Question

Structural Analysis: Homewo Problem 3.2-10: For the given structures with a constant El and loadings; a) Draw SFD and BMD b) Determine the equation of the elastic curve, y(x) using the integration method c) Determine the slope angle and deflection shown on the right

Answer 1

60 KN-m In tenal Hinge neacioms ' n어 , = 20 kN Mom ent o

[I0 -e Ve b) Taking Jecton ht at a distance χ we know M -ELd 2 Ed 60 ,'+ 20(x-3) Tnteing both ides

Integrating bolh sds a^o» (i 3 Boundavy condtHo»w Putting volues in ( 2. Pu t >na valu es in i) 3 3 Eoe tbon o elashc cujve 3

c) sbbe 이.ght 엉 B 60 ( G) + 18o + lo (6-3) E1 slope at left B 9 o 을メ음 . beflectm at D -o in i) eaue EI

lOK 6 Tnlevnal nteyna Anae oft loft l oft Moment at P RAつ5k

BmD 50 - ve 50 ght to distance χ we know M: Eldy 2. 2.

T n teroth both sides oqam адам 6 3 Bounday conditio At χ= 30 ft , Putti values in (i) 2. Puthna volues in i 0: 5(30) 3 3 2

£lastic cuve -+ (-250x) 3 3 2. Съ--250 E L 3 1O) 2300-250ง 3 3 3 3 E