Solved: If the beam is subjected to a shear of V = 15 kN,

Chapter 7, Problem 7-17

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QUESTION:

If the beam is subjected to a shear of V = 15 kN, determine the web’s shear stress at A and B. Indicate the shear-stress components on a volume element located at these points. Set w = 125 mm. Show that the neutral axis is located at \(\bar{y}=0.1747 \mathrm{~m}\) from the bottom and \(I_{N A}=0.2182\left(10^{-3}\right) \mathrm{m}^{4}\).

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QUESTION:

If the beam is subjected to a shear of V = 15 kN, determine the web’s shear stress at A and B. Indicate the shear-stress components on a volume element located at these points. Set w = 125 mm. Show that the neutral axis is located at \(\bar{y}=0.1747 \mathrm{~m}\) from the bottom and \(I_{N A}=0.2182\left(10^{-3}\right) \mathrm{m}^{4}\).

ANSWER:

Step 1 of 5

The area of the upper flange can be calculated as,

                                                               

The area of the lower flange can be calculated as,

                                                             

The area of the web can be calculated as,

                                                           

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