A cross-section of a beam is shown in Figure Q2. If the shear force in this...

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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 I = 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 : mm ) First moment of area The first moment of area employed in the equation to calculate maximum shear stress can be calculated as (units : mm) 3a a MPa The maximum shear stress in the section can be calculated as 159 KN, 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 I = 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 : mm ) First moment of area The first moment of area employed in the equation to calculate maximum shear stress can be calculated as (units : mm) 3a a MPa The maximum shear stress in the section can be calculated as 159 KN,

Answer rating: 100% (QA)

Solutions Step 1 We must take the following actions in order to find the greatest shear stress and w... View the full answer