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650_Mechanics Homework Mechanics of Materials Solution

650_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 5'C1 5. C1 Several concentrated loads P,- (i = 1, 2,. n) can be applied to a x beam as shown. Write a computer program that can be used to calculate the x “ shear, bending moment, and normal stress at any point of the beam for a given ‘ loading of the beam and a given value of its section modulus. Use this pro— ?” gram to solve Probs. 5.23, 5. 27 and 5.29. (Hint. Maximum values will occur at a support or under a load) _ SOLUTION 1‘1 REACTroNs HT P1 AND B 1")ZMA =0-‘ 733sz P1551” WE USEA STEP FUNCTI ONE (See bottom ofpcgge 348 Of text) we DEFINE: [F1 362, THEN 37191221 ELSE STPA=0 {F12 0,41% THEM 51195:! ELSE 5TPB=0 IFX>7C£ THEN JTP(1),=I ELSE 5TP(I)_=p V: RH STPA+RB STPB- ZP STPU) 11/121211 a)57120+195 (.1 51— 057135 ZP(7<~%;)STP(I) 0‘: M/SJ where 5 1‘5 obtained +0001 Hypermhx C, W Prob. 5.23 Prob. 5.29 RA=80.0 kN RB=80.0 kN Rl 52.5 kips R2 = 22.5 kips Il X V M Sigma ' K V M 819111151 111 kN kN.m MPa ft kips kip.ft ksi 2.00 0.00 104.00 128.55 ‘ 0. 00 -25.00 0.00 0.00 1. 00 27.50 -25.00 ~7.05 Prob- 5-27 3 00 2.50 30.00 9.42 9. 00 -22.50 45.00 14.14 Q 15.0 kN 11.00 0.00 0.00 0.00 44.0 kN R2 V M Sigma kN kN.m MPa . -20.00 0.00 0.00 1.60 24.00 ~32.oo —31.07 g 4.00 —16.00 25.60 24.55 -15.00 0.00 0.00 ...
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