When a beam section is subjected to a shear load, ashear stress distribution is developed on the section. Thedistribution of the shear stress is not linear. Elasticitytheory can be used to calculate the shear stress at anypoint.However, a simpler method can be used to calculate theaverage shear stress across the width of the section, adistance y above or below the neutral axis. The averageVQshear stress is given by T =Here V is the shearItforce on the section, I is the moment of inertia of theentire section about the neutral axis, and t is the width ofthe section at the distance y where the shear stress isbeing calculated. Q is the product of the area of thesection above (or below) y and the distance from theneutral axis to the centroid of that area (Figure 1). Inshort, Q is the moment of the area about the neutral axis.IFigure1 of 1An 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 followingsteps to calculate the shear stress at a point 70 mm above the neutral axis.Part A - Moment of inertiaThe shear formula includes the moment of inertia of the whole cross section, I, about the neutral axis. Calculate the moment of inertia.Express your answer with appropriate units to three significant figures.► View Available Hint(s)I= 1.06×104 cm¹Submit Previous AnswersH✓ Correct When a beam section is subjected to a shear load, ashear stress distribution is developed on the section. Thedistribution of the shear stress is not linear. Elasticitytheory can be used to calculate the shear stress at anypoint.However, a simpler method can be used to calculate theaverage shear stress across the width of the section, adistance y above or below the neutral axis. The averageVQshear stress is given by T = Here V is the shearItforce on the section, I is the moment of inertia of theentire section about the neutral axis, and t is the width ofthe section at the distance y where the shear stress isbeing calculated. Q is the product of the area of thesection above (or below) y and the distance from theneutral axis to the centroid of that area (Figure 1). Inshort, Q is the moment of the area about the neutral axis.FigureH1 of 1Part B - Q for the given pointThe shear stress 70 mm above the neutral axis depends on the value of Q for the area above that point. Calculate the value of Q.Express your answer with appropriate units to three significant figures.► View Available Hint(s)LO··μAQ = 22050Submit Previous Answersmm³Part C - Shear stress?* Incorrect; Try Again; 8 attempts remainingUse the results from Parts A and B to calculate the shear stress at a point 70 mm above the neutral axis if the shear force on the section is V =5.4 kNExpress your answer with appropriate units to three significant figures.► View Available Hint(s)

Answered: Image /qna-images/answer/fb701ac7-4f6b-4dd9-bb20-a3f6fc614581.jpg

subje 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 igure 1 of 1 > An I-beam has a flange width b = 250 mm, height h = 250 mm, web thickness t = 9 mm, and flange thickness tf = 14 mm. Use the following steps to calculate the shear stress at a point 70 mm above the neutral axis. Part A - Moment of inertia I= 1.06×104 cm¹ The shear formula includes the moment of inertia of the whole cross section, I, about the neutral axis. Calculate the moment of inertia. Express your answer with appropriate units to three significant figures. ► View Available Hint(s) Submit Previous Answers H ✓ Correct h

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.8.1P: The shear stresses t in a rectangular beam arc given by Eq. (5-43): in which Fis the shear force, /...