A cross-section of a beam is shown in Figure Q2. If the shear force in this section is V determine the value and the location of the maximum shear stress in the section. = 206 KN. In Figure Q2, a = 62 mm and the origin of the coordinate system is at centroid of the cross section. AY

Structural Analysis
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Chapter2: Loads On Structures
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Problem 1P
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A cross-section of a beam is shown in Figure Q2. If the shear force in this section is V 206 KN,
determine the value and the location of the maximum shear stress in the section.
In Figure Q2, a = 62 mm and the origin of the coordinate system is at centroid of the cross
section.
N
A
a
Y
2a
O
4a
1°F
B
3a
a
Transcribed Image Text:= A cross-section of a beam is shown in Figure Q2. If the shear force in this section is V 206 KN, determine the value and the location of the maximum shear stress in the section. In Figure Q2, a = 62 mm and the origin of the coordinate system is at centroid of the cross section. N A a Y 2a O 4a 1°F B 3a a
a)
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
y=
Z=
mm;
mm;
The vertical distance from the location where the maximum shear stress occurs in the section to
the bottom side (AB) of the cross section can be calculated as
Distance =
mm
b)
Next, calculate the second moment of area employed in the equation to calculate maximum
shear stress can be calculated as? and answer as Iz= mm^4
1
c)
Then, find the first moment of area employed in the equation to calculate maximum shear stress
which is in the form FIRST MOMENT OF AREA = MM^3
d)
Then find the maximum shear stress in the section.
Transcribed Image Text:a) 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 y= Z= mm; mm; The vertical distance from the location where the maximum shear stress occurs in the section to the bottom side (AB) of the cross section can be calculated as Distance = mm b) Next, calculate the second moment of area employed in the equation to calculate maximum shear stress can be calculated as? and answer as Iz= mm^4 1 c) Then, find the first moment of area employed in the equation to calculate maximum shear stress which is in the form FIRST MOMENT OF AREA = MM^3 d) Then find the maximum shear stress in the section.
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