section width w = 14 mm,
cross-section hight h = 82…
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