A cantilever beam AB of length L = 6.5 ft supports a trapezoidal distributed load of peak intensity q, and minimum intensityq/2, that includes the weight of the beam (see figure). The beam is a steel W 12 x 14 wideflange shape (see Table F-1(a),Appendix F).Calculate the maximum permissible load q based upon (a) an allowable bending stress o,= 18 ksi, (Note: Obtainallowthe moment of inertia and section modulus of the beam from Table F-1(a).) Table F-1(a)Properties of Wide-Flange Sections (W Shapes) - USCS Units (Abridged List)WeightFlangeAxis 1-1Axis 2-2WebDesignationperfootDepth thickness Width ThicknessAreaIbininin.inw 30 x 211 211W 30 x 132 13262.2309077515.11.3210.30066512.97571003.4938.930306151051.0057038012.21963122.25W 24 x 162 16247.72502430.70505151309071.220.875517041410.49.87443W 24 x 946842403.051.9894.027.7700222109W 18 x 119 119W 18 x 7135.120.81901850.6550.4957.90 2537.5011.31.060.810219011702311274491582.691.7071.076460.3W 16 x 100 100W 16 x 77W 16 x 57W 16 x 3129.51700.58510.40.98514901757.101863572.510.455043002750.7600.7150.4407.006.726.41111026924777.057.031.022616.89.131651037.1255313413816.415975837592247243.112.41214.491.601.17W 14 x 120 120W 14 x 82W 14 x 53W 14 x 2635.31451436.24 4950.59014.710.10.94013801901236753.742.481.921.0882.024.015.6051003/00.8550.6608816.05148293B0650353.0139139185.8957.714335554126.07.6902550.42024535.35.658.91W 12 x 87W 12 x 50W 12 x 35W 12 x 145.38 24156324.52.3687.025.6125051512.10.8107401183973.0750.035014.014.610.34.1612212511903700.30002008086563970.6400.5200.2251397471.191.961.540.75339128588.66424561495.185.254.62W 10 x 60w 10 x 45W 10 x 30W 10 x 12176042003500.3000.19060.045.010210.18020.6800.6200.5103414.39 1162302.5713.310.124849.14.3253.41332.0130.08.841055811703244.3816.75.751.3112.03.549873960.21053.81093.902.181.100.785WB x 35WB x 28WB x 21WB x 1535.028.010.38.248.1203100.2858026540.4950.46512798.03122433.513.4542.621.71066632.031.626.164.448.068288110.4000.3159.73.415273.493.291.260.87621.00250024575.348.01821183711.7015.0401Noter Aas 1-1 and2-2 are principal centroidel aesBW 12 × 14-L = 6.5 ft

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A cantilever beam AB of length L = 6.5 ft supports a trapezoidal distributed load of peak intensity q, and minimum intensity q/2, that includes the weight of the beam (see figure). The beam is a steel W 12 x 14 wideflange shape (see Table F-1(a), Appendix F). Calculate the maximum permissible load q based upon (a) an allowable bending stress olow = 18 ksi, (Note: Obtain the moment of inertia and section modulus of the beam from Table F-1(a).)

A cantilever beam AB of length L = 6.5 ft supports a trapezoidal distributed load of peak intensity q, and minimum intensity q/2, that includes the weight of the beam (see figure). The beam is a steel W 12 x 14 wideflange shape (see Table F-1(a), Appendix F). Calculate the maximum permissible load q based upon (a) an allowable bending stress olow = 18 ksi, (Note: Obtain the moment of inertia and section modulus of the beam from Table F-1(a).)

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

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