Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 7.5 ksi. Assume P = 34 kips, L1 = 2.2 ft, and L2 = 6.6 ft. (a) Determine the minimum section modulus required for this beam. (b) From the table below, select the lightest W shape that can be used for this beam. (c) What is the total weight of the steel beam itself (i.e., not including the loads that are carried by the beam)?

The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 7.5 ksi. Assume P = 34 kips, L1 = 2.2 ft, and L2 = 6.6 ft. (a) Determine the minimum section modulus required for this beam. (b) From the table below, select the lightest W shape that can be used for this beam. (c) What is the total weight of the steel beam itself (i.e., not including the loads that are carried by the beam)?

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
100%

The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 7.5 ksi.  Assume P = 34 kips, L1 = 2.2 ft, and L2 = 6.6 ft.
(a) Determine the minimum section modulus required for this beam.
(b) From the table below, select the lightest W shape that can be used for this beam.
(c) What is the total weight of the steel beam itself (i.e., not including the loads that are carried by the beam)?

Wide-Flange Sections or W Shapes-U.S. Customary Units Web Flange Flange width Depth thickness by Area thickness Designation I, S, A d in.? in. in. in. in. in.+ in.3 in. in.+ in. in. W24 x 94 27.7 24.3 0.515 9.07 0.875 2700 222 9.87 109 24.0 1.98 24 x 76 22.4 23.9 0.440 8.99 0.680 2100 176 9.69 82.5 18.4 1.92 24 x 68 20.1 23.7 0.415 8.97 0.585 1830 154 9.55 70.4 15.7 1.87 24 x 55 16.2 23.6 0.395 7.01 0.505 1350 114 9.11 29.1 8.30 1.34 W21 x 68 20.0 21.1 0.430 8.27 0.685 1480 140 8.60 64.7 15.7 1.80 21 x 62 18.3 21.0 0.400 8.24 0.615 1330 127 8.54 57.5 14.0 1.77 21 x 50 14.7 20.8 0.380 6.53 0.535 984 94.5 8.18 24.9 7.64 1.30 21 x 44 13.0 20.7 0.350 6.50 0.450 843 81.6 8.06 20.7 6.37 1.26 W18 × 55 16.2 18.1 0.390 7.53 0.630 890 98.3 7.41 44.9 11.9 1.67 18 x 50 14.7 18.0 0.355 7.50 0.570 800 88.9 7.38 40.1 10.7 1.65 18 x 40 11.8 17.9 0.315 6.02 0.525 612 68.4 7.21 19.1 6.35 1.27 18 x 35 10.3 17.7 0.300 6.00 0.425 510 57.6 7.04 15.3 5.12 1.22 W16 × 57 16.8 16.4 0.430 7.12 0.715 758 92.2 6.72 43.1 12.1 1.60 16 x 50 14.7 16.3 0.380 7.07 0.630 659 81.0 6.68 37.2 10.5 1.59 16 x 40 11.8 16.0 0.305 7.00 0.505 518 64.7 6.63 28.9 8.25 1.57 16 х 31 9.13 15.9 0.275 5.53 0.440 375 47.2 6.41 12.4 4.49 1.17 W14 x 68 20.0 14.0 0.415 10.0 0.720 722 103 6.01 121 24.2 2.46 14 x 53 15.6 13.9 0.370 8.06 0.660 541 77.8 5.89 57.7 14.3 1.92 14 x 48 14.1 13.8 0.340 8.03 0.595 484 70.2 5.85 51.4 12.8 1.91 14 x 34 10.0 14.0 0.285 6.75 0.455 340 48.6 5.83 23.3 6.91 1.53 14 x 30 8.85 13.8 0.270 6.73 0.385 291 42.0 5.73 19.6 5.82 1.49 14 x 26 7.69 13.9 0.255 5.03 0.420 245 35.3 5.65 8.91 3.55 1.08 14 x 22 6.49 13.7 0.230 5.00 0.335 199 29.0 5.54 7.00 2.80 1.04 Answer: (a) Smin = i in 3 (b) W i (c) W = i Ib
Transcribed Image Text:Wide-Flange Sections or W Shapes-U.S. Customary Units Web Flange Flange width Depth thickness by Area thickness Designation I, S, A d in.? in. in. in. in. in.+ in.3 in. in.+ in. in. W24 x 94 27.7 24.3 0.515 9.07 0.875 2700 222 9.87 109 24.0 1.98 24 x 76 22.4 23.9 0.440 8.99 0.680 2100 176 9.69 82.5 18.4 1.92 24 x 68 20.1 23.7 0.415 8.97 0.585 1830 154 9.55 70.4 15.7 1.87 24 x 55 16.2 23.6 0.395 7.01 0.505 1350 114 9.11 29.1 8.30 1.34 W21 x 68 20.0 21.1 0.430 8.27 0.685 1480 140 8.60 64.7 15.7 1.80 21 x 62 18.3 21.0 0.400 8.24 0.615 1330 127 8.54 57.5 14.0 1.77 21 x 50 14.7 20.8 0.380 6.53 0.535 984 94.5 8.18 24.9 7.64 1.30 21 x 44 13.0 20.7 0.350 6.50 0.450 843 81.6 8.06 20.7 6.37 1.26 W18 × 55 16.2 18.1 0.390 7.53 0.630 890 98.3 7.41 44.9 11.9 1.67 18 x 50 14.7 18.0 0.355 7.50 0.570 800 88.9 7.38 40.1 10.7 1.65 18 x 40 11.8 17.9 0.315 6.02 0.525 612 68.4 7.21 19.1 6.35 1.27 18 x 35 10.3 17.7 0.300 6.00 0.425 510 57.6 7.04 15.3 5.12 1.22 W16 × 57 16.8 16.4 0.430 7.12 0.715 758 92.2 6.72 43.1 12.1 1.60 16 x 50 14.7 16.3 0.380 7.07 0.630 659 81.0 6.68 37.2 10.5 1.59 16 x 40 11.8 16.0 0.305 7.00 0.505 518 64.7 6.63 28.9 8.25 1.57 16 х 31 9.13 15.9 0.275 5.53 0.440 375 47.2 6.41 12.4 4.49 1.17 W14 x 68 20.0 14.0 0.415 10.0 0.720 722 103 6.01 121 24.2 2.46 14 x 53 15.6 13.9 0.370 8.06 0.660 541 77.8 5.89 57.7 14.3 1.92 14 x 48 14.1 13.8 0.340 8.03 0.595 484 70.2 5.85 51.4 12.8 1.91 14 x 34 10.0 14.0 0.285 6.75 0.455 340 48.6 5.83 23.3 6.91 1.53 14 x 30 8.85 13.8 0.270 6.73 0.385 291 42.0 5.73 19.6 5.82 1.49 14 x 26 7.69 13.9 0.255 5.03 0.420 245 35.3 5.65 8.91 3.55 1.08 14 x 22 6.49 13.7 0.230 5.00 0.335 199 29.0 5.54 7.00 2.80 1.04 Answer: (a) Smin = i in 3 (b) W i (c) W = i Ib
y A B D L1 L2 d X-
Transcribed Image Text:y A B D L1 L2 d X-
Expert Solution
steps

Step by step

Solved in 5 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Light gauge steel frame structures
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS