A propped cantilever beam is loaded by a bending moment of the magnitude M3 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 / that are constant along the length of the beam L. The beam material's Young's modulus is Q. 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 0 the absolute value of the reaction bending moment at point A

Structural Analysis
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Chapter2: Loads On Structures
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A propped cantilever beam is loaded by a bending moment of the magnitude M3 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 / that
are constant along the length of the beam L. The beam material's Young's modulus is Q.
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)
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
Transcribed Image Text:A propped cantilever beam is loaded by a bending moment of the magnitude M3 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 / that are constant along the length of the beam L. The beam material's Young's modulus is Q. 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) 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
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