Question

Assume that the structural plate is made from concrete (2.5 x denser than water) with a thickness of 1/5 m. Based on these assumptions, determine all support reactions for the system.

3. Assume that the structural plate is made from concrete (2.5 x denser than water) with (20 pt.) a thickness of m. Based on these assumptions, determine all support reactions for the system. Hint: Note that the hight of the structural plate on the left side (along the y-axis) is also described by constant a in the function that describes the upper edge of the plate. 3 f(x)= isol + žo x + 13 у f(x) = 2x + **+a 9:13[m] b=6 [m] E х

Answer 1

Unit weight of water &w=9.81 kWh Unit weight of concrete, &c=25&w=2.5x9 81= 24.525 Kolm? thickness it = tm a=lom y = f(x) = x + 2 +13m, b = 6m inm w leading min om bagi loading watey + kNlm = W=24.525x 4 * = 4.gosy #free body diagram KN/m جوليا =49054 wa = ㅊ >B. B -O A By Ay B Efx=0 7 Bx=0 Ay fip} fy? Weg is equivalent load linkN) of the distributed loading & in So we will first find out w Weg & X & then the is acting at a distance from A reactions Ay & By

weg ware Wezxła Juxda B A tantan x fy 4 Weq= Suche I wore = 1 Agosydze D due 6 3 Wag=a.gor +18 X +2 +13 20 250 393,36138 KN Weya 4.905 22 +223 +13 40 1000 393.36138 kn Weg ñ= n = funck 프 Londe Wag e rude see fig 4 W² +4+3 ladke 37 radne 20 4905 6 250 Weqtr = la a 1195.941024 +13212 as 2 t 60 213 Weg xã = 4.905 1250 x=3.0403m 2 3.0403m m 2= tu= = 1195.941024 393.36188 Weg -393,36138 KN K 723.0403m BA Ay om By figs

Equilibrium (1) Efx=0 conditions or see figh Bx=0 an Net moment at A, EMA=oÐ Weq xã - Byx 6 393.36138x3.0403 — Byx 6-0 By = 199.3235KN T Cup Efy=of Ay tBy-Wegão Ay = 194.0379 KNT Reactions Answer Ay = 194.0379 KN T By = 199.3235 kN T; B x=0