Question

Don’t do the problem; I’m just trying to figure out why the coordinates for the resultant force are at the centroid. Wouldn’t the F1 pull the y location of the resultant force down? I can seem to wrap my head around how the pressure on the wall is so high in the Y direction.

Problem 3 (20 points) The sea wall in the following figure is in the form of a semi-parabola. The density of the water is 1050 kg/ml. Hint: The last page has centroids for several shapes. a) Determine the components of the resultant force acting on I meter of its length (out of the page). FH = F, = 8 het = (1050kg/m3)(9.81 %)(4mX8xYA H = 329.6 kN| Fv =W=8+ he = /H A = H (lm) +(1050 KY/m3) (9.817/3)(5.33m) Fr=54.9kN) V=73(8 m/2m) (im) from * = /Bablim) al carrer centros page b ly ' fra From t = 5.33m3 b) Determine the x and y coordinates of the location where the resultant force acts using the coordinate system in the figure. centroid a page x0,0) Ye Y = 1/3H = 1/318 m) =(2.6 X= 3/4b = 3% (2m) = 15m in the negative x dir [X=-1.5m)

Answer 1

from basics of fluid statics,

When tudying asic FLUID STATICS Ah fust deswahon mala s, auat mhion etuun adjaent Huid layers, and th thee heavargntal ee n the fuid no Kluid clatics i deal with in tyjimg to defom it. Th ar hes we the nemal he, which ij the pve, and the vasiation pesu to the wight the Haid. Theae, the topic fluid hakes gavity il The e exerked dus On a Kluid at ad ij nomal to thu Cufae at the point Contadt aulahhe mohion etuan the ul and the cdid cuface, hea aces a Since these u no ard thu the akexdwalion CCan dlowds rich auij uhen CS CamScanner schang padems

2 The poingen (3 ony yhedakie peer ay to analya indang Cuaed uafae)i, Fiest hae to couda e 1 the aund Raloces and k tuo plane facs pasing thoyh (horisenlal, uetical) the tuo ends ocurved fface. c b FR F there is o mdion(ro dmatin) id on Cuoud ce u can thes Guken cs Scandntithdaw becau uten ue au CamScanner

minds thatFBD houwbsca thi peem Jo poinsyou have to oanemer uhen n lud rahis, thee ulthe mohion etuesn fuid hayos, thus there 2 uhen you iduirg aboe tyo pdks you har to dbaw in locakon o centaoid dangy FBD Liuid ock (Hence ttee i ro CS Scanned with lem Cam e Centrad?") means, a ory conuion like is there any charge any ext

there iu no F dounuard pull metion Condusion Fr on Bc Du to upport o tom of daunwards Hence thee no poirt hear ad WARNINGJust toY Ldk you imayination gtearexists u Aae dwto uihtB ackngdasuah shear AXB Here no enyuffort uacior du to dounuand moiond B ouhicted w uight Grnohion notowhiceuppo NR NOT RELATED Scanrodith CS CamScanner