## Question

###### See all photos + Add to For the three-hinged arch shown determine the reactions at hinges...

See all photos + Add to For the three-hinged arch shown determine the reactions at hinges A and C in newtons. (Assume that the +x-axis is to the right and the+y-axis is up along the page. Due to the nature of this submitted in WebAssign.) 1450 N 1875 N -8.66 m -8.66 m N magnitude direction ad N magnitude direction -SH N magnitude direction 1-Select magnitude N direction Select Determine the horizontal and vertical components of force that pin B exerts on each member in newtons. (Enter the magnitude.) B, - N N

## Answers

STEP I: GIVEN THREE HINGED 4 SON B 875N ARCH بود " 10m 45 230 8.66m! 8.66m 15mm 5m Vai STEP 1: TO FIND REACTIONS AT 'A' & 'C' AND AT PIN '' = ? STEP II: SUPPORT REACTIONS af, =0 -) Ax - Cy=0 -) Ax =(x - 0 *fy =O 5 A, +Cy - 450-875 = 0 -> Ay +Cy = 1325 - ☺ 3 Emg=0 (FOR LEFT OF 'B' i.e. 889 Ayx 17.32 - Ax x10 – 450X8.66 =0 > -10Ax +17:32Ay = 3897-3 @Emg =O (FOR RIGHT OF 'B' ie 'BC) -Cyx 10+ Cxx10 +875x 5 = 0 =) 10 Cx-10Cy= 4375 SOLVING EQ. 0,2.384 WE OBTAIN: Ay = 420N , Ay = 467.5N x = 42ON Cy=857.50N (RIGHT) (UP) (LEFT) (UP) STEP IL: AT PIN 'B' FBD OF 'AB' 450N 4 > ANS. -Bx By A 30* 4200 467,5N ☺ Efx=0 420 – 8x =0 By = 420N ANS 2 Efy=0 =) 467,5+By-450=0>) By=-17.5 ZANS

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