Tikrit University-Civil Engineering Department Third Stage Eng.Anal.& Num. Meth. Dr.Adnan Jayed Zedan
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1 Numericl ntegrtin sin d; b direct rm tble;,, int egrtin, r is given in te, d is nt lws clculted,,,... n n, Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
2 b rm d is te t re b under te curve Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
3 Metds Clculted te re under te curve * Divide te dis tn ce b te lengt ec step is ; b n * Drw crdintes, int n steps,,,... n Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
4 Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
5 Te metds re Te metd rec tn gulrs b d [... n ] Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
6 Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
7 ]... [ ]... [ * * ; * ; *... n n n n n b d trpizids metd Te Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
8 Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
9 ] 4 [ ] 4 [ ] 4 [ ] 4 [. int int. int ' n s p number even re te Tus s p te trug pss t ssumed is equtin qudrtic Te Rule s Simpsn Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
10 ssume curve pss [, trug tree, 0, &, deg ree, pint s ]. Qudrtic equtin Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
11 ...,..., t Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
12 ] 4 [ int ] [ get substitutin nd egrtin ter d nd getting equtins bve te Slve Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
13 Emple Evlute Slutin sin d use n pnels Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
14 rec tn gulr metd 0.5[ ] OR 0.5[ ] 0.95 vg rm center pint s trpezidl 0.5 [ ] Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
15 ! 7! 5!! ] / 9! 7! 5!! [ 9! 7! 5!! sin sin ] [ 0.5 ' d d d Series Tlr rule s Simpsn Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
16 Emple Deter min e te reltive delectin pint wit respect t pint. P 0kips, E 0*0 ksi, in Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
17 Slutin d 0 P E P E d d d, 0 0*0 n 6 pnels 0 d [ Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn ]
18 * * * * Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
19 Simpsn' s Rule S in *0 [ ] Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
20 Guss Qudrture rmuls Tis rmul is det er min ed witut speciied pivt pint s tt is given Te d int te rm egrl is pprimted b unctin... n Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
21 ; &, ; & int & ; ]; [ sin getting Eqs Slve d d r ld must egrtin te tt S unknwns tw d term gle ne is tere Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
22 Guss Qudrture rmuls term result in sets nnliner lg ebric equtins. t' s r tis resn tt te lim it int egrtin is nrmlized s llws nvlving tw nd iger d, Put c ; r c ; r c c r c c Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
23 ] [ ] [ ] [ dr r dr r d dr d r c nd c Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
24 ., ; ; dr r nd getting Eqs bve te Slve dr r dr r dr r r r r r terms Tw Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
25 * * Slutin terms tw d Emple Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
26 Tree terms Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
27 Emple 4 0 e Slutin d 0 5 tree terms r Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn r
28 r r r Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
29 e e e [0.555* * *4.748] Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
30 Emple Slutin Guss Evlute[ 0 sin Qudrture rmul d r ] n r use Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
31 r r r Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
32 sin sin sin [0.555* * * ] Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
33 Emple Slutin e d,, use n r r Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
34 Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
35 * ] * *.87 [ * ] [ e e e e Tikrit Universit-Civil Engineering Deprtment Tird Stge Eng.nl.& Num. Met. Dr.dnn Jed Zedn
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