Atividades Complementares

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Exercício 7=( A ) 1250

qc =yc*S --- Formula

qc =25*(24*2*2 )

qc=2400 KN

∑ FY=0

RA+RB-12-12-12-12-12+2400 =0-240=0

RA+RB=60+2400

RB=2460-1210

RB=1250 KN

∑ MB=0 RA*24-12*16-12*14-2400*12-12*12-12*10-12*8=0

RA=29040/24

RA=1210 KN

Exercício 8=( D ) 1920

∑ FY=0 ∑ MB=0

RA+RB-800=0 RA*20-800*10=0

RA+RB=800 RA=8000/20

RB=800-400 RA=400 KN

RB=400 KN

∑MS =0 400*8-320*4-M=0

M=3200-1280

M=1920 KN/M

Exercício 9=( B ) 414,86

∑ FY=0 ∑ MB=0

RA+RB-12-40=0 RA*35-12*26-40*20=0

RA+RB=52 RA=1112/35

RB=52-31,78 RA=31,78Tf

RB=20,5 Tf

∑MS =0 32*15-12*6-M=0

M=487-72

M=415 tf/M

Exercício 10=( D ) 4050

qc =yc*S --- Formula

qc =2,5*(40*2*5 )

qc=1000 Tf

∑ FY=0 ∑ MB=0

RA+RB-270-1080-270=0 RA*40 -270*45-1080*20-270*5=0

RA+RB=1620 RA=32400/40

RB=1620-750 RA=810 Tf

RB=750 Tf

∑MS =0 -270*25-810*20-540*10-M=0

M=-6750+1620-5400

M=4050 tf/M

Exercício 11=( B ) 255KN

∑ FY=0 ∑ MA=0

RA+RB-45=0 - RB*30+45*16=0

RA+RB=45 -30 RB=-720 (-)

RB=45-22,5 RB=720/30

RB=21,5KN RB=24 KN

∑MS =0

24*20-45*5-M=0

M=480-225

M=255 KN/M

Exercício 12=( D )131,75 KN

∑ FY=0 ∑ MA=0

RA+RB-168=0 - RB*32+168*7=0

RA+RB=168 -32 RB=-1176 (-)

RB=168-36,75 RB=1176/32

RB=131,25 KN RB=36,75 KN

Exercício 13=( E ) -208 KN

∑ FY=0 ∑ MB=0

RA+RB-48-32=0 - 48*46+RA*40+32*4=0

RA+RB=80 -2208+40*RA+128= 0

RB=80-52 RA=2080/40

RB=28 KN RB=52 KN

∑MS =0 -48*26+52*20+M=0

-1248+1040+M=0

M=-208 KN/M

Exercício 14=( C ) 14940

Exercício 15=( A ) 81,17 KN

∑ FY=0

RA+RB-20-30-30-30+20=0

RA+RB=130

RB=130-81,17

RB=48,9 KN

∑ MB=0

RA*26-20*19-30*16-30*13-30*10-20*7=0

26 RA=2011

RA=2011/26

RA=81,17 KN

Exercício 16=( C ) 2612,5 KN

∑ FY=0 ∑ MB=0

RA+RB-100-100-120=0 RA*30-100*17-100*15+100*13=0

RA+RB=320 30 RA=4800 (-)

RB=320-160 RA=4800/30

RB=160 KN RA=160 KN

∑MS =0 160*15+100*2+10*1-M=0

M==2610 KN/M

Exercício 17=( B ) 288 Tf

∑ FY=0 ∑ MB=0

RA+RB-12-72-12=0 RA*36-12*39-72*18+12*3=0

RA+RB=96 36 RA=1728

RB=96-48 RA=1728/36

RB=48 KN RA=48 KN

∑MS =0 -12*21+48*18-36*10-M=0

M==288 Tf/M

Exercício 18=( A ) 801,5 Tf/M

Exercício 19=( D ) 24,24

Exercício 20=( A )320 Tf/M

∑ FY=0 ∑ MB=0

RA+RB-8-40=0 RA*28-8*15,5-40*12,5=0

RA+RB=48 28 RA= 624

RB=48-22,289 RA=624/18

RB=27,2 KN RA=22,8 KN

∑MS =0 27,2*14-40*1,5-M=0

M=320 KN/M

Exercício 21=( C )

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