Mechanics – Stacs Situaon 1 – Forces F 1 = 150 N and F 2 = 120 N act on the brack bracket et as shown shown (Ɵ1 = 38! Ɵ2 = 25"# 25"# $eter% $eter%ine ine the &o''owin# 1# )he * – co%+ co%+one onent nt o& the the resu' resu'tan tantt &o &orc rce e in N# ,# -1#./# 22.#. # 215#. $# 2-5#. 2# )he )he res resu' u'ta tant nt &orc &orce e in N# ,# 230#5 /# 2-5#8 # 205#. $# 2.3#.8 3# )he +r +roecon F b o& the resu'tant onto the b4a*is in N# ,# 1.#5 /# 18## 188#1 $# 181#1
,# -#0. # 23#81
/# 32#1$# 21#51
Situaon - – )he 9ure shows the 'oad diara% acn on a retainin wa''# $eter%ine the &o''owin# # )he %an %anitu itude de o& the the resu resu'ta 'tant nt &orc &orce e in kN# kN# ,# 258 /# 3-5 # 311 $# 28 10# )he 'ocaon 'ocaon o& the resu'tan resu'tantt &orce &orce &ro% the bo;o% bo;o% o& the wa''# ,# 3#08 % /# 2# 2#8. % # 3#25 % $# None o& these
Situaon 2 – )he hook shown in is subected to three &orces ,! /! and # / = -#5 kN! , = . kN! and an'e = 30# -# a'cu' a'cu'at ate e the 6a'u 6a'ue e o& the the an'e an'e Ɵ i& the the resu' resu'tan tantt o& the three &orces is 5#5 kN a'on the 7 – a*is# ,# 30#- /# 3.#. # 32#8$# 3-#1 5# & the the resu resu't 'tant ant &orce &orce is 12# 12# kN kN and and Ɵ = 80! 9nd the &orce # ,# #2- kN /# .#2- kN # 8# 8 #12 kN $# .# . #88 kN .# & = .#3 .#3 kN and Ɵ = -5! what what is is the resu' resu'tan tantt &orc &orce: e: ,# #3. kN /# #-2 kN # 8# 8 #81 kN $# 8# 8 #12 kN Situaon 5 – )wo tension wires are anchored to a concrete b'ock as shown# )he tension in the wires are ) 1 = 8. kN and ) 2 = -5 kN and the an'es are Ɵ 1 = -0 and Ɵ 2 = 35#
Situaon 3 – )he u7 cab'es ,/ and , are a;ached to the to+ o& the trans%ission tower as shown# )he tension in cab'e ,/ is 20 kN# # $ete $eter% r%in ine e the re o& this downw downward ard &or &orce! ce! in kN#
11# ?hat is the resu' resu'tant tant o& the the &orces &orces in the wires: wires: ,# 8.#13 kN /# 82#-5 kN # .#35 kN $# 2#1- kN 12# ,t what what an' an'e e wi'' wi'' the the resu resu't 'tan antt %ak %ake with with the the hori@onta': ,# 3-#31 /# .3#5- # 0#31 $# 2.#-.
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13# $eter%ine the %ini%u% weiht o& the b'ock to +re6ent u+'iA with a &actor o& sa&et7 o& 1#25# ,# 5#.5 kN /# 101#3. kN # 85#- kN $# 11.#32 kN 1-# ?ith what an'e ƟB wi'' %ake the resu'tant 6erca': ,# 5-#8 /# .#35 # .#8 $# .-#.2
Situaon 8 – , concrete da% retainin water is shown in the 9ure# )he s+eci9c weiht o& the concrete is 23#5 kNG% 3# ,ssu%e there is no h7drostac u+'iA and that the coeHcient o& &ricon between and &oundaon soi' is 0#.5# Ise the unit weiht o& water = # kNG% 3 and consider 1 % 'enth o& da%# n this +rob'e%! a = 3%! / = . %! J = %! and h = 8 %# $eter%ine the &o''owinE
Situaon . – )he &orce > is the resu'tant o& the &orce s7ste% that consists o& the cou+'e and the &orces o& %anitude 80 N! CB and CD as shown# 15# $eter%ine the 6a'ue o& CB# ,# 15.# N /# .8# N # 12#5 N $# 5-#- N 1.# $eter%ine the 6a'ue o& CD# ,# 5-#- N /# 12#5 N # 15.# N $# .8# N 1# $eter%ine the 6a'ue o& in N4%# ,# 5.#8 /# 51#13 # .32#$# -21#
21# )he weiht o& the da% in kN# ,# 8-. /# 51#5 # 8#8 $# 02 22# )he tota' reacon at the base o& da% in kN# ,# 1002 /# 1125 # 02 $# .3 23# )he 'ocaon &ro% KL where the resu'tant cuts the base# ,# 2#85 % /# 2#2 % # 2#5. % $# 2# % Situaon – For the &orces shown in the 9ureE 18# $eter%ine the *4co%+onent o& the resu'tant &orce in Newtons# ,# 15.#8 /# 131## 1-3#5 $# 122#2 1# $eter%ine the 74co%+onent o& the resu'tant &orce in Newtons# ,# .8#5 /# 11## .#3 $# 8#2 20# $eter%ine the %o%ent about due to &orces (N4%" ,# 5.8 /# 8. # 333 $# 21
Situaon – )he archer +u''s his bowstrin back 200 %% b7 e*ern a &orce that increases uni&or%'7 &ro% @ero to 5-0 N at +oint , as shown in the 9ure# n this +rob'e% a = 300 %%! b = -00%% and c = 200 %%# 2-# Find the tension at the to+ o& chord ,/# ,# 5.3#2 N /# 51#5 N # 55.#3 N $# 5.8# N 25# Find the tension at the bo;o% chord ,# ,# 5.8# N /# 5.3#2 N # 51#5 N $# 55.#3 N 2.# ?hat is the &orce e*erted b7 the archer at the &ront hand $: ,# 500 N /# 5-0 N # 520 N $# 530 N
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Situaon 10 – For the bride truss connecon shown in the 9ure! S = kN! = 1. kN! > = 3 kN! Ɵ = -0! = 20#
2# $eter%ine the %anitude o& the &orce ! in kN# ,# .#25 /# -#32 # 3#52 $# 2#328# $eter%ine the %anitude o& the &orce )! in kN# ,# #25 /# #5. # 8#.3 $#8#0 Situaon 11 – )he weiht ? shown in 9ure M02584252 is su++orted b7 cab'es ,/ and ,# n this +rob'e% *B = 50 %! *D = 0 %! and d = 15#5 %#
o%+ute the %a*i%u% 6a'ue o& K?L i& the tension in the cab'e %ust not e*ceed 15 kN# ,# 8#8 kN /# 2#5- kN # 85#.3 kN $# 0#2- kN 2# o%+ute the tota' 'enth o& the cab'e in %eters# ,# 12-#0/# 128#5# 112#- $# 12.#05 30# & ? = 85 kN what is the tension in se%ent , in kN: ,# 12#5. /# 1.0#52 # 1.3#82 $# 1.#-.
Situaon 13 – , bi''board 3 % hih b7 -% wide is su++orted as shown in 9ure S0242355*# )he tota' weiht o& the bi''board is 30 kN# J = 1#5 %! Ɵ = .0# ?ind +ressure! < = 1#-- kCa ?ind +ressure coeHcient! c = 1#0 3-# )he 6erca' co%+onent o& the reacon at , is nearest toE ,# 12 kN /# 10 kN # 8 kN $# kN 35# ?hat is the a*ia' stress in strut / whose cross4 secona' di%ension os . %% O . %%! MCa# ,# -#.3 /# .#32 # 8#. $# 102#-5 3.# & the strut ,/ were re+'aced b7 a 1. %% P stee' cab'e! deter%ine the nor%a' stress in MCa" in the cab'e! in MCa# ,# #. /# 2## 88# $# .#3
Situaon 1- – , rectanu'ar +'ate is %ade u+ o& 14% s
Situaon 12 – /e&ore the &ra%e is 'iAed b7 the cab'e ,$! its +osion is as shown# 31# ,t what an'e with the hori@onta' wi'' the &ra%e 't: ,# 13#8 /# 1-#15 # 1-#3 $# 15#25 32# ?hat wi'' be the tension in cab'e ,/ in kN: ,# 25#85 /# 12#52. # 1-#5.8 $# 21#.3. 33# ?hat wi'' be the tensionin cab'e , in kN: ,# 21#.3. /# 1-#5.8 # 12#52. $# 25#85
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3# )he %o%ent o& this &orce about / in N4%# ,# 1025#-/# 1001#. # 5.#32 $# 112-#8 38# )he %o%ent o& this &orce about c in N4%# ,# 52#-3 /# .32#.# -25#8 $# 3.#8 Situaon 15 – )he se%i4circu'ar arch is 'oaded as shown in the 9ure# For this +rob'e%! CB = 12 kN! CD = 8 kN! and CQ = 5 kN# 3# ?hat is the resu'tant o& the three &orces in kN: ,# 20#1/# 1#.5 # 1#2$# 18#83 -0# $eter%ine the reacon at / in kN# ,# #.8 /# 10#85 # #5$# 8# -1# $eter%ine the reacon at , in kN# ,# #3. /# 10#52 # 11#13 $# 12#8-
Situaon 1. – )he wa'kwa7 ,/ o& the &ootbride is sened b7 addin the cab'e ,$ and the short +ost o& 'enth R as shown# )he tension in the cab'e is not to e*ceed 2#2 kN# RB = 2#- %# -2# ?hat is the s%a''est 6a'ue o& R &or which the 54k +erson can be su++orted at /: ,# -. %% /# -28 %% # 35. %% $# -0 %% -3# ?hat is the a*ia' &orce in the &ootbride: ,# 21. N /# 238 N # 185 N $# 15-2 N --# & the ca+acit7 o& the cab'e is increased to 3 kN! what is the %a*i%u% %ass o& a +erson can the &ootbride carr7: ,# 85#- k /# 123#- k # 102#3 k $# 5#. k
-.# ?hat is the tension in cab'e ,$ in kN: ,# - /# 5# 22 $# -3 -# ?hat is the tension in cab'e , in kN: ,# -1#.2 /# -3 # -5#8 $# 3#58 -8# ?hat is the tota' reacon at , in kN: ,# 8-#8 /# 82#. # 8.#35 $# .#32 -# ?hat is the tota' reacon at / in kN: ,# 82#. /# 8.#35 # 8-#8 $# .#32 50# ?hat is the %o%ent at to kN4%: ,# .5#32 /# .0#-1 # 8#.5 $# 0
Situaon 18 – )he crane shown carries the -8 kN 'oad at /# )he %ast weihs 18 kN# 51# ?hat is the tension in cab'e ,$ in kN: ,# 35#85 /# 3#.5 # 32#1$# -1#8 52# ?hat is the tota' reacon at in kN: ,# 85# /# .#5 # 101#$# 0#3 53# & the tension o& cab'e ,$ is 'i%ited to -2 kN! what is the %a*i%u% 6a'ue o& the 'oad ? in kN# ,# .3#8 /# -#52 # 5#8 $# 8#3.
Situaon 1 – )he +ortab'e ca%+in stoo' shown is to su++ort a weiht ? at a 6ariab'e distance * &ro% $# n this +rob'e%! RB = 5 %%! hB = 2-0 %%! hD = 120 %%# Situaon 1 – , 'oad o& ? = -3 kN is 'iAed throuh a boo% /$ as shown in 9ure M014M0#10.# )he boo% %akes an an'e o& Ɵ = .2 with the 6erca'# Ne'ect the weiht o& the boo% and &or this +rob'e%! RB = 3#5 %! RD = 3 %# )he +u''e7 at $ is &ricon'ess# -5# $eter%ine the an'e # ,# 22#2 /# 28# # 38#5 $# 2-#5
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5-# & ? = 2200 N and * = 210%%# a'cu'ate the reacon at ,# ,# 10.8 N /# 1215 N # 13-- N $# 1-8 N 55# & ? = 2200 N and * = 210 %%# a'cu'ate the tota' reacon at +in in N# ,# -58 N /# -- N # -215 N $# 512- N 5.# ?hat is the bendin %o%ent at in N4%: ,# 3.3 /# -5. # 3 $# 285# & the breakin strenth o& the cab'e F is 200 N! deter%ine the %a*i%u% weiht ? that can be su++orted i& * = 210 %%: ,# 1100 N /# 1200 N # 1300 N $# 1-00 N Situaon 20 – For the &o'din tab'e shown! J = 1#20 %! a = 0#80 %! b= 0#.0 %! and w = 300 NG%# Ne'ect the &ricon and weiht o& %e%bers# $eter%ine the &o''owinE 58# )he reacon at in Newtons# ,# 215 /# 201 # 20. $# 231 5# )he reacon at , in Newtons# ,# -25 /# -11 # -3. $# -01 .0# )he reacon at in Newtons# ,# -1. /# -38 # -01 $# 385
Situaon 21 – )he tank shown weihs 3#8 kN# n this +rob'e%! $= 1#5 %! J = 3#- %! and Ɵ = 55# .1# & the tank is 9''ed with water! deter%ine the s%a''est &orce KCL to + the tank! in kN# ,# 1-#25 /# 1-#80
# 1#.5 $# 1.#32 .2# $eter%ine the s%a''est coeHcient o& stac &ricon that wou'd a''ow ++in to take +'ace# ,# 0#25/# 0#18 # 0#135 $# 0#1.8 .3# & a &orce + = 12#5 kN can iniate ++in! what %ust be the de+th o& water in the tank in %eters: ,# 2#83 /# 2#52# 3#21$# 3#08 Situaon 22 – , student ho'ds the 004N 'adder hori@onta''7 as shown in the 9ure M214M024312,2 in order to +re6ent it &ro% s'idin# n this +rob'e%! a = 1#5 %! b = -#5 %! Ɵ = 30! and T = 0#15# .-# $eter%ine the reacon at ,# ,# 8 N /# .20 N # 8- N $# 21 N .5# $eter%ine the reacon at /# ,# 325 N /# 3.5 N # -12 N $# 58- N ..# $eter%ine the +ushin &orce e*erted b7 the student# ,# -8. N /# 35- N # 521 N $# -25 N
Situaon 23 – , student +ushes &orward the 204N 'adder hori@onta''7 as shown in 9ure M214M024312,2# )he wa'' at / is &ricon'ess and the base at , has T = 0#25# a = 1#50 %! b = -#50 %! Ɵ = 30# .# $eter%ine the tota' reacon at , in N# ,# 80/# 85 # -2 $# .35 .8# $eter%ine the tota' reacon at / in N# ,# 52#. /# 82-# # 81#$# .35#8 .# $eter%ine the +ushin &orce e*erted b7 the student in N# ,# 115-# /# 101 # 8# $# 123.#5
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Situaon 2- – t is re
Situaon 25 – , hawser thrown &ro% a shi+ to a +ier is wra++ed two &u'' turns around a bo''ard# )he tension in the hawser is 500 NU b7 e*ern a &orce o& 150 N on its &ree end! a dock water can ust kee+ the hawser &ro% s'i++in#
3# $eter%ine the coeHcient o& &ricon between the hawser and the bo''ard# ,# 0#-5 /# 0#33 # 0#01. $# 0#21 -# $eter%ine the tension in the hawser that cou'd be resisted b7 the 1504N&orce i& the hawser were wra++ed three &u'' turns around the bo''ard# ,# 5#. kN /# 1-#25 kN # 52#5 kN $# -2#8 kN Situaon 2. – )he weihts ?B = .50 N and ?D are sus+ended b7 the cab'e s7ste% shown# n this +rob'e%! * = 0#8 %! 7 / = 0#. %! and 7 = 0#- %# $eter%ine the &o''owinE
Situaon 2 – , irder weihin -0 kNG% is sus+ended on a +arabo'ic cab'e b7 a series o& e
25%# 8# ?hat is the 6erca' co%+onent o& the reacon at ,: ,# 2100 kN /# 2300 kN # 2-00 kN $# 2200 kN # ?hat is the %a*i%u% tension in the cab'e! in kN: ,# 3050 /# 2850 # 2.30 $# 320 80# & the a''owab'e cab'e tension is 1835 kN! what is the %ini%u% sa in %eters: ,# 1 /# 15 # 1 $# 21 Situaon 28 – , cab'e su++orts a 'oad % = 120 kG% uni&or%'7 distributed with res+ect to the hori@onta' and is sus+ended &ro% the two 9*ed +oints 'ocated as shown# For this +rob'e%! R = 210 %! h 1 = 25 %! h 2 = 30 %#
81# $eter%ine the tension at , in kN# ,# 23.#5 /# 211#1 # 22-# $# 200#82# $eter%ine the tension at / in kN# ,# 188#1 /# 1.#3 # 22-#2 $# 218# 83# $eter%ine the tension at in kN# ,# 12-#5 /# 132#8 # 1-#5 $# 15.#1 Situaon 2 – )he +arabo'ic cab'e su++orts the truss shown# )he truss is +inned at $# n this +rob'e%! a = -#5 %! b = 2#5 %! C1 = 120 kN! C 2 = 5 kN#
5# )he tension in se%ent ,/ in Newtons# ,# 85#. /# 812#5 # 85.# $# 23#1 .# )he tension in se%ent $ in Newtons# ,# 18.# /# 1.2#5 # 1-2# $# 1.#3 # )he %anitude o& weiht ? 2 in Newtons# ,# 18.# /# 1.2#5 # 1-2# $# 1.#3
8-# ?hat is the tension at F where the tanent is @ero: ,# 51#5 kN /# -2#. kN # 8# kN $# 25#- kN 85# ?hat is the 6erca' reacon at +in $! in kN:
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,# 8#-5 /# .#58 # 8#.3 $# 52#28.# ?hat is the tota' reacon at ,! in kN: ,# .8#/# -5#8 # 82#8 $# .-#3 Situaon 30 – )he three hined arch shown is 'oaded with the 6erca' 'oads C 1 = 2-0 kN! C2 = 0 kN! C 3 = 0 kN! C - = 2-0 kN# $istance J = 8 % and s = . %# 8# $eter%ine the 6erca' reacon at ,# ,# 315 kN /# 325 kN # 320 kN $# 330 kN 88# $eter%ine the hori@onta' reacon at /# ,# 315 kN /# 330 kN # 325 kN $# 320 kN 8# $eter%ine the tota' reacon at /# ,# 325 kN /# 315 kN # 330 kN $# 320 kN
Situaon 31 – )he ab'e &ra%e shown is acted on b7 wind 'oad +ressure o& 1#-- kCa# )hese &ra%es are s+aced -#5 % a+art nor%a' to the +a+er# )he ro''er su++ort at / is chaned to hine and +in is added at oint $# ?ind +ressure coeHcients c 1 = 0#0! c 2 = 40#30! c 3 = 40#-0! c - = 40#30#
0# $eter%ine the hori@onta' co%+onent reacon at ,# ,# 1#50 kN /# 23#11 kN # 28#5- kN $# 15#.3 kN 1# $eter%ine the 6erca' co%+onent reacon at /# ,# #52 kN /# 15#25 kN # 12#.5 kN $# #2 kN 2# $eter%ine the hori@onta' co%+onent reacon at /# ,# -#10 kN /# 8#- kN # #20 kN $# .#23 kN Situaon 32 – , truss is 'oaded as shown in 9ure M.4 M03#225# n this +rob'e%! F 1 = 15 kN! F 2 = kN! and F 3 = kN# 3# Find the a*ia' &orce in %e%ber ,/ in kN# ,# 30#3 /# 35#.3 # 32#- $# 28#5-# Find the a*ia' &orce in %e%ber $ in kN# ,# -5#21 /# 38#.5 # 35#-2 $# -2#15# Find the a*ia' &orce in %e%ber $ in kN# ,# 2#. /# 30#25 # 28#8 $# 31#.
Situaon 33 – For the truss shown! a = 2 %! h = 3 %! C 1 = 18 kN! C2 = 28 kN! C 3 = 20 kN# $eter%ine the &o''owinE
.# )he reacon at the ro''er su++ort in kN# ,# 32#33 /# 30#25 # 33#. $# 28#5# )he a*ia' &orce in %e%ber in kN# ,# -2#33 /# -5#. # -0#. $# -8#25 8# )he a*ia' &orce in %e%ber F in kN# ,# 20#33 /# 1#. # 18#25 $# 1#23 Situaon 3- – )he cano+7 o& a storae bui'din shown is s+aced 3#.0 % a+art# $eter%ine the &o''owinE
# )he tota' reacon at $ in kN# ,# 15#58 /# 18#8 # 20#25 $# 13#-8 100#)he &orce in %e%ber in N# ,# 325 /# 58 # $# -88 101#)he &orce in %e%ber in F in N# ,# 88. /# 85.# 88 $# 8-5. 102#)he &orce in %e%ber $ in N# ,# -5 /# 82 # .3 $# 825Situaon 35 – , trans%ission tower is 'oaded as shown# ,ssu%e ro''er su++ort at , and hine su++ort at /# n this +rob'e%! b 1 = 5#5 %! b 2 = 1#8 %! h = 2 %# Roads C 1 = 10 kN! C 2 = 12 kN! and C 3 = 15 kN# 103#$eter%ine the reacon at ,# ,# 20#8 kN /# 32#5. kN # 28#- kN $# 25#0 kN 10-#$eter%ine the tota' reacon at /# ,# -8#5 kN /# --#1 kN # .3#25 kN $# 52#8 kN 105#$eter%ine the &orce in %e%ber V# ,# 10#55 kN /# 15#0 kN # 18#- kN $# 12#.5 kN
10.#$eter%ine the &orce in %e%ber # ,# .# kN /# #8 kN # -#2 kN $# 5#- kN
Situaon 3. – For the co%+ound truss shown! C = . kN! = kN! S = 8 kN! and a = 2 %# $eter%ine the &o''owinE
10#)he &orce in %e%ber J in kN# ,# .#35 /# 8#23 # 5#2$# #52 108#)he &orce in %e%ber V in kN# ,# 2#8 /# 3#25 # -#12 $# 1#8 10#)he &orce in %e%ber / in kN# ,# 5#.8 /# -#1 # -#2$# .#32 Situaon 3 – For the +'ane truss shown in 9ure S014011! a = 3 %! b = 2#25 %! h = 3 %! C 1 = 1 kN! C 2 = 3 kN! C 3 = 3 kN! and C = 1#5 kN# )he diaona' %e%bers F! /! $! and J are cab'es# 110#?hat is the &orce in %e%ber /F: ,# 5#2 kN /# 5#0 kN # -#5 kN $# -# kN 111#?hat is the &orce in %e%ber $: ,# 1 kN /# 0 # 3 kN $# 2 kN 112#?hat is the &orce in %e%ber J$: ,# 2 kN /# 2#5 kN # 3 kN $# 3#5 kN
113#a'cu'ate the &orce in %e%ber ,/ in kN# ,# 3.#5. /# 33#83 # 30#12 $# 38#11-#a'cu'ate the &orce in %e%ber / in kN# ,# 1 /# 1 # 15 $# 12 115#a'cu'ate the &orce in %e%ber in kN# ,# #32 /# #-5 # 8#.3 $# .#8
Situaon 3 – i6en the +ara''e' &orces shown in 9ure M5.J8# C = 20 kN! = 30 kN! S = 25 kN! ) = 50 kN , = 3 %! b = - %! c = 5 %! d = 2 %!e = 5 %! & = 3% $eter%ine the &o''owinE
11.#$eter%ine the resu'tant &orce in kN# ,# 105 /# 100 # 125 $# 5 11#)he *4coordinate o& the resu'tant &orce# ,# -#2 % /# 3#. % # 3#8- % $# 3#8- % 118#)he @4coordinate o& the resu'tant &orce# ,# -#32 % /# -#2 % # 3#8- % $# 3#. % Situaon -0 – )he 1#804%4dia%eter circu'ar stee' +'ate shown is su++orted b7 e
Situaon 38 – , si%+'e truss is shown in 9ure S213.425#1-# Note that a'' cur6ed %e%bers are two4&orce %e%bers# C = 15 kN#
8
11#Ne'ecn the weiht o& the +'ate! what is the reacon at +ost ,: ,# 8 N /# 83- N # 185#2 N $# .30 N 120#Ne'ecn the weiht o& the +'ate! what is the reacon at +ost /: ,# 2-#1 N /# 231#- N # 185#2 N $# 2-5#- N 121#onsiderin the weiht o& the +'ate! what is the reacon at : )he +'ate is 15%% thick and the unit weiht o& stee' is kNG% 3# ,# 125- N /# 11.5 N # 135. N $# 1211 N Situaon -1 – a +recast concrete s'ab is 'iAed b7 &our cab'es as shown in 9ure S04M(.."# Init weiht o& concrete is 23#5 kNG%3#
122#$eter%ine the tensi'e &orce in each cab'e in kNG ,# .#833 /# #21# #553 $# 8#325 123#?hat is the tensi'e stress in each cab'e i& its dia%eter is 1- %%: ,# -#0. /# 52#3. # 58#$# --#3 12-#& each cab'e de&or%s b7 1#5 %%! what is the 6erca' deWecon o& the concrete in %%: ,# 1#85 /# 2#0# 2#3. $# 2#21 Situaon -2 – , +o'e is su++orted b7 three tension wires to resist an u+ward &orce o& 30 kN acn throuh the +o'eXs a*is# 125#a'cu'ate the &orce in %e%ber ,/# ,# 1-2#8 kN /# 1-3#8 kN # 1-1#30 kN $# 153#25 kN 12.#a'cu'ate the &orce in %e%ber ,# ,# 1-3#8 kN /# 153#25 kN # 1-2#8 kN $# 1-1#30 kN 12#a'cu'ate the &orce in %e%ber ,$# ,# 1-1#30 kN /# 1-2#8 kN # 1-3#8 kN $# 153#25 kN
Situaon -3 – in 9ure M34M0-458 the %ass o& the bar , is ne'iib'e co%+ared to the %ass o& the sus+ended obect at $! the bar e*erts a &orce on the Kba''L at , that +oints &ro% toward ,# )he %ass o& the obect at $ is 800 k# )he 74a*is +oints u+ward# 128#?hat is the tension in cab'e ,/: ,# -58. N /# 8.5. N # 3.0 N $# .80 N 12#?hat is the tension in cab'e ,: ,# .80 N /# 3.0 N # -58. N $# 8.5. N 130#?hat is the tota' reacon at ba''4and4socket oint : ,# 131.0 N /# 125-8 N # 1085 N $# 15.32 N 131#?hat is the tota' 'enth o& cab'es ,/ and ,: ,# 23#51 % /# 20#58 % # 28#.3 % $# 2.#8 %
Situaon -- – )hree stee' rods are connected at , where &orces C and are a++'ied as shown# C = 1800 N! = 1200 N# $eter%ine the &o''owinE 132#)he &orce in rod ,/# ,# 13.5 N /# 10 N # 15 N $# 1008 N 133#)he &orce in rod ,# ,# 13.5 N /# 15 N # 1008 N $# 10 N 13-#)he &orce in rod ,$# ,# 1008 N /# 13.5 N # 10 N $# 15 N
