A 10-m beam simply supported at the ends carries a uniformly distributed load of 16 kN/m over its entire length. What is the lightest W shape beam that will not exceed a flexural stress of 120 MPa? The only available W Shapes: W 460 x 89; S = 1,770 x 10³ mm³ --- W 410 x 100; --- S = 1,920 x 10³ mm3 W 360 x 101; S = 1,690 x 10³ mm³ --- W 310 x 118; S = 1,750 x 10³ mm³ --- W 250 x 149; S = 1,840 x 10³ mm³ --- O W 410 x 100 O W 360 x 101 O W 460 x 89 O W 310 x 118

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.2.13P: A simply supported wooden I-beam with a 12-ft span supports a distributed load of intensity q = 90...
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A 10-m beam simply supported at the ends carries a uniformly distributed load of 16 kN/m over its entire
length. What is the lightest W shape beam that will not exceed a flexural stress of 120 MPa?
The only available W Shapes:
W 460 x 89;
S = 1,770 x 10³ mm3
---
W 410 x 100;
S = 1,920 x 10³ mm3
---
W 360 x 101;
S = 1,690 x 10³ mm3
---
W 310 x 118;
S = 1,750 x 10³ mm3
---
W 250 x 149;
S = 1,840 x 103 mm3
---
O W 410 x 100
O W 360 x 101
O W 460 x 89
W 310 x 118
Transcribed Image Text:A 10-m beam simply supported at the ends carries a uniformly distributed load of 16 kN/m over its entire length. What is the lightest W shape beam that will not exceed a flexural stress of 120 MPa? The only available W Shapes: W 460 x 89; S = 1,770 x 10³ mm3 --- W 410 x 100; S = 1,920 x 10³ mm3 --- W 360 x 101; S = 1,690 x 10³ mm3 --- W 310 x 118; S = 1,750 x 10³ mm3 --- W 250 x 149; S = 1,840 x 103 mm3 --- O W 410 x 100 O W 360 x 101 O W 460 x 89 W 310 x 118
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