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determine the value and the location of the maximum shear stress in the section. In Figure Q2, a = 68 mm and the origin of the coordinate system is at centroid of the cross section. Z a AY 2a a 3a

determine the value and the location of the maximum shear stress in the section. In Figure Q2, a = 68 mm and the origin of the coordinate system is at centroid of the cross section. Z a AY 2a a 3a

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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. In Figure Q2, a = 68 mm and the origin of the coordinate system is at centroid of the cross section. y= A Z= a I₂ = S = AY mm; 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; O 4a Tmax= 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 Second moment of area The second moment of area employed in the equation to calculate maximum shear stress can be calculated as Shear stress a (units : mm¹ ) First moment of area The first moment of area employed in the equation to calculate maximum shear stress can be calculated as (units : mm³) 3a a MPa The maximum shear stress in the section can be calculated as 159 KN,
Transcribed Image Text: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. In Figure Q2, a = 68 mm and the origin of the coordinate system is at centroid of the cross section. y= A Z= a I₂ = S = AY mm; 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; O 4a Tmax= 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 Second moment of area The second moment of area employed in the equation to calculate maximum shear stress can be calculated as Shear stress a (units : mm¹ ) First moment of area The first moment of area employed in the equation to calculate maximum shear stress can be calculated as (units : mm³) 3a a MPa The maximum shear stress in the section can be calculated as 159 KN,
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