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

Given : The shear force in this section is The diagram is,

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 =

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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Question

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

A cross-section of a beam is shown in Figure Q2. If the shear force in this section is
V 163 KN, determine the value and the location of the maximum shear stress in
the section.
In Figure Q2, a = 77 mm and the origin of the coordinate system is at centroid of
the cross section.
y=
A
Z=
a
mm;
2a
mm;
O
4a
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
Figure Q2
3a
a
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

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