3.1 - Rectangular cross-section
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Practice Questions
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Define shear stress in the context of materials.
💡 Hint: Think about forces acting parallel to the surface.
What does the first moment of area (Q) represent?
💡 Hint: Consider how areas contribute to stress distribution.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is shear stress typically measured in?
💡 Hint: Consider the units of force divided by area.
True or False: The first moment of area is independent of the location within the beam cross-section.
💡 Hint: Think about how areas contribute to moments.
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Challenge Problems
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A rectangular beam of height 12 cm and width 6 cm is subjected to a shear force of 2500 N. Calculate the shear stress at a point 3 cm from the neutral axis, given that the moment of inertia I is 640 cm^4.
💡 Hint: Take care to set up the area calculations carefully for Q.
You design a beam intended to carry a total shear force of 5000 N, with dimensions leading to a moment of inertia of 800 cm^4. Given the width remains constant at 8 cm, how does varying the height of the beam affect shear stress distribution?
💡 Hint: Consider how both area and inertia interact in the equation.
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