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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f40e488-8d31-4ebf-93c2-8a5fabf31b11%2F45b443a1-b8cc-4f91-b669-b829b003f4d5%2Fkx6e7ur_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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