Mechanical And Marine Engineering Science ... Specially Written As a Handbook to the Board of Trade Examinations for Extra-First-Class Engineers

Cover Mechanical And Marine Engineering Science ... Specially Written As a Handbook to the Board of Trade Examinations for Extra-First-Class Engineers
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— The bending irumient at any section in the length of a beam is the algebraic sum of the moments of all the forces acting on the team (including' the re action of any support) to the right or left of the section (but not both) the axis for each mmnent being at the given section.
1. A steel bar 6 in. deep and \.\ in. thick forms a beam. It is 17 feet long, and the ends are securely riveted to supports. If the maximum stress allowed is 5 tons per sq. inch, find the safe load for the beam when di
...stri- buted. Also give the shearing stress when so loaded.
Using the formula for resistance to bending of a rectangular ■Dr\2 c , viz., moment = — - — , we at once find the ^nce to be = i-^S x 3^ x 5 = 37.5 ton-inches.
■Dr\2 c fcar, viz., moment = , we at once find the moment of resist- Also it is known that the maximum bending moment of a . WL *iniformly loaded beam, with fixed ends, is Equating the two moments we get ^ ^ ^°4 = 37-5, from which 12 "W = ^-205 tons.
228 BEAMS.
For the shearing force we must notice that one-half the load is supported by each end of the beam where the sectional area = 6 in.


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