Identify the correct boundary conditions from the following list for the beam shown. The origin is at A. B L O v =0 at x = L; dv/dx = 0 at x = L O v =0 at x = L; dv/dx = 0 at x = 0 O v =0 at x = 0; v = 0 at x= L O v=0 atx= 0; dv/dx = 0 at x=0 O v = 0 atx= 0; dv/dx = 0 at x = L

A cross-section of a beam is shown in Figure Q2. If the shear force in this section is V determine the value and the location of the maximum shear stress in the section. In Figure Q2, a = 68 mm and the origin of the coordinate system is at centroid of the cross section. y= A Z= a I₂ = S = AY mm; 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; O 4a Tmax= 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 B Second moment of area The second moment of area employed in the equation to calculate maximum shear stress can be calculated as Shear stress a (units : mm¹ ) First moment of area The first moment of area employed in the equation to calculate maximum shear stress can be…

Question 13 Use the diagram shown above. Given • D₁ = 9 ft D₂=7 ft D₂ 3 D3-4 ft • W = 100 #/ft P = 800 # D. 1 D₂ X W P Solve for the internal moment at X. Note: Enter the numerical value only for your calculation results. You'll be asked to specify the unit for your calculation result in the following question. (This is due to Canvas' lack of ability to require units for calculation question.)

When a beam section is subjected to a shear load, a shear stress distribution is developed on the section. The distribution of the shear stress is not linear. Elasticity theory can be used to calculate the shear stress at any point. However, a simpler method can be used to calculate the average shear stress across the width of the section, a distance y above or below the neutral axis. The average VQ shear stress is given by T = Here V is the shear It force on the section, I is the moment of inertia of the entire section about the neutral axis, and t is the width of the section at the distance y where the shear stress is being calculated. Q is the product of the area of the section above (or below) y and the distance from the neutral axis to the centroid of that area (Figure 1). In short, Q is the moment of the area about the neutral axis. I Figure 1 of 1 An I-beam has a flange width b = 250 mm, height h = 250 mm, web thickness tw = 9 mm, and flange thickness tf = 14 mm. Use the…

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