A cross-section of a beam is shown in Figure Q2. If the shear force in this section is V = 266 KN, determine the value and the location of the maximum shear stress in the section. In Figure Q2, a = 39 mm and the origin of the coordinate system is at centroid of the cross section. Z A a Y 2a 0 4a Figure Q2 3a a
A cross-section of a beam is shown in Figure Q2. If the shear force in this section is V = 266 KN, determine the value and the location of the maximum shear stress in the section. In Figure Q2, a = 39 mm and the origin of the coordinate system is at centroid of the cross section. Z A a Y 2a 0 4a Figure Q2 3a a
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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a) 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
i) y= ? mm ;
ii) z= ? mm;
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
iii) Distance = ? mm
b) The second moment of area employed in the equation to calculate maximum shear stress can be calculated as
i) Iz = ? ( units : mm^4)
c)
The first moment of area employed in the equation to calculate maximum shear stress can be calculated as
S = ? ( units : mm^3 )
d) The maximum shear stress in the section can be calculated as
τmax = ? MPa
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