A cross-section of a beam is shown in Figure Q2. If the shear force in this section is V = 266 KN, determine the value and the location of the maximum shear stress in the section. In Figure Q2, a = 39 mm and the origin of the coordinate system is at centroid of the cross section. Z A a Y 2a 0 4a Figure Q2 3a a

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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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 

i) y= ? mm ;

ii) z= ? 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 
 
iii) Distance = ? mm
 

b) The second moment of area employed in the equation to calculate maximum shear stress can be calculated as 

i) Iz = ? ( units : mm^4)

 

c) 

The first moment of area employed in the equation to calculate maximum shear stress can be calculated as 

S = ? ( units : mm^3 )

 

d) The maximum shear stress in the section can be calculated as 

τmax = ? MPa

 
 
A cross-section of a beam is shown in Figure Q2. If the shear force in this section is
V = 266 KN, determine the value and the location of the maximum shear stress in
the section.
In Figure Q2, a = 39 mm and the origin of the coordinate system is at centroid of the
cross section.
IN
Z
A
a
AY
2a
O
4a
Figure Q2
11
B
a
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 = 266 KN, determine the value and the location of the maximum shear stress in the section. In Figure Q2, a = 39 mm and the origin of the coordinate system is at centroid of the cross section. IN Z A a AY 2a O 4a Figure Q2 11 B a 3a a
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