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Answer Key for Old Exams - Exam #2 Beam Stress Problems : 1) V max = 6 kip M max = 18 kip-ft τ max = 581.6 psi σ max = 8.589 ksi 2) V max = 5 kip M max = 30 kip-ft τ max = 597.8 psi σ max = 4.891 ksi 3) M = 135.0 N-m V = 179.9 N 4) M = 270.0 N-m V = 360.0 N 5) w s: n = 0.05 I T = 227.6 × 10 6 mm 4 σ w = 164.8 kPa σ s = 3.735 MPa s w: n = 20 I T = 4551 × 10 6 mm 4 same stresses as above 6) p a: n = 0.2 I T = 0.1958 in 4 σ p = 4.597 psi σ a = 27.58 psi a p: n = 5 I T = 0.9788 in 4 same stresses as above 7) σ c = 65.66 MPa (T) σ n = 87.30 MPa (C) 8) σ b = 53.44 ksi (T) σ a = 43.55 ksi (C) 9) s max = 3.200 in 10) s max = 162.8 mm 11) |V max | = 8 kip |M max | = 32 kip-ft see next sheet for V & M diagrams 12) |V max | = 12 kip |M max | = 72 kip-ft see next sheet for V & M diagrams 13) B y = 13 kN E y = 14 kN see next sheet for V & M diagrams 14) B y = 2600 lb D y = 1000 lb see next sheet for V & M diagrams Beam Deflection Problems : 1) y B = -16.96 mm y B = -0.2063 ° 2) y A = -32.03 mm y A = 0.2254 ° 3) 234 3 3 1 558 750 800 200 ( ) 6 13 19 43,062 62 6 2 4 yx x x x x x lb f t EI ⎛⎞ =− ⎜⎟ ⎝⎠ 2 1 062 , 43 ft lb C = 0 2 = C in y C 153 . 2 = ° = 184 . 1

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