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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 =

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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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 stress can be calculated as I₂ = First moment of area The first moment of area employed in the equation to calculate maximum shear stress can be calculated as (units: mm³) The maximum shear stress in the section can be calculated as
Transcribed Image Text: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 stress can be calculated as I₂ = First moment of area The first moment of area employed in the equation to calculate maximum shear stress can be calculated as (units: mm³) The maximum shear stress in the section can be calculated as
Z y= Z= A I₂ = TK lo 0 4g 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; mm; Tmax= 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 a Second moment of area The second moment of area employed in the equation to calculate maximum shear stress can be calculated as (units : mm²) 3a (units: mm) a The second moment of area employed in the equation to calculate maximum shear stress can be calculated as I₂ = (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 = MPa Shear stress The maximum shear stress in the section can be calculated as
Transcribed Image Text:Z y= Z= A I₂ = TK lo 0 4g 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; mm; Tmax= 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 a Second moment of area The second moment of area employed in the equation to calculate maximum shear stress can be calculated as (units : mm²) 3a (units: mm) a The second moment of area employed in the equation to calculate maximum shear stress can be calculated as I₂ = (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 = MPa Shear stress The maximum shear stress in the section can be calculated as
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