Second moment of areaThe second moment of area employed in the equation to calculate maximumshear stress can be calculated as(units : mm)Iz ==First moment of areaThe first moment of area employed in the equation to calculate maximum shearstress can be calculated as(units : mm³)S = A cross-section of a beam is shown in Figure Q2. If the shear force in this section isV 163 KN, determine the value and the location of the maximum shear stress inthe section.In Figure Q2, a = 77 mm and the origin of the coordinate system is at centroid ofthe cross section.y=AZ=amm;2amm;O4aThe vertical coordinate (y-coordinate; the y-axis serves as the axis of symmetryof the cross-section.) and horizontal coordinate (z-coordinate) of the locationwhere the maximum shear stress occurs in the section areFigure Q23aaThe vertical distance from the location where the maximum shear stress occurs inthe section to the bottom side (AB) of the cross section can be calculated asDistance =mm

Second moment of area The second moment of area employed in the equation to calculate maximum shear stress can be calculated as Iz = (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 : mm³) S =

Second moment of area The second moment of area employed in the equation to calculate maximum shear stress can be calculated as Iz = (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 : mm³) S =

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter6: Beams And Cables

Section: Chapter Questions

Problem 6.6P: Find the internal force systems acting on sections 1 and 2.

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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 = 58 mm and the origin of the coordinate system is at centroid of the cross section. A a 2a 0 4a a 3a a
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You are required to calculate the second moment of area about the x-axis for the figure below. a mm b mm a mm a mm One method for calculating the second moment of area is to break up the shape into three parts as shown below. Calculate the second moment of area of segment 2 if: a = 30.67 mm b = 21.14 mm |_x = mm^4 a mm ww e
QUESTION 2 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. 7 y= Z= A a AY S= 20 4a mm; mm; O 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 ← 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 (units: mm) 3a Second moment of area The second moment of area employed in the equation to calculate maximum shear stress can be calculated as I₂ = a (units: mm²) Shear stress The second moment of area employed in the equation to calculate maximum shear…
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