sol prob equilibrium

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Page 1: Sol prob equilibrium

5-1 FBD

Det Reaction in 5-11

∑Fx=0

RBcos 30-RAsin30=0

RA= 3 RB 1

∑Fy=RBSin30+RACos30-9.8*50=0 2

From1in2

RB=245N

RA=424.35N

5-2

Page 2: Sol prob equilibrium

∑Fx=

RACos60-150+Bx=0

∑Fy=

By+360+RASin60=0

∑MB =800+150*3-RA*12*Sin60-RACos60 *3=0

RA=105.12Ib

Bx=22.44Ib

By=-451.027Ib

5-3

Page 3: Sol prob equilibrium

∑Fx

Ax=0.6T

∑Fy

Ay-80*9.8+T+0.8T=0

∑MA=2T+2.4T=4312

T=980N

Ay=-980N

Ax=588N

5-5

Page 4: Sol prob equilibrium

Cx-TCos30=0

Cy-7000+TSin30=0

6000+4000*4-2TCos30-4TSin30=0

T=5894.88N

Cx=5105.18N

Cy=4052.56N

5-6

Page 5: Sol prob equilibrium

Ax-12/13T=0

Ay-650-1250-5/13T=0

15*15 3T/3+650*7.5 3 +15 3T-5/3-60T=0

T=197.84N

Ax=182.622N

Ay=1976.09N

5-7

Fx=

RB+Ax=0

Fy=

Ay=20Ib

MA

RB-140=0

RB=140Ib

Page 6: Sol prob equilibrium

Ax=-140Ib

5-8

Fx

RACos45-T-1250=0

Fy=0

RB+1250+T-1250 3=0

MA=

2500sin60*4+4000-3T-10RB=0

T=269.97N

RB=-1185.03N

RA=2149.56N

5-9

Page 7: Sol prob equilibrium

FX

Rcsin30+RB-RA-10cos30=0

Fy=

RcCos30-10sin30=0

Mc

10sin30*3-10cos30*13-5RA-3tan30*RB=0

RA=-12.91N

RB=-74.53N

RC=5.773N

5-10

Page 8: Sol prob equilibrium

Fx

Cx+3RA/ 13=0

Fy=

Cy-2RA/ 13=500

Mc=

-500*4+18RA/ 13=0

RA=400.66Ib

RB=400.66Ib

Cx=-333.33Ib

Cy=722.246Ib

5-19

Page 9: Sol prob equilibrium

5-20

5-21

Page 10: Sol prob equilibrium