Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
A steel beam ABC carries a uniformly distributed load of w (kN/m) over the unsupported length BC, as shown in Figure Q3(a). The beam has a wide-flange section shown in Figure Q3(b) and designated as W610 × 82 with geometrical properties as shown in Table 1. Assuming that the beam behaves as elastic-perfectly plastic material with a yield strength of 210 MPa; (a) Draw the moment diagram of the beam and indicate the section that carries the maximum bending moment. (b) Knowing the shape factor of the beam, k = 1.15 calculate the magnitude of w, (kN/m) for the condition of plastic collapse/hinge. (c) Detemine the yielded length, L, (m) along the beam where the section has experienced yielding corresponding to the plastic collapse condition (part (b)). W (kN/m) -10 m- (b) Figure Q3

A steel beam ABC carries a uniformly distributed load of w (kN/m) over the unsupported length BC, as shown in Figure Q3(a). The beam has a wide-flange section shown in Figure Q3(b) and designated as W610 × 82 with geometrical properties as shown in Table 1. Assuming that the beam behaves as elastic-perfectly plastic material with a yield strength of 210 MPa; (a) Draw the moment diagram of the beam and indicate the section that carries the maximum bending moment. (b) Knowing the shape factor of the beam, k = 1.15 calculate the magnitude of w, (kN/m) for the condition of plastic collapse/hinge. (c) Detemine the yielded length, L, (m) along the beam where the section has experienced yielding corresponding to the plastic collapse condition (part (b)). W (kN/m) -10 m- (b) Figure Q3

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
See similar textbooks
icon
Related questions
Question
A steel beam ABC carries a uniformly distributed load of w (kN/m) over the unsupported length BC, as shown in Figure Q3(a). The beam has a wide-flange section shown in Figure Q3(b) and designated as W610 x 82 with geometrical properties as shown in Table 1. Assuming that the beam behaves as elastic-perfectly plastic material with a yield strength of 210 MPa; (a) Draw the moment diagram of the beam and indicate the section that carries the maximum bending moment. (b) Knowing the shape factor of the beam, k = 1.15 calculate the magnitude of wp (kN/m) for the condition of plastic collapse/hinge. (c) Determine the yielded length, L, (m) along the beam where the section has experienced yielding corresponding to the plastic collapse condition (part (b)). W (kN/m) -10 m (a) (b) Figure Q3 Table 1 Wide-Flange Sections or W Shapes SI Units Flange X-x axis y-y axis Web Area Depth thickness width thickness Designation A tw by mm x kg/m mm? 10° mm 10 mm 10° mm 10 mm mm mm mm mm mm mm W610 x 155 19 800 1 290 1 120 611 12.70 324.0 19.0 4 220 255 108 667 73.9 W610 x 140 17 900 617 13.10 230.0 22.2 3 630 250 45.1 392 50.2 W610 x 125 15 900 W610 x 113 14 400 W610 x 101 12 900 612 11.90 229.0 19.6 985 3 220 249 39.3 343 49.7 608 11.20 228.0 17.3 875 2 880 247 34.3 301 48.8 603 10.50 228.0 14.9 764 2 530 243 29.5 259 47.8 2 140 1 870 W610 x 92 11 800 603 10.90 179.0 15.0 646 234 14.4 161 34.9 W610 x 82 10 500 599 10.00 178.0 12.8 560 231 12.1 136 33.9
Transcribed Image Text:A steel beam ABC carries a uniformly distributed load of w (kN/m) over the unsupported length BC, as shown in Figure Q3(a). The beam has a wide-flange section shown in Figure Q3(b) and designated as W610 x 82 with geometrical properties as shown in Table 1. Assuming that the beam behaves as elastic-perfectly plastic material with a yield strength of 210 MPa; (a) Draw the moment diagram of the beam and indicate the section that carries the maximum bending moment. (b) Knowing the shape factor of the beam, k = 1.15 calculate the magnitude of wp (kN/m) for the condition of plastic collapse/hinge. (c) Determine the yielded length, L, (m) along the beam where the section has experienced yielding corresponding to the plastic collapse condition (part (b)). W (kN/m) -10 m (a) (b) Figure Q3 Table 1 Wide-Flange Sections or W Shapes SI Units Flange X-x axis y-y axis Web Area Depth thickness width thickness Designation A tw by mm x kg/m mm? 10° mm 10 mm 10° mm 10 mm mm mm mm mm mm mm W610 x 155 19 800 1 290 1 120 611 12.70 324.0 19.0 4 220 255 108 667 73.9 W610 x 140 17 900 617 13.10 230.0 22.2 3 630 250 45.1 392 50.2 W610 x 125 15 900 W610 x 113 14 400 W610 x 101 12 900 612 11.90 229.0 19.6 985 3 220 249 39.3 343 49.7 608 11.20 228.0 17.3 875 2 880 247 34.3 301 48.8 603 10.50 228.0 14.9 764 2 530 243 29.5 259 47.8 2 140 1 870 W610 x 92 11 800 603 10.90 179.0 15.0 646 234 14.4 161 34.9 W610 x 82 10 500 599 10.00 178.0 12.8 560 231 12.1 136 33.9
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Axial Load
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS