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Avicabo , Rosalyn Vi
Topic: Deszgn of Tension Memloers
Probkm: A s:y- meter tension member ta tof truss Ts fo support a look of
Vo WL of axial lead. A single angle oe te be ved ond Hf TF do be connecked
in ore kg with «two nes of teem bolts per men The steel grock tp be
vsed is Ase with Fy = ode MPa ark Fur ov MR Use Allowable Strenegth
Design
section Arealmm> — ACmm) > pia (mmr)
Lae xarxe 7M. #2 1" ze-52
Lusxys xu FZ 04 oF 19 er
Lus xsv Xu eS7.eu us Se
Los x50 x8 54.0 ws M3
L © x50 x0 105-2 0 162
Answer the folloning. amestions :
H What Te the mininum — ewoss- sectional ana of the sted section?
RWhat ts te Kephbest secon with «= ecktquate — ctength to carry the load?
3. What 1s the arose Grea capecihy of tne — sckcke section?
A What © the towing capacthy of the seleokd section 7 .
So Wheat & fhe actual slenckrncss retis of the felechd xedion 7
If mone of the above scchons 1 Ockquate tp cory the “load , wrife “none of
Hoe sections hes adequate shergth te cam the load’ tren explain. Vhy ia
detorle.
Solutions :
Mia. Ag = ~ 120m [seu ae mn | mat] on
09° oy” ead Cs
ined (nye PRaanE 20 Ror REE eto ee
Osta sum) ————#
Sk eo ao
eels ori icheg aoe ee
Trel_Sechon a Fe F Raa .
twvarxe | PH | aetes eal
Lervesxe | aaua | susta Fett
Lusxcoye | ov fu | ut vu Fail
tusxsexe | 9.94 | ue.zu Feri
Lexso x | tos. w | sq.20 ot
None of the sections hos adltquate ctrength fe carry jhe lod: All sections fait
4 Lomply the minimum «inet arr cequiced.Topic: Eccentvically loackdl —Connechone
Compiz fur the total recction ot belt 2 wing jhe following —_-methacts:
1 tlaste method
2 Reduce Tecentricity Methoct
& Ditimette swength — Method
Arolyze the fosbencer “by considering Ts renction Yo eth clirect loot
and TorqweT. the lect veairtect ey the connection is at tH.
4 Compute for the shear shrets in Bolt 2, cent
Th te belts are gomm bolts, Use the rezetions
computid = ger method. so, for Hit
thre shear stiaes will be Compete.
Solustions : :
1. Elastic Method
Me P(e) = 10m (126 mm) = UD ITOTR fmm
Them
J 2 CxtY?) = 4 Lt HO = 128 mm®
Pee Lg,
Me = sesuyeet
Tole a F osryy. ex
Pp = Ee 224m
£ Reduced pecentrietty
Ces 2-1 (ar) = err
Mettrot
Me Pee) = F920 N
J+ 12800 mm?
Be = HA = 24 gee. 2
Ry = AE = oyerz.g2 Hl
Pe = 2230 H
2 Vitimate Shength — Mettecl
ees e- C4 (ac) = B96 am
mM © Plt) = F240: 250 Hom
So 1280 min?
oe ole 50 -$% mm
ve [Ctra 4g? - e034 mm
Re Be ~ [sa¢40. ar A
number,
4. Shear Gress
1: Sheow ctvess — ( Eleshic Methedl)
2. Shear stress CReAvee Eccentriethy beftec!)
370M
Fe)
2 Shey Stress CUlhimote Strengif hethat)Topic: Analysic of Compression Memboerr (Steel Columas)
re properties of a ov shape steel seetion vred of am om long uabracec!
Wlamn at os follows =
A= B12 an™
1 = eR 10 mm
Vy =us-0q mm
= 200 om MP
The yidd shength of chel is 24e MP cet the column ts hmrget at the top ke
Fixed the opm:
determine He follasings
"the Euler entiel stress
2. faker eriieal lead
4 The alllonable compnesive stress
A the allonertcle compressive bud
Kiso, detwmine the following values Th te column ws tage at bojh 34-22 (9109) - oe See]
HEF
2 Euler Cecical vod
Pe FA) = 44.33 C8120) =
2 Allowicle Compmscive Crest
Fp 1G) wae er SABE = FO «ving
thefore HL ce nee Fae ere
Tere
Fe)Topic: Resign of Compression Members (steel Columas)
A column having a length of 7 metus 40 support an oxial let of 450 kt
peign a Wo scton that can cory the given lead.
We 6+ 2 GPa amd Frys 26 MPa
Available WwW Sections
‘Area lnm) [re Cam) [v9 Cnn) [py Cnet) ta Commit)
wines | 12323 ra40 eH 22h X lo” 12.8 K10%
wid X43 3120 eS Ae OL Meu x bo [EF Xw%
wiv da 4240 toe. OF se 113 Ge ¥ bo 38-7 xi0%
wiexso | 7414 Peete | so94 89-4 EF 18 Xio*
W109 x33 ues 126-08 Dae HAY x 10% Iss 2 Low
Aaswer the following aucstions TF the column cs ingat at bel ercts
the
b What © fhe evitieal —slencerness ratio 7
2. Whot 3 the lightest — cection uiith adequale strength te carry the lead 7
B.Whea is the alllonedcle compressive stress of the selected section?
HWhat © fre allowable comprescive lnad of the seleckd section 7
SF hha & He ocbal stencterness vaio of the seleckel section ?
TF none cf te ako sects is adequate to carry the lod wrk “none of
reactions vor ockquok chrength te carry the ud", then explain shy in tetas
Solutions:
b Criical — Slenclerness, Ratio
Ce Jee - [2am (aa,07)
Results of Imstgation
Fa Pa) Pac
Ww 2 x we
eM x43
vox 49 red 360. 293.6
Wie x 30 a sad 394.04
Vm x 33 04 312705 lo
For Wi x 33
co - [aS
a aor
He
v
= 142.00
12 4 ( 300 ovo),
ta-
33 (4a.0r je
2 £104 MPa
Pas fa CA) = sto (u2ur)
Pa = sia7as ve AFor wo x90: ka 2 127 (90 om)
S538 pp
23( 199-14)?
ce = [EEG oa ry
245 7 "
Pa era) o fo -le Ceara)
)
wee aaa aes Fa = 394944 04 af
E>
For wiox4q: Wr) Cesc)?
° rs A
Ce = tu. re
og + alles) _ (ioe 10)? . um
FOr) eUewetryP
AE. Lt) = woe +44
wre -
te gee tae (1 LEE) (BE) = 2104 same
i
Pas Falk) = 91-84 (4240)
Pa = 740 243-0H
2. WoKdr
2. BL 4 WFO
1 Fe023-4¢ N
S ws-49
A stroctwal sted column with Fig 2 MPa “having an unbrowed length of
a metus © fo Carry a total axial lead of 1800 b- which of fhe following
sectors 1s mast Ceonomical and safe to carry lead? The column is tarnget
ot both ends.
Section A reas 3p mm? Tk = 293-63 X10% mm Jy = UF-57 x 0% ment
39-1 x10% mnt
Section B Areas MS$0 mm? Tx = 1tF0Y x10" mm Ty
Section C Ana = twoso an? [x = 452-40 X10 mal Ty = 10% 24 veat mm
Section D Area = Istetr mm™ Te = 34172 1mm Ty © lot. 26 xv mnt
Try section & ( Irghtest)
ee se. 21 mm He (3) es epcy
u $e
Cee 22 hacm = prea; tH he
: a(sesq) | OU) 2 gia
FSS Caray etna?
(ens \ 7a
Fae Cm eae CPi) = een Mf
Fox = faa) = 126-34 (ust) = EAST HW
Msadse « < | moowN (FALL!)Cos sun; EL he
s-543 daxwgy — CR 2 ga)
r *etpsu) — eCarwu?
(43-44)
Fe ~ = 13123 Me
- ee) Cer
Pa = Falé) ~ 13l-29(1se00) = 1e)ortd Moor 1210 ary ent
Velo.qe EN > 1297 EN (ok!)
secqion f= mock coonomical
and safe te carry He landTopics Compression members with Local Buckling
Define the following ferms, as wscl m sheel clesiegns
) Plastic _moment
TR is ev property of a strnchral sections U 1s defingl as the moment of which
the entire ews cection has reichect ifs yitlel stress
2 Plashe hinge
att ow wel do describe the cteformetion of a secton of a beam where plechic
bencting —ocewrr
Topre | Beams cnt other Flexural anembeers
Aa Ase wetxu2 stecl secon 1 med as a Simply — support ou (ove)
geo C4509) 9 [tpt —__ . 38 Kiem Fy + 204 HOLA) pep
199 x0 >
Tangential leads pur [tacal_Meter
Pr = 007 no!
DL = (ols) (9. 314) = 4-24 N/m Fre?
= FoF MPO