8_62 - 8.62 The tee shape shown in Fig. P8.62b is used as a...

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8.62 The tee shape shown in Fig. P8.62 b is used as a post that supports a load of P = 25 kN. Note that the load P is applied 400 mm from the flange of the tee shape, as shown in Fig. P8.62 a . Determine the normal stresses at points H and K . Fig. P8.62 a Fig. P8.62 b Cross-sectional dimensions Solution Centroid location in x direction: Shape width b height h Area A i x i (from left) x i A i (mm) (mm) (mm 2 ) (mm) (mm 3 ) stem 20 130 2,600 65 169,000 flange 120 20 2,400 140 336,000 5,000 505,000 3 2 505,000 mm 101.0 mm (from left side to centroid) 5,000 mm 49.0 mm (from right side to centroid) ii i xA x A Σ == = Σ = Moment of inertia about the z axis: Shape I C d = x i x d²A I C + d²A (mm 4 ) (mm) (mm 4 ) (mm 4 ) stem 3,661,666.67 36.0 3,369,600.00 7,031,266.67 flange 80,000.00
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8_62 - 8.62 The tee shape shown in Fig. P8.62b is used as a...

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