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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

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

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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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 following steps to calculate the shear stress at a point 70 mm above the neutral axis. Part A - Moment of inertia 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) I= 1.06×104 cm¹ Submit Previous Answers H ✓ Correct
Transcribed Image Text: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 following steps to calculate the shear stress at a point 70 mm above the neutral axis. Part A - Moment of inertia 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) I= 1.06×104 cm¹ Submit Previous Answers H ✓ Correct
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. Figure H 1 of 1 Part B - Q for the given point The 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 ·· μA Q = 22050 Submit Previous Answers mm³ Part C - Shear stress ? * Incorrect; Try Again; 8 attempts remaining Use 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 kN Express your answer with appropriate units to three significant figures. ► View Available Hint(s)
Transcribed Image Text: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. Figure H 1 of 1 Part B - Q for the given point The 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 ·· μA Q = 22050 Submit Previous Answers mm³ Part C - Shear stress ? * Incorrect; Try Again; 8 attempts remaining Use 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 kN Express your answer with appropriate units to three significant figures. ► View Available Hint(s)
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