A wooden beam is loaded by a concentrated load P = 2000 N and supported by boundary conditions as shown in Figure Q5(a). The cross-section of the beam is shown in Figure Q5(b). Given that LAB = 2100 mm, LBC = 2900 mm, Bo=10 mm, B₁ = 20 mm, and H= 240 mm, ho=200 mm, h₁ =20 mm, determine the following quantities below: b) Calculate support reactions in A and B, following the defined sign convection. Reaction forces at point A, considering the sign: x-direction: XA= N, y-direction: YA= Reaction forces at point B, considering the sign: x-direction: XB= N, y-direction: YB= Internal shear force equation: V(x) = Internal bending moment equation: M(x) = c) Calculate the equations of internal shear force V(x) and bending moment M(x). Type the mathematical expressions or constants, following the defined sign convection. Section AB: Section BC: Internal shear force equation: V(x) = Internal bending moment equation: M(x) = N N N N N*mm N'mm

A wooden beam is loaded by a concentrated load P = 2000 N and supported by boundary conditions as shown in Figure Q5(a). The cross-section of the beam is shown in Figure Q5(b). Given that LAB = 2100 mm, LBC = 2900 mm, Bo=10 mm, B₁ = 20 mm, and H= 240 mm, ho=200 mm, h₁ =20 mm, determine the following quantities below: b) Calculate support reactions in A and B, following the defined sign convection. Reaction forces at point A, considering the sign: x-direction: XA= N, y-direction: YA= Reaction forces at point B, considering the sign: x-direction: XB= N, y-direction: YB= Internal shear force equation: V(x) = Internal bending moment equation: M(x) = c) Calculate the equations of internal shear force V(x) and bending moment M(x). Type the mathematical expressions or constants, following the defined sign convection. Section AB: Section BC: Internal shear force equation: V(x) = Internal bending moment equation: M(x) = N N N N N*mm N'mm

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

Question

A wooden beam is loaded by a concentrated load P = 2000 N and supported by boundary conditions as
shown in Figure Q5(a). The cross-section of the beam is shown in Figure Q5(b). Given that LAB = 2100
mm, LBC = 2900 mm, Bo=10 mm, B₁ = 20 mm, and H= 240 mm, ho=200 mm, h₁ =20 mm, determine
the following quantities below:
b) Calculate support reactions in A and B, following the defined sign convection.
Reaction forces at point A, considering the sign:
N, y-direction: YA=
x-direction: XA=
Reaction forces at point B, considering the sign:
x-direction: XB=
N, y-direction: Yg=
Internal shear force equation: V(x) =
Internal bending moment equation: M(x) =
c) Calculate the equations of internal shear force V(x) and bending moment M(x). Type
the mathematical expressions or constants, following the defined sign convection.
Section AB:
Section BC:
Internal shear force equation: V(x) =
Internal bending moment equation: M(x) =
(a)
X
LAB
Ав
LBC
N
N
N
C
N
Nᵒmm
N*mm
(b)
hi
Cross-section
h₁
B1
Bo
Figure Q5: (a) The boundary condition of the wooden beam (b) cross-section of the beam
ho
H
y₂
2

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