Prob 3. The beam below has an allowable normal stress of oallow = 24 ksi and an allowable shear stress of Tallow = 11 ksi. 10 k/ft 10 k Plot the shear (V) and moment (M) diagrams (a) and determine the maximum shear and maximum moment, Vmax and Mmax, respectively (b) Determine if a W16×36 beam can safely support T sft → the loads as shown. 10 ft (c) How do you know? Can a W16x45 beam can safely support the loads? Wide-Flange Sections or W Shapes FPS Units Flange Web х-х ахis У-у ахis Area Depth thickness width thickness Designation A tw bf tf S in. x Ib/ft in? in. in. in. in. in in3 in. in4 in3 in. W16 × 57 16.8 16.43 0.430 7.120 0.715 758 92.2 6.72 43.1 12.1 1.60 W16 × 50 14.7 16.26 0.380 7.070 0.630 659 81.0 6.68 37.2 10.5 1.59 W16 × 45 13.3 16.13 0.345 7.035 0.565 586 72.7 6.65 32.8 9.34 1.57 W16 × 36 10.6 15.86 0.295 6.985 0.430 448 56.5 6.51 24.5 7.00 1.52 W16 × 31 9.12 15.88 0.275 5.525 0.440 375 47.2 6.41 12.4 4.49 1.17 W16 × 26 7.68 15.69 0.250 5.500 0.345 301 38.4 6.26 9.59 3.49 1.12
Prob 3. The beam below has an allowable normal stress of oallow = 24 ksi and an allowable shear stress of Tallow = 11 ksi. 10 k/ft 10 k Plot the shear (V) and moment (M) diagrams (a) and determine the maximum shear and maximum moment, Vmax and Mmax, respectively (b) Determine if a W16×36 beam can safely support T sft → the loads as shown. 10 ft (c) How do you know? Can a W16x45 beam can safely support the loads? Wide-Flange Sections or W Shapes FPS Units Flange Web х-х ахis У-у ахis Area Depth thickness width thickness Designation A tw bf tf S in. x Ib/ft in? in. in. in. in. in in3 in. in4 in3 in. W16 × 57 16.8 16.43 0.430 7.120 0.715 758 92.2 6.72 43.1 12.1 1.60 W16 × 50 14.7 16.26 0.380 7.070 0.630 659 81.0 6.68 37.2 10.5 1.59 W16 × 45 13.3 16.13 0.345 7.035 0.565 586 72.7 6.65 32.8 9.34 1.57 W16 × 36 10.6 15.86 0.295 6.985 0.430 448 56.5 6.51 24.5 7.00 1.52 W16 × 31 9.12 15.88 0.275 5.525 0.440 375 47.2 6.41 12.4 4.49 1.17 W16 × 26 7.68 15.69 0.250 5.500 0.345 301 38.4 6.26 9.59 3.49 1.12
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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