Question

90 kN/m 165 KN 120 KN.m 3m 1m 2m А в 1mA 2m с D E F

which among the choices that almost give the reaction at the hinge support?

A. 8.312
B. 52.660
C. 255.653
D. 85.427

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Answer #1

First convert the triangular load to a point load

a triangular udl of w/unit length l = a point load of wl/2 acting at 1/3 from the right angle vertex

(98x312) Trangle load 90 km A im 3m

So trianglular load can be replaced with 135kn point load at 1m from right end.

So our beam diagram is like

165k 3m 3m Im In un am B 1 RE RB A8B- This is equal to 135 KN 120 kN/m 165KN 2m 2m Im not 2 E A B PRO tee ер

This is equal to 135K 120kN/m 165KN 2m 2. F D E A B tre PRC Re+ RS + RE = 300 KN Take moment about painte 165 *(3) - R8 (%) +

So three equations in RB, RC, RE

If you solve you will get Rc = 255.653

So Answer is Option C

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