CIV100H1 Lecture Notes - Lecture 28: Centroid
Document Summary
Find centroid, then equivalent load (volume of the shape) Show you the stresses that can be in a beam. Volume of the block is the equivalent force. Ex: axially loaded member in compression: 5mpa * volume = equivalent force, if this beam were in tension, this problem would change by having. Line of action for the force passes through the centroid of the shape. Stress blocks due to bending opposite directions of arrows. Example of stress blocks due to internal bending moment: Top is in compression, bottom is in tension for smiley face beam bending: take compression block at the top and ask what the volume is = Moment = +270kn * 300 (from the point to the very bottom) = f1+ f2 = 24000 + 6000 = 30000n = 30kn. Sum of moments about ab = fy* = f1(50mm) + f2 (66. 7mm) y* (30000n) = 24000n (50mm) + 6000n (66. 7mm) = 55. 33mm.
