Answer to Question #144802 in General Chemistry for Joshua

Question #144802
Two beams, A and B, made with the same material are to be subjected to a three-point bending test. Beam A has a dimension of 1.25 in x 2.5 in x 0.5 in while Beam B has a dimension of 1.5 in x 1.5 in x 0.75 in. Compare the respective fracture loads that will cause the beams to fail.
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Expert's answer
2020-11-25T02:18:55-0500

σ\sigma f= 3p2/2bd2

Hence P=2bd2 σ\sigmaf/3L

PA=2×2.5×(0.5)2×σ×2.5×(0.5)2× \sigmaf/ 3×1.53×1.5

PA=0.33PA=0.33σ\sigmaf


PB=2×1.5×(0.75)2×σPB=2×1.5×(0.75)2×\sigmaf/3×1.53×1.5

=0.38σ=0.38\sigma f

=0.38σ=0.38\sigma f>PA(0.33)σ>PA(0.33)\sigmaf








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