The cantilever beam (of type W8 × 15) made of A36 steel alloy has a depth d =8.11 in, as shown below. The moment of inertia I, is 48.0 in.4. 1, 400 lb 1, 400 lb 100 lb/ft d -5 ft -5 ft (a) Determine the maximum internal bending moment produced by the loading con- dition provided. (b) Determine the maximum normal stress, due to the bending mo- ment, and the corresponding factor of safety (using o y as the failure stress). (c) Draw a graph that shows the stress in the beam along the y-direction at the point chosen in part (a). (d) Calculate emax based on your answer to part (b). (e) Calculate the radius of curvature p based on your answer to part (d). (a) 26 kip-ft (you should find reaction force of 3.8 kip); (b) 26.4 ksi, 1.38; (c) o(y) = 6.5y ksi; (d) 9.10(10¬4); (e) 372 ft
The cantilever beam (of type W8 × 15) made of A36 steel alloy has a depth d =8.11 in, as shown below. The moment of inertia I, is 48.0 in.4. 1, 400 lb 1, 400 lb 100 lb/ft d -5 ft -5 ft (a) Determine the maximum internal bending moment produced by the loading con- dition provided. (b) Determine the maximum normal stress, due to the bending mo- ment, and the corresponding factor of safety (using o y as the failure stress). (c) Draw a graph that shows the stress in the beam along the y-direction at the point chosen in part (a). (d) Calculate emax based on your answer to part (b). (e) Calculate the radius of curvature p based on your answer to part (d). (a) 26 kip-ft (you should find reaction force of 3.8 kip); (b) 26.4 ksi, 1.38; (c) o(y) = 6.5y ksi; (d) 9.10(10¬4); (e) 372 ft
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The cantilever beam (of type w8 × 15) made of A36 steel alloy has a depth d = 8.11 in,
as shown below. The moment of inertia I, is 48.0 in.“.
1, 400 lb
|1, 400 lb
100 lb/ft
d
-5 ft-
-5 ft-
(a) Determine the maximum internal bending moment produced by the loading con-
dition provided. (b) Determine the maximum normal stress, due to the bending mo-
ment, and the corresponding factor of safety (using o y as the failure stress). (c) Draw
a graph that shows the stress in the beam along the y-direction at the point chosen in
part (a). (d) Calculate emax based on your answer to part (b). (e) Calculate the radius
of curvature p based on your answer to part (d).
(a) 26 kip-ft (you should find reaction force of 3.8 kip); (b) 26.4 ksi, 1.38; (c) o(y) =
6.5 у ksi; (d) 9.10(10 4); (е) 372 ft
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