APPLIED CALCULUS-PRINT COMPANION (LL)
6th Edition
ISBN: 9781119275565
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 3.1, Problem 31P
To determine
To find derivative of the below function:
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3.14 (B). A beam ABCD, 6 m long, is simply-supported at the right-hand end and at
a point B Im from the left-hand end A. It carries a vertical load of 10 KN at A,
a second concentrated load of 20 KN at C, 3 m from D, and a uniformly
distributed load of 10 kN/m between C and D. Determine: (a) the values of the
reactions at B and 0, (6) the position and magnitude of the maximum bending
moment. [33 KN, 27 KN, 2.7 m from D, 36.45k Nm.]
3.17 (B). A simply supported beam has a span of 6 m and carries a distributed load
which varies in a linea manner from 30 kN/m at one support to 90 kN/m at the
other support. Locate the point of maximum bendin moment and calculate the value
of this maximum. Sketch the S.F. and B.M. diagrams. [U.L.] [3.25 m from l.h. end;
272 KN m
30.
90
3.11 (B). A beam, 12 m long, is to be simply supported at 2m from each end and to
carry a U.d.l of 30kN/m together with a 30 KN point load at the right-hand end.
For ease of transportation the beam is to be jointed in two places, one joint being
Situated 5 m from the left-hand end. What load (to the nearest KN) must be
applied to the left-hand end to ensure that there is no B.M. at the joint (i.e. the
joint is to be a point of contraflexure)? What will then be the best position on the
beam for the other joint? Determine the position and magnitude of the maximum
B.M. present on the beam. [114 KN, 1.6 m from r.h. reaction; 4.7 m from 1.h. reaction;
43.35 KN m.]
Chapter 3 Solutions
APPLIED CALCULUS-PRINT COMPANION (LL)
Ch. 3.1 - Prob. 1PCh. 3.1 - Prob. 2PCh. 3.1 - Prob. 3PCh. 3.1 - Prob. 4PCh. 3.1 - Prob. 5PCh. 3.1 - Prob. 6PCh. 3.1 - Prob. 7PCh. 3.1 - Prob. 8PCh. 3.1 - Prob. 9PCh. 3.1 - Prob. 10P
Ch. 3.1 - Prob. 11PCh. 3.1 - Prob. 12PCh. 3.1 - Prob. 13PCh. 3.1 - Prob. 14PCh. 3.1 - Prob. 15PCh. 3.1 - Prob. 16PCh. 3.1 - Prob. 17PCh. 3.1 - Prob. 18PCh. 3.1 - Prob. 19PCh. 3.1 - Prob. 20PCh. 3.1 - Prob. 21PCh. 3.1 - Prob. 22PCh. 3.1 - Prob. 23PCh. 3.1 - Prob. 24PCh. 3.1 - Prob. 25PCh. 3.1 - Prob. 26PCh. 3.1 - Prob. 27PCh. 3.1 - Prob. 28PCh. 3.1 - Prob. 29PCh. 3.1 - Prob. 30PCh. 3.1 - Prob. 31PCh. 3.1 - Prob. 32PCh. 3.1 - Prob. 33PCh. 3.1 - Prob. 34PCh. 3.1 - Prob. 35PCh. 3.1 - Prob. 36PCh. 3.1 - Prob. 37PCh. 3.1 - Prob. 38PCh. 3.1 - Prob. 39PCh. 3.1 - Prob. 40PCh. 3.1 - Prob. 41PCh. 3.1 - Prob. 42PCh. 3.1 - Prob. 43PCh. 3.1 - Prob. 44PCh. 3.1 - Prob. 45PCh. 3.1 - Prob. 46PCh. 3.1 - Prob. 47PCh. 3.1 - Prob. 48PCh. 3.1 - Prob. 49PCh. 3.1 - Prob. 50PCh. 3.1 - Prob. 51PCh. 3.1 - Prob. 52PCh. 3.1 - Prob. 53PCh. 3.1 - Prob. 54PCh. 3.1 - Prob. 55PCh. 3.1 - Prob. 56PCh. 3.1 - Prob. 57PCh. 3.1 - Prob. 58PCh. 3.1 - Prob. 59PCh. 3.1 - Prob. 60PCh. 3.1 - Prob. 61PCh. 3.1 - Prob. 62PCh. 3.1 - Prob. 63PCh. 3.1 - Prob. 64PCh. 3.1 - Prob. 65PCh. 3.1 - Prob. 66PCh. 3.1 - Prob. 67PCh. 3.1 - Prob. 68PCh. 3.1 - Prob. 69PCh. 3.1 - Prob. 70PCh. 3.1 - Prob. 71PCh. 3.1 - Prob. 72PCh. 3.1 - Prob. 73PCh. 3.1 - Prob. 74PCh. 3.1 - Prob. 75PCh. 3.1 - Prob. 76PCh. 3.1 - Prob. 77PCh. 3.1 - Prob. 78PCh. 3.1 - Prob. 79PCh. 3.2 - Prob. 1PCh. 3.2 - Prob. 2PCh. 3.2 - Prob. 3PCh. 3.2 - Prob. 4PCh. 3.2 - Prob. 5PCh. 3.2 - Prob. 6PCh. 3.2 - Prob. 7PCh. 3.2 - Prob. 8PCh. 3.2 - Prob. 9PCh. 3.2 - Prob. 10PCh. 3.2 - Prob. 11PCh. 3.2 - Prob. 12PCh. 3.2 - Prob. 13PCh. 3.2 - Prob. 14PCh. 3.2 - Prob. 15PCh. 3.2 - Prob. 16PCh. 3.2 - Prob. 17PCh. 3.2 - Prob. 18PCh. 3.2 - Prob. 19PCh. 3.2 - Prob. 20PCh. 3.2 - Prob. 21PCh. 3.2 - Prob. 22PCh. 3.2 - Prob. 23PCh. 3.2 - Prob. 24PCh. 3.2 - Prob. 25PCh. 3.2 - Prob. 26PCh. 3.2 - Prob. 27PCh. 3.2 - Prob. 28PCh. 3.2 - Prob. 29PCh. 3.2 - Prob. 30PCh. 3.2 - Prob. 31PCh. 3.2 - Prob. 32PCh. 3.2 - Prob. 33PCh. 3.2 - Prob. 34PCh. 3.2 - Prob. 35PCh. 3.2 - Prob. 36PCh. 3.2 - Prob. 37PCh. 3.2 - Prob. 38PCh. 3.2 - Prob. 39PCh. 3.2 - Prob. 40PCh. 3.2 - Prob. 41PCh. 3.2 - Prob. 42PCh. 3.2 - Prob. 43PCh. 3.2 - Prob. 44PCh. 3.2 - Prob. 45PCh. 3.2 - Prob. 46PCh. 3.2 - Prob. 47PCh. 3.2 - Prob. 48PCh. 3.2 - Prob. 49PCh. 3.2 - Prob. 50PCh. 3.2 - Prob. 51PCh. 3.2 - Prob. 52PCh. 3.2 - Prob. 53PCh. 3.2 - Prob. 54PCh. 3.2 - Prob. 55PCh. 3.2 - Prob. 56PCh. 3.2 - Prob. 57PCh. 3.2 - Prob. 58PCh. 3.2 - Prob. 59PCh. 3.2 - Prob. 60PCh. 3.3 - Prob. 1PCh. 3.3 - Prob. 2PCh. 3.3 - Prob. 3PCh. 3.3 - Prob. 4PCh. 3.3 - Prob. 5PCh. 3.3 - Prob. 6PCh. 3.3 - Prob. 7PCh. 3.3 - Prob. 8PCh. 3.3 - Prob. 9PCh. 3.3 - Prob. 10PCh. 3.3 - Prob. 11PCh. 3.3 - Prob. 12PCh. 3.3 - Prob. 13PCh. 3.3 - Prob. 14PCh. 3.3 - Prob. 15PCh. 3.3 - Prob. 16PCh. 3.3 - Prob. 17PCh. 3.3 - Prob. 18PCh. 3.3 - Prob. 19PCh. 3.3 - Prob. 20PCh. 3.3 - Prob. 21PCh. 3.3 - Prob. 22PCh. 3.3 - Prob. 23PCh. 3.3 - Prob. 24PCh. 3.3 - Prob. 25PCh. 3.3 - Prob. 26PCh. 3.3 - Prob. 27PCh. 3.3 - Prob. 28PCh. 3.3 - Prob. 29PCh. 3.3 - Prob. 30PCh. 3.3 - Prob. 31PCh. 3.3 - Prob. 32PCh. 3.3 - Prob. 33PCh. 3.3 - Prob. 34PCh. 3.3 - Prob. 35PCh. 3.3 - Prob. 36PCh. 3.3 - Prob. 37PCh. 3.3 - Prob. 38PCh. 3.3 - Prob. 39PCh. 3.3 - Prob. 40PCh. 3.3 - Prob. 41PCh. 3.3 - Prob. 42PCh. 3.3 - Prob. 43PCh. 3.3 - Prob. 44PCh. 3.3 - Prob. 45PCh. 3.3 - Prob. 46PCh. 3.3 - Prob. 47PCh. 3.3 - Prob. 48PCh. 3.3 - Prob. 49PCh. 3.3 - Prob. 50PCh. 3.3 - Prob. 51PCh. 3.3 - Prob. 52PCh. 3.3 - Prob. 53PCh. 3.4 - Prob. 1PCh. 3.4 - Prob. 2PCh. 3.4 - Prob. 3PCh. 3.4 - Prob. 4PCh. 3.4 - Prob. 5PCh. 3.4 - Prob. 6PCh. 3.4 - Prob. 7PCh. 3.4 - Prob. 8PCh. 3.4 - Prob. 9PCh. 3.4 - Prob. 10PCh. 3.4 - Prob. 11PCh. 3.4 - Prob. 12PCh. 3.4 - Prob. 13PCh. 3.4 - Prob. 14PCh. 3.4 - Prob. 15PCh. 3.4 - Prob. 16PCh. 3.4 - Prob. 17PCh. 3.4 - Prob. 18PCh. 3.4 - Prob. 19PCh. 3.4 - Prob. 20PCh. 3.4 - Prob. 21PCh. 3.4 - Prob. 22PCh. 3.4 - Prob. 23PCh. 3.4 - Prob. 24PCh. 3.4 - Prob. 25PCh. 3.4 - Prob. 26PCh. 3.4 - Prob. 27PCh. 3.4 - Prob. 28PCh. 3.4 - Prob. 29PCh. 3.4 - Prob. 30PCh. 3.4 - Prob. 31PCh. 3.4 - Prob. 32PCh. 3.4 - Prob. 33PCh. 3.4 - Prob. 34PCh. 3.4 - Prob. 35PCh. 3.4 - Prob. 36PCh. 3.4 - Prob. 37PCh. 3.4 - Prob. 38PCh. 3.4 - Prob. 39PCh. 3.4 - Prob. 40PCh. 3.4 - Prob. 41PCh. 3.4 - Prob. 42PCh. 3.4 - Prob. 43PCh. 3.4 - Prob. 44PCh. 3.4 - Prob. 45PCh. 3.4 - Prob. 46PCh. 3.4 - Prob. 47PCh. 3.4 - Prob. 48PCh. 3.4 - Prob. 49PCh. 3.4 - Prob. 50PCh. 3.4 - Prob. 51PCh. 3.4 - Prob. 52PCh. 3.5 - Prob. 1PCh. 3.5 - Prob. 2PCh. 3.5 - Prob. 3PCh. 3.5 - Prob. 4PCh. 3.5 - Prob. 5PCh. 3.5 - Prob. 6PCh. 3.5 - Prob. 7PCh. 3.5 - Prob. 8PCh. 3.5 - Prob. 9PCh. 3.5 - Prob. 10PCh. 3.5 - Prob. 11PCh. 3.5 - Prob. 12PCh. 3.5 - Prob. 13PCh. 3.5 - Prob. 14PCh. 3.5 - Prob. 15PCh. 3.5 - Prob. 16PCh. 3.5 - Prob. 17PCh. 3.5 - Prob. 18PCh. 3.5 - Prob. 19PCh. 3.5 - Prob. 20PCh. 3.5 - Prob. 21PCh. 3.5 - Prob. 22PCh. 3.5 - Prob. 23PCh. 3.5 - Prob. 24PCh. 3.5 - Prob. 25PCh. 3.5 - Prob. 26PCh. 3.5 - Prob. 27PCh. 3.5 - Prob. 28PCh. 3.5 - Prob. 29PCh. 3.5 - Prob. 30PCh. 3.5 - Prob. 31PCh. 3.5 - Prob. 32PCh. 3.5 - Prob. 33PCh. 3.5 - Prob. 34PCh. 3.5 - Prob. 35PCh. 3.5 - Prob. 36PCh. 3.5 - Prob. 37PCh. 3 - Prob. 1SYUCh. 3 - Prob. 2SYUCh. 3 - Prob. 3SYUCh. 3 - Prob. 4SYUCh. 3 - Prob. 5SYUCh. 3 - Prob. 6SYUCh. 3 - Prob. 7SYUCh. 3 - Prob. 8SYUCh. 3 - Prob. 9SYUCh. 3 - Prob. 10SYUCh. 3 - Prob. 11SYUCh. 3 - Prob. 12SYUCh. 3 - Prob. 13SYUCh. 3 - Prob. 14SYUCh. 3 - Prob. 15SYUCh. 3 - Prob. 16SYUCh. 3 - Prob. 17SYUCh. 3 - Prob. 18SYUCh. 3 - Prob. 19SYUCh. 3 - Prob. 20SYUCh. 3 - Prob. 21SYUCh. 3 - Prob. 22SYUCh. 3 - Prob. 23SYUCh. 3 - Prob. 24SYUCh. 3 - Prob. 25SYUCh. 3 - Prob. 26SYUCh. 3 - Prob. 27SYUCh. 3 - Prob. 28SYUCh. 3 - Prob. 29SYUCh. 3 - Prob. 30SYUCh. 3 - Prob. 31SYUCh. 3 - Prob. 32SYUCh. 3 - Prob. 33SYUCh. 3 - Prob. 34SYUCh. 3 - Prob. 35SYUCh. 3 - Prob. 36SYUCh. 3 - Prob. 37SYUCh. 3 - Prob. 38SYUCh. 3 - Prob. 39SYUCh. 3 - Prob. 40SYUCh. 3 - Prob. 41SYUCh. 3 - Prob. 42SYUCh. 3 - Prob. 43SYUCh. 3 - Prob. 44SYUCh. 3 - Prob. 45SYUCh. 3 - Prob. 46SYUCh. 3 - Prob. 47SYUCh. 3 - Prob. 48SYUCh. 3 - Prob. 49SYUCh. 3 - Prob. 50SYUCh. 3 - Prob. 1FOTCh. 3 - Prob. 2FOTCh. 3 - Prob. 3FOTCh. 3 - Prob. 4FOTCh. 3 - Prob. 5FOTCh. 3 - Prob. 6FOTCh. 3 - Prob. 7FOTCh. 3 - Prob. 8FOTCh. 3 - Prob. 9FOTCh. 3 - Prob. 10FOTCh. 3 - Prob. 11FOTCh. 3 - Prob. 12FOTCh. 3 - Prob. 1FOPCh. 3 - Prob. 2FOPCh. 3 - Prob. 3FOPCh. 3 - Prob. 4FOPCh. 3 - Prob. 5FOPCh. 3 - Prob. 6FOPCh. 3 - Prob. 7FOPCh. 3 - Prob. 8FOPCh. 3 - Prob. 9FOPCh. 3 - Prob. 10FOPCh. 3 - Prob. 11FOPCh. 3 - Prob. 12FOPCh. 3 - Prob. 13FOPCh. 3 - Prob. 14FOPCh. 3 - Prob. 15FOPCh. 3 - Prob. 16FOPCh. 3 - Prob. 17FOPCh. 3 - Prob. 18FOPCh. 3 - Prob. 19FOPCh. 3 - Prob. 20FOPCh. 3 - Prob. 21FOPCh. 3 - Prob. 22FOPCh. 3 - Prob. 23FOPCh. 3 - Prob. 24FOPCh. 3 - Prob. 25FOPCh. 3 - Prob. 26FOPCh. 3 - Prob. 27FOPCh. 3 - Prob. 28FOPCh. 3 - Prob. 29FOPCh. 3 - Prob. 30FOPCh. 3 - Prob. 31FOPCh. 3 - Prob. 32FOPCh. 3 - Prob. 33FOPCh. 3 - Prob. 34FOPCh. 3 - Prob. 35FOPCh. 3 - Prob. 36FOPCh. 3 - Prob. 37FOPCh. 3 - Prob. 38FOPCh. 3 - Prob. 39FOPCh. 3 - Prob. 40FOPCh. 3 - Prob. 41FOPCh. 3 - Prob. 42FOPCh. 3 - Prob. 43FOPCh. 3 - Prob. 44FOPCh. 3 - Prob. 45FOPCh. 3 - Prob. 46FOPCh. 3 - Prob. 47FOPCh. 3 - Prob. 48FOPCh. 3 - Prob. 49FOPCh. 3 - Prob. 50FOPCh. 3 - Prob. 51FOPCh. 3 - Prob. 52FOPCh. 3 - Prob. 53FOPCh. 3 - Prob. 54FOPCh. 3 - Prob. 55FOPCh. 3 - Prob. 56FOPCh. 3 - Prob. 57FOPCh. 3 - Prob. 58FOPCh. 3 - Prob. 59FOPCh. 3 - Prob. 60FOPCh. 3 - Prob. 61FOPCh. 3 - Prob. 62FOPCh. 3 - Prob. 63FOP
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