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 =

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 =

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.16P: Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020...

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