Question 2 A cross-section of a beam is shown in Figure Q2. If the shear force in this section is V = 125 KN, determine the value and the location of the maximum shear stress in the section. In Figure Q2, a = 30 mm and the origin of the coordinate system is at centroid of the cross section. Z y= Z= A a I₁ = 4) 4a Figure Q2 mm; mm; k Answer The vertical coordinate (y-coordinate; the y-axis serves as the axis of symmetry of the cross- section.) and horizontal coordinate (z-coordinate) of the location where the maximum shear stress occurs in the section are a 3a a The vertical distance from the location where the maximum shear stress occurs in the section to the bottom side (AB cross section can be calculated as Distance = mm Second moment of area The second moment of area employed in the equation to calculate maximum shear stress can be calculated as (units: mm²) The second moment of area employed in the equation to calculate maximum shear stress can be calculated as (units: mm²) (units: mm³) First moment of area The first moment of area employed in the equation to calculate maximum shear stress can be calculated as S =

Elements Of Electromagnetics
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QUESTION 2
Question 2
A cross-section of a beam is shown in Figure Q2. If the shear force in this section is V = 125 KN,
determine the value and the location of the maximum shear stress in the section.
In Figure Q2, a = 30 mm and the origin of the coordinate system is at centroid of the cross section.
7
y=
Z=
A
a
AY
S=
20
4a
mm;
mm;
O
Figure Q2
Answer
The vertical coordinate (y-coordinate; the y-axis serves as the axis of symmetry of the cross-
section.) and horizontal coordinate (z-coordinate) of the location where the maximum shear stress
occurs in the section are
←
a
The vertical distance from the location where the maximum shear stress occurs in the section to the bottom side (AB
cross section can be calculated as
Distance =
mm
(units: mm)
3a
Second moment of area
The second moment of area employed in the equation to calculate maximum shear stress can be
calculated as
I₂ =
a
(units: mm²)
Shear stress
The second moment of area employed in the equation to calculate maximum shear stress can be
calculated as
I₂ =
First moment of area
The first moment of area employed in the equation to calculate maximum shear stress can be
calculated as
(units: mm³)
The maximum shear stress in the section can be calculated as
Transcribed Image Text:QUESTION 2 Question 2 A cross-section of a beam is shown in Figure Q2. If the shear force in this section is V = 125 KN, determine the value and the location of the maximum shear stress in the section. In Figure Q2, a = 30 mm and the origin of the coordinate system is at centroid of the cross section. 7 y= Z= A a AY S= 20 4a mm; mm; O Figure Q2 Answer The vertical coordinate (y-coordinate; the y-axis serves as the axis of symmetry of the cross- section.) and horizontal coordinate (z-coordinate) of the location where the maximum shear stress occurs in the section are ← a The vertical distance from the location where the maximum shear stress occurs in the section to the bottom side (AB cross section can be calculated as Distance = mm (units: mm) 3a Second moment of area The second moment of area employed in the equation to calculate maximum shear stress can be calculated as I₂ = a (units: mm²) Shear stress The second moment of area employed in the equation to calculate maximum shear stress can be calculated as I₂ = First moment of area The first moment of area employed in the equation to calculate maximum shear stress can be calculated as (units: mm³) The maximum shear stress in the section can be calculated as
Z
y=
Z=
A
I₂ =
TK
lo
0
4g
Figure Q2
Answer
The vertical coordinate (y-coordinate; the y-axis serves as the axis of symmetry of the cross-
section.) and horizontal coordinate (z-coordinate) of the location where the maximum shear stress
occurs in the section are
mm;
mm;
Tmax=
The vertical distance from the location where the maximum shear stress occurs in the section to the bottom side (AB
cross section can be calculated as
Distance =
mm
a
Second moment of area
The second moment of area employed in the equation to calculate maximum shear stress can be
calculated as
(units : mm²)
3a
(units: mm)
a
The second moment of area employed in the equation to calculate maximum shear stress can be
calculated as
I₂ =
(units: mm³)
First moment of area
The first moment of area employed in the equation to calculate maximum shear stress can be
calculated as
S =
MPa
Shear stress
The maximum shear stress in the section can be calculated as
Transcribed Image Text:Z y= Z= A I₂ = TK lo 0 4g Figure Q2 Answer The vertical coordinate (y-coordinate; the y-axis serves as the axis of symmetry of the cross- section.) and horizontal coordinate (z-coordinate) of the location where the maximum shear stress occurs in the section are mm; mm; Tmax= The vertical distance from the location where the maximum shear stress occurs in the section to the bottom side (AB cross section can be calculated as Distance = mm a Second moment of area The second moment of area employed in the equation to calculate maximum shear stress can be calculated as (units : mm²) 3a (units: mm) a The second moment of area employed in the equation to calculate maximum shear stress can be calculated as I₂ = (units: mm³) First moment of area The first moment of area employed in the equation to calculate maximum shear stress can be calculated as S = MPa Shear stress The maximum shear stress in the section can be calculated as
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