Resistência dos Materiais - Hibbeler 5ª Ed.Cap01 - Exercícios resolvidos

Resistência dos Materiais - Hibbeler 5ª Ed.Cap01 - Exercícios resolvidos

1. 1-1. Determine the resultan internal torque acting on the
eros sections through points B and C.

<0, 730-5000

meint Am

Bunt 12-000

4
Tes Am soi

1-2. force of 80 N supported bythe bracket shown

Determine the restan ternal loadings acting on Ihe

‘esto through pont À

Focas of Extra

Bat weinen

” Meran ve ES
Rana rois 5

G20 mernmernsme
“tinge sain 20

Man -0355N-m Ans m

€ E

EM, =D: M +80 sin ISO. 1sin 30) sa
80 cos 190.006 309) m0 se.

NI

ape ine Mac opie
recon oro,

2. 1-3. The beam AB is five tothe wall and has a uniform
weight of 80 ID If the trolley supports a load of 150 1,
determine the esultant internal loadings acting on the cros
sections through points C and D.

+

Semen

dre mao a

ATER =O 20-150 MN
x

Kessie Ans

GEM = MI <0

PS

Paño no Am A

DES
= 020K Am

(Eo -M-ouase0

Mie Am

“1-4. Determine the resultant internal torque acting on
the crus sections through points C and D of he shaft. Ihe
shaft is Ged at B.

gustan of Equ
wo O Am

20-0050 IN Am

3. 1-5. The beam supports the distributed load shown,
Determine the resultant internal loadings on the cross
section through point C. Assume the reactions at the
Supports A and B are vertical.

Game 3,20-«i0 1429 20
so

TER 4esoneree
peer

Equation of putin Fo pt
Sun Mn Am

Einen 27-20-ma0
AS

frame Manu.
Gem Wera Am

pren nn Ye pp

1-6. The beam supports the distributed load shown
Determine the resultant internal loadings on the cross
sections through points D and E. Assume the reactions at
the supports A and B are vertical

san of garen uo

ES

.

Supper Restos Minen anne
mes ane
Grue OIL «0 a one
sons Gero Mersn-ame ni

vt MD Am

pue 4430-6100
peer

osé

ran of alta orp comes

. Am

MER Wear
Bam

Grue ann
6 Man DOSIS Am

bee akute m ae

4. 1-7. Determine the resultant internal loadings on the ross
section through point D on member AB.

spot ass ssi
Ea Sea umanm

ES 19-10:
mo

Signe dama «o
Amor

Equation Equis

Eee
Per Am

e TEO OmS-OMS-r0
persis Am

Grue m rousin-as7son=0
Mes Am

“1-8. Determine the resultant internal loadings at cross

sections through points E and F on the assembly. 272777

ere mi 124eg)oussn,

AE

herum
stmee Arkumm-unsso

Aromen
sus james danes names

il Fons Am

Eynaonı of Egin: Feo

A)

ge u ea am
Nase yes ame TE
AS ds PR

ps Y rt

5. 1-9. The boom DF ofthe ib crane and the column DE
ave a uniform weight of 30 Rv. the host nd load weigh
300%, determine the resultat interalloadiags isthe cane
08 eros sections through points A,B, and €

Equations of Ellen: For ps

Erno, mo am wich
TER a none *
% =
Grm = 118019300) 0 En
Me souprssots

quaint of Egle ect

Prey

TER =, 150-3000
paren Am

Goma -m-s0s9- =
MES ERA nes Ans

gv ng tes cl opa ren

uations of Eglin rg

Ean eo, vo an

ATER HO -Ne=280-650-30000
Noa Am

Guen sao
a Am

egreso ine Na Mz Be patie
cn ou shown on FBD.

6. the cross section at point C. The cooling unit has a total
weight of 52 30 and a center of gravity at G.

1 »
pa : Ya

Bow wur

ade

Khon

o

From FBD
GEM = BO Tn
Frm FD)

GEM TEE E
Fm FH

ERRONEA Mesa Ane

ee re OA

GSM -0 Ramon AI 0)=260)-Me =0
Me=900 kg 8 an

7. 1-11. Determine the resultant internal loadings acting on
the cross section at point B.

am |

hee Ans
+tag no we laın.o
pao Sana)
ven im
Grue ohne

Mr

1520 SR Am

I-12. Determine the resultant internal loading on the
‘ros section through point C ofthe plies There isa pin at
A, amd the jaws at B are smooth

tenue vue Yer ON
ann meno vs

Date A Meran A

120mm

20N

von

8. Determine the resultant internal loading on the
ros section through point D of he piers.

Ne ER = 0, Wy ~ 2000130" O

=03N am

vines.

lo 2081030" = 0 Ny = ION An
20"
EM = 0 My = 2008)" Mo = ON Am

1-14, The 8001 load is being hoisted at a constant speed
‘using the motor M, which has a weight of 90 Ib. Determine
‘the resultat internal loadings acting on the cross section
through point B in the beam. The beam has a weight of
40 bead sGxed to the wall at À.

ae

SER =O 0-0

PET Am
MER e0 14-08-0600

wos Ans
GEM =o =m - 0102 - 084425 + 04015) «0

Mess am

9. 1-15. Determine the resultat internal loadings acting on
the cross section through points C and D of the beam in
Prob. 1-14 ar

pa

Mean Ne 04h

DATES CETTE

Me 080125) - 0439) + AS = 0

Men 618 ne

seep
sie

For poet ob
FER

Être moo
AERO 00 DINO: LAS iO

Lette = 0 Mo - 00 - DOI) - 0812428) = 0

10. +I-16, Determine the normal force, shear force, and
moment ata section through point €. Take P = SN.

Grme ta29-noH-0 remom

ou ACE

Equations of Elian Feces

DES

tree Memo ES]

DÉCRET

Gros umo
E Me=600KN-m Am

Neg eine tenta go
esa howe on FD

1-17. ‘The cable wil fail when subjected to a tension of
2KN Determine the largest vertical load P the frame will
support and calculate the internal normal fore, shear force,
And moment at the cross section through point C for
‘his loading

CGN Re

Bree une ar

ATER AO: 405000 Ars

aan of Equis Fo pu

tapes soso
Kram a

Meno ANOTA #0
MA A

egies nde ut Neo opie

11. 1-18. The sky hook is used to support the cable of a
scaffold over the side of building If it consists of a smooth
rod that contacts the parapet of a wall at points A, B, and
determine the normal force, shear force, and moment on
the cross section at points D and E.

Dies Neon aceon

Etant of Equ Fr poet

GEM Menan-saon no
Korn Am Jo
Euan of Elton: orge oom
DA
StRee 0e 0 Ne
CE am 4 dr
EE" Am Re
Gusta sono o ant
= Am

12. 1-19. The serving ray T used on an arplane is supported
‘om each side by an arm. The tray is pin connected to the arm.
at A, and at B there isa smooth pin. (The pin can move
within the slot in the arms to permi folding the tray agaist
the front passenger seat when not in use) Determine the
resultant intemal loadings acting on the cross section of the
arm through point C when the tray arm support he Loads
shown,

W ae,
en (sd ls
< ASE
x smn
SS,
4)
Je

PERRO Mg do e

NER 00 IP Din REO ama
LEN = 0, Me = HOS con 60% 0115) ~ 1205008" + 0255 = 0

DETTES Am

13. 1-20, The metal stud punch is subjected to a force of 120
N on the handle. Determine the magnitude of the reactive
force a the pin A and in the short link BC. Als, determine
the internal resultant loadings acting on the cross section
passing through the handle arm at D.

GEM = 0, ic es 30) = 120500) = 0

fe = ISSN in Am
TER 4 1562 20.0810" = 0

A= sen

PERRO AIM O A= ON

= TO
Zoo = ra Am
Sepmen

ER =e mm.

YER eo Am
GEM 0. My ~ 12903) 0

Mo = ONm Am

14. 1-21. Solve Prob, 1-20 forthe resultant internal loadings
acting on the cross section passing through the handle arm
at E and at a cross section ofthe short link BC.

GEM © 0 ces 87150) = 100500 = 0

Bee ISON = 1385618

Same
PRO mao am
NER no-no Me HON =

(EMO Me MONO Mem MON Am

1365640
N
Short
Piao veo Ans
TER =O; HMS Ne NADAN Ans

Gimme Ane

15. 1-22. Determine the resultant internal loadings in the
beam at cross sections though points D and E. Point Eis

just tothe right ofthe kp oad

Sepp Reco mit Ab sons
Game 9000-40100 Ara

Dre neo

HIERRO BABA 60089
guano of Epa Er pú

TR 300-225-%00
conne am

A Ad
Monts Am

suena of Eten Frit
Bin Me Am

TER a 0-3- 400
roue Ane

és en a

re td Min deep
enw a home BD.

1-23. Determine the resultant internal loadings acting on
section a-a through the centroid, point C on the beam

Suppor Renton:

(uno moin jmomo-o

Mu 0 20
Moe MORE RER Am

are ini Oa. nt, ide

16. “1-28. The wishbone construction of the power pole
supports the thre lines, each exerting a force of 8001b on
the bracing struts. Ifthe struts are pin connected at A, B,
and C, determine the resultant internal loadings at cross
sections through points D, £, and F.

Support Recon PDG wk),
o 092.69 -100 «0 mw
[A ao m
Si ma a) ya

Brom 2.0108
Faro

Dee mamo Aeon
“Tee Ammon a simo

ran)

hno mo un
+105 no, 4000 too-sioro mimo

Eons of Equ ¿Fo pa D (PDD)

Ha Moo Am

(Eso dano no
Fc FO)

hm singe Yasın a

AU Mme Me ane

GEM msg Meinen Ane
Foo F804)
FRE WE yao Am

TIERE Memo AN

z

CELO O A am

17. 1-25, Determine the result intern tous stig on
section bb through he ented pout on the boas

Gems nom mom.

unions of Eglo ot scion

ane Klonen
AS

atun,

man 20
9718-03909 Ast

(ricas mom
lomos...
PU nv Am

anon
bear

1-26, "The shaft is supported at its ends by two bearings A
and B and is subjected to the forces appied to the pulleys
fixed 0 the shaft Determine he resultant internal loadings
acting on the cross section located at point C. The 300.N
{ores act inthe ~2 direcion and the SOON forces act inthe
‘+x direction. The journal bearings at À and B exert only x

and z components of force on the shaft.

10 (10-020,

ER Oe, #0
ER=O. 012020: (eue an

EMO: UA: We,

Emo yo

EMO ey -100002)+799045)=0; de IN

18. 1-27. The shat is supported at its ends by two bearings A
and B and is subjected tothe forces applied tothe pulleys
fixed tothe shaft: Determine the resultant internal loadings
acting on the cross section through point D. The 400-N forces
actin the ~2 direction and the 200-N and 80-N forces actin
the +y direction. The journal bearings at A and B exer only
y and 2 components of force on the shaft

an 19104) +40H07 An
Ann

sr

124-0 INACIO Amen
seen nem AMÓN
guaons of Elba Fo pd

tu CE am

26-0 (eue
un Am

Bho moroso

FE er) Am

Enno MODE), «O
(04), 2-503 Nm Am

IMD: DUDO =D ID), 20

19. ‘1-28. The shaft is supported at its ends by two bearings
‘A and B and is subjected to the forces applied to the pulleys
fixed to the shaft. Determine the resultant internal loadings
‘acting onthe cross section through point C. The 400-N forces
actin the - direction and the 200.N and 80-N forces actin
the + y direction. The journal bearings at A and B exert only
y and components of force onthe shat

Sper Reactions:

20, 14049 440902) -A,0.4 #0
= per

15-0 -21571-8, +404 10-0
penny

Wyo Laune Amann

ee Re

von

Annan of Enten: Foc

In We am
hao 07, 20
Vin =
Beem aseo
Wen am
FE er) am

244-0. (Me, GATO man
Wenn Am

EMO; MANOLO
E Moria Am

1-29. The sign as a weigto£15001b and enter of rai
MG tits subjected othe uniform wind loud of 66 It,
determine the results sera! oadiags acting onthe cess
section ofthe post at A. Te post has a weight of 100 Ibe

ren of abi Rap i Rz
er an conne
+ 7200 |

CES

Thee Mesa iri
WE Am >

TMB, s72K10-1549 a u
ER Am 5

EM 04), 15165) ao
0), 3750 am

le
Be mue te
BE

20. 1-30. “The curved rod AD of radius r has a weight per
length of Hit lies inthe horizontal plane, determine the
Fesultant internal loadings acting on the Cross section
through point B. Hint The distance from the centroid € ol
Segment AB 10 point O is CO = 09745.

ER =0 %- Erno, ye omswr

10 mao

re

Emo 0. = oor we!

Em 0 Mee MOB Mn - 029507

1-31, ‘The curved rod bas aradiusr and ified 1 he wall

Determine the resultan inter! londingr acting os the
os section through A which is located at an ange ® from
te horizontal

Equations of Equ Fc poa

ga, re

Añgno Woman
Kerne Am

Gun menst-mn.n
Ken am

21. “1-32. À differential element taken from a curved bar is
shown in the figure. Show that dNid@ = V, dVido =
AMD = —T, and db = M.

K

a 4

22. 1-38. The column is subjected o an ana force of KN at
its top. Ifthe cross-sectional area has the dimensions shown,
inthe figure, determine the average normal stress acting at
Section ana, Show this distribution of stress acting over the

re

A= ASNO) + 010)
= oman? 44,10

= saMPe Am

PB. nun
474005

1-34. The cinderblock has the dimensions shown. Ifthe
mater ta when the average normal res race 120 pst,
determine the largest centrally ped vertical load Pit an
sport

ETES

mo lee
=

Fo "GD = Am

1-36. The cinder block has the dimensions shown, I i ie
subjected to a cenvaly applied foree of P = MOlb,
“determine the average normal ses the mate Show te
result cng on a diferent volume element ofthe material

Aroa
Average Norma Sits:

Ten

23. “1-36. The SO: lamp is supported by two steel rods
connected by a ring at À. Determine which rod is subjected
Lo the greater average normal stress and compute is value
Take 6 = 60. The diameter ofeach rods given inthe gure

Method of Jit:
NERO ee Renan
ALGO he Aeramı

Areta Normal Ses: The eens a A,
es ma ar nd e bc spa o

1-37, Solve Prob 1-36 for 0 = 45e

Fyn Ets" 0 uw

ao sn 000

San and ie
house random

Average Norma ies: Tapes sees ro,
osetia Se ml mc ad e eet fe

eee am
a 29 Pi

24. 1-38 The SO-1b lamp is supported by two steel rods
connected by a ring at A, Determine the angle orientation
@ of AC such that the average normal stress in rod AC is “

fice the average normal stress in rod AB. What is the rae
magnitude of this stress in each rod? The diameter of each
rod piven inthe figure.

Method of fonts

Emo art Rces 000 u

1 ña fe

ATER AO, Facto etn 050.0 u dy

Average Normal Sr + Roque 0210 ie

fe f

a terme ae

Savage (Dies

Man Renta
1-39. ‘The thrust bearing is subjected to the loads shown.
Determine the average normal stress developed on cross
sections through points B,C, and D. Sketch the results on a
ferential volume element located at each section
Seon
Am m
rs he Er: ©
re Py _
gas RM
a ó eS 0
ET
Binge 2

25. “1-40. The shat i subjected 10 he
he abat pases through the $3 men diameter hol inthe
id support A. determine the bearing stress ating onthe
alar € Also, what the average sear stress acting along.
the sido surface of the colt where Ii ted connected
tothe 52mm diameter af

Bears Ser

ET
Toe 0555 ~ de

Avira Sh Sr

seu)
Se x NET

1-41. The small block has a thickness of Sam. Ifthe stress
distribution at the support developed by the load varies as
shown, determine the force F applied tothe block, and the
distance d to where itis applied

of oa ateos agen

omo Loma
poa Am

tor
Fanlnem

mano ob oa

000. jordano

26000 3960

PCT ERE

26. 1-42. The supporting wheel on a scaffold is held in place
fon the leg using a mm diameter pin as shown Ifthe wheel
issubjected to a normal force of 3 EN, determine the average
shear stress developed in the pin. Neglect friction
between the inne scaffold puller

the wheel

TIRO NANO voisin

EU none Ane

FF

27. 1-43. The pins on the tame at B and € each bave a
diameter of 025 la. If these pas ae subjected to double
‘shear, determine the average sar sess in each po

Suppo Ruten FBO)

forma 00 [phone]
2.008

Bann mn uso

ATER =, 69-20-5405 9300

Fee ID.
Gusana Go-mun-e Gatos q
TER eo B0150-0=0 8, «08 me

FeaFB00) wl
[CPE EEE a
se e

Fee FBO. an)
Diet emo Gen LE
ce Hahn (FET CAES

on 0

Average thea rns + Pos Bw Ce ice
Éd rs own on FBO)

aOR" Haas
esp whose Am

co,

voran

Ah asym
©

28. 1-44. Soie Prob. 1-43 assuming that pas B and Care
subjecied 1 single shear

Suppor Beacon F800)

(ro 10 «0
Den

Einen ge nen
HERD 60-100-5 40 ges
(amoo Go-mis-0 ion

AS

frei)
Grm mus. m-en-0
BER Gamo Gen

Mace R= TT

Average shear tie ; Pos nd Can ceo
‘pe cc or on FRO

vrs

A

ALES
Gen ©

29. 1-46. The pias on the frame at D and E each have a
Cameron of 025 iI there pias are subjected to double
Shear, determine the average Shea ses in each po

Sapper Ruin F800)

{mo 2946) +3000)-0,6)-0
Des

Ein ogo Eee

ATER +0, OIGO Bo

Avira thea rat à Pos Du Eu nent
Ar a FED

Fund. f=, 6502 ten You Rasa

(ee ie FOP
Breer Am

rected, IS
DR

a
A” FO
pim A

«o,

géo

fon
©

yest

30. 1-46. Sole Prob. 1-85 assuming tat pins D and E are
subjected 1 singe shear

a

Suppen Reunion ¿180

Esa eme

Says ge em

“TER ME gen

Arne ha rs: Pas Dr Em
ge rs oo EBD Mandl

AS

apena

NS

son
an

6

Asa
«©

dans e

31. 1-47. “The pedestal has a triangular cross section as shown
itis subjected to a compressive force of 00 Ib, specify the
x and y coordinates for the location of point Py) where
the load must be applied on the cross section, so thatthe
average normal stes i uniform. Compute the stress and.
‘Sketch its distribution acting onthe cross section ata location
removed from the point of load application.

>.

se

ce Be Au
47 Tout

1-48, “Two designs for a shock support are shown in the
figure The spring has a stiffness of £ = 15 N/m and in (a)
itis uncompressed, whereas in (0) iis orginally stretched
02 m. Determine the average normal stress in the Smm
‘ameter bolt shank at A when the 6XN load is applied. In
(0) the bracket B is ot connected 10 the suppor. 13

Case (a)
TER

‘case(0): IC EN is appli wo suppor. he sping will su
Fokx 6k = SIN) A

zu 04m > 02m

Hence otis ere supported by spr:

PSN orn
PS
3 7 Hoos

CASE la)

orn
CASE Cb)

32. 1-49. “Tivo designs fora shock support are shown in the
Figure, The spring basa sine of À = ISKN/m and in (a)
itis uncompressed. Determine the maximum amount which
the spring in (b) must be originally stretched so that the
average normal stress in the Smm bolt shank at Ais
equivalen for both designs when the load of 6 EN is applied
in (b) the bracket B is not connected tothe support What
isthe bolt stress in both eases?

CORN is applied to suppor, the spring will sec
F= kay ON = (ISKN/m) x

x= 04m Ans

Hence lod iseniely supported by spring.

PL OWN
GA Roms" 206MPa Aus

ohn

O Q
orn 6m
seta) ec)

1-5, The Joke bce o de foes and le
‘ng on the cos section through À and B_ The bolt bas
diameter of 025 ia, Hin The couple moment à resisted
ya st couple forces developed isthe shank ofthe bl

patos of Eat
Men ee ea

ea oe fy a (ETE $6120

a Mom Am

x

cok

33. 1-51. The built shat consiss ofa pipe AB and solid
104 HC. The pipe has an inner diameter of 20 mm and outer
diameter of 28 mm. The rod has a diameter of 12 mm.
Determine the average normal stress at points D and E and
represent the stress on a volume element located at each of
‘these points

= sum © An

Tara
mu" ar
MD ore Am
TE]

1-52, “The anchor bolt was pulled out of the concrete wall
‘and the failure surface formed part ofa frustum and cylinder.
Ti indicate a shear failure occurred along the elinder BC
and tension failure along the frustum AB. If he shear and
normal stresses along these surfaces have the magnitudes
Shown, determine the force P that must have been applied
to the bolt

Faro taun, À 228220350029 (FT)
commet

ES
Fc Beene, A (0090 00m

KR) cb

Equi of Apart.

engen Ponto

34. $8, The plastic Blocks subjeced to an aia compressive

{orc of 600 N. Assuming that the caps at the top sed Cones
distribute the toad uniformly throughout, she bce
determine the average hörmal and average shear “ek,

ag along seston ana

Ange
A

von

AER 20 nenn

1-54. ‘The crimping tol is used to crimp à
wire El If force of 20 1b is applied 10 th
determine the average shea stress m the pin se

Only a vertical force is exerted on the

EAN

ET

Gin 49-1590
FRERE man
seh Sr: ta etn

A

e ES

end of the
1 handles,
‘A.The pin
is subjected to double sheat and has a diameter of 020

35. “1-88. Solve Prob. 1-54 for pin B. The pin is subjected to
double shear and has a diameter of 02 in

‘Spor Reina
Fee 000 @
GER 00-800

Bus o 4
one Mar on ature
one rés
AA CP
wm
Pe
rs
een a Bon

1-56. “The joint is subjected to Ihe axial member force of
Skip. Determine the average normal stress acting on sections
AB and BC. Assume the member is smooth and is
LS in thick

ee

Ne

¿TER GRUP ecc O
Ne = 500%
DER 20, Nan boons0" $5205.20" =0

ons Ans

ec USNS)

36. 1-87. The driver of the sports car applies his rear brakes
And causes the tres to ship I the normal force on each eae
‘eis 400th and the coefficient of kinetic fiction between
the tires and the pavement is m = 05, determine the
average shear stress developed by the friction force oa the

es Assume the rubber ofthe tres i lenble and each tne
is filled with an ar pressure of 32 pa

Famneos (2) 220

1-88, Tae ar basar enana Aundisubjeed
ina" Dane ds uml
rss ge snd wh
in at fom te toon
Aa a nine of0 (0278 97)

N
2 jac,
Equations of Equilibrium. ¥

yee te . pes

Ara qu a A

37. 1-59. The jaw clutch is used to transmit torque of 45016
fin only one direction. If each shaft has two teeth placed
around its eitcumference as shown, determine the average
‘hear stress along the 100€ AB of each of the teeth

E =e Pe soy

A= OBS = 068 = oust iat

EE
AT aa ip 22.9 koi Am À

3600
Cri]

1-60. The bars of the russ ach have a cross-sectional
arca of 25 in’. Determine the average normal stress in cach
member due to the loading P= 8 kip. State whether the
stress tensile or compressive

LAUF
ne mer

CET

Sorel tresse

38. determine the maximum nase cde
P of the loads that can be applied to the truss. 0

ere
rame fre
kenne ase nae je
Line conos
nero
A
reo a

1-62. The prismatic bar has a crosesecinal area A. It
subjeted toa distibuted anal loading tha increases lncaly
from w = Oat x= Otow = wyat x = a, and then decrease,
linearly to w = 0 atx = 2a, determine the average normal
stress in the bar as a function of x for 0 = = a

Henao ee
n

Het

39. 1-63, The prismatic bar has a cross-sectional area A. If itis
subjected o a distributed axial loading that increases nearly
from w = Oat x = Dto = ua x = a, and then decreases
linearly to w = 0 at x = 2a, determine the average normal
stress in the bar a function of x for a <x = 2a

Equation of Equity

Jane

Te

e poa

o. aa

"1-64, The bar is subjected to a unifommisributed axial
loading of 10 Nim and concentrated force of 1.5 KN at ls
midpoint as shown. Determine the maximum average normal
stress inthe bar and its location x.

Fans of Eelam

Sree RDS 0
EAN

ade
E tx ten

Average arma Sres By gc cian wenge

Dore ¿esta
na, & once
Pan 7 TD "7 ME ao

LAS. The bar bas a cresectonl are of 40 (10-9) It
‘is sujet o à uniform axl dated loading along iu
leapt und to tw conentated Loads as shown, determine he
average normal suess ln the bar as a funcion of © for
Oex<0sm

Equation of Equa

Binmo Medrano
ooo Ein

Pre
Average Normal Sres + ” en
PARTIEN TAR

An
MS Aue

40. 46 the tapered rod has ads of 7 = (2 ~ 4/6) in
sod is Med to e dm Ca) ©
Lo = (60 440 bia. Deemine the mere Eig
Sess athe centro hee

lio ve noe

aa am

1-67, The seuss is made from three. pin-connected
members having the crosssecional areas shown In the
figure, Determine the average normal stress developed ln
each member when the tras is subjected to the load shown,
State whether the stress tensile or compressive,

© am Ast

Dam

u m m Am

41. 1-68. Rods AB and BC have diameters of 25 mm and 18
mm respectively. I a load of 6 KN i applied to the ring at
5, determine the average normal stress in each rod if
Er

PERSO Mes Fe GOAN
TER =O: Gand sn Au =o; Ry = 103928

1039010,

MA
ne Be = SMD Dee ae

42. 1-69. Rods AB and BC each have a diameter of 4 mm. If
load of 6 KN is applicd to the ring at B determine the
smallest angle 0 of tod BCso that the average normal tres
in each od is equivalen

ERS Roma ums à 0

More
4

TEE =O; ini + Gain a
Fa vane Fae on

Ans $ bo
x

Be sam |
RGO me Am

Fon
1

1-70, ‘The beam is supported by a pin at A and a short link
BC. 1 P=15 KN, determine the average shear stress
‘developed in the pins a A,B, and C. All pin ae in double
‘shear as shown, and each has a diameter of 18 mm.

Vice ay,
SE.
SELL um

1
pr

Fees Band
2500) pases am as
ee?

ws

Fi = VES TDF = sur
us“
¥, 225000) am am ven
‘wee

43. 1-71, The beam is supported by a pin at A and a short ink
BC. Determine the maximum magnitude P ofthe loads the
‘beam will support ifthe average shear stress in each pin is
not to exceed 8) MPa. All pins are in double shear as shown,
“and each has a diameter of 18 mm.

Lam ru AAA ne

CHER =O Ara o

De
ATER 0 4 Pe UPRO
Pese

SPF ne

Rare

44. 1-72. The pedestal inthe shape fa rustum ofa cone is
made ol comet having a specf weight of y. Dares
e bearing stes acing au ase in The volute O
come of rads and Bight his Ye Fahy

At

Beare Sea

dr

1-78. The shape has a radius that is defined by
7 = 04 cos(ny/3) m Determine the average normal strese
at the support he material has a density of 9 = 3 Mg

Geom repars

ar) sa
a ony safran fa

owen. cp)

ecu (aro
Ser

W epa¥ CNO = tases

45. 1-74 Me radius of the pedestal is defined by r =
(o.5e-2) m, where ys given in meters Ihe matenal has
À densy of 23 Mgim determine the average normal stress
atthe suppor.

ar
cé
ML
ah

A2 05 = 078540!

ae eee dy = ROSE (eee

Vy mice
ve pv cons Nica

wen 12a [er EE CE

m

“sm Am

46. 230 Mg sumas made of concrete having a des of
230 Mei! At its

e

E)
CET

ETES
Kern

. an 2608 ame

47. *1-76, ‘The pedestal supports a load P at its center. Ifthe
material has a mass density p, determine the radial
dimension as a function of 2 90 thatthe average normal
Stress inthe pedestal remains constant. The cross section s
circular

Regie
AY

Paks dk = AGW

ni. ow ey,
es

an

a

=

Fifa fe

ES

LP Member FE subjected 10 a compresve force of
SOOI FA and B are both made of wood and are} i. thick,
determine 10 the nearest in. the smallest dimension À Of
the support so that the average shear stress does not exceed

Fate 0 ps

Mers

48. 1-78, The 60 mm x 60 mm oak posts supported on the
Pine block, IE the allowable bearing strates for these
materials ate as = $3 MPa and dng = 25 MPa, determine
the greatest load P that can be supported. Ita pi bearing
plate i used between these materials determine ts required

‘tea so that the maximum load P can be supported What is
this toad?

For alu of pie beck:

For taro ok post:

Wher
es

poisse

Arc of pl based on ang of pin ck

18480107
2500 UD

ACI) Ans

Pas SN ans

TW. The eye bolt used to suppor the load of S ip
Determine its diameter d to the nearest Jin. and the
required thickness h to the nearest Jin. of the support so.
that the washer will not penetrate or shear through it The
allowable normal stress or the Bot is Gun. = 21 ksi and
the allowable shear stress for the supporting material is
Tan = SS

500) = 00
100

te}

49. “1-80, Member A of the timber step joint for a russ is
Subjected 10 a compressive force of $ KN. Determine the
required diameter dof the steel rod at C and the height À
of member B ifthe allowable normal stes for the ste! ie
(ous 157 MPa and the allowable normal tess fr the
MO (rw = 2 MPa. Member Bis SO mm tick

Benson of Elbo

Dee sto mo na
NS

ten à Det Say th

se qe

Ces

1-81. The fillet weldsize ais determined by computing the
average sear stress along the shaded plan, which has the
smallest ross section. Determine the smallest size a ofthe
wo welds if the force applied 10 the plate is P = 20 kip The
allowable shear stress or the weld materials to = MKS

——

Sip À = ai 4548 = 292840 2

ET à

CT

1-82. The fillet well re a = 025in. Ifthe jointis assumed
to al by shear on both sides of the block along the shaded
Plane, whichis the smallest cross section, determino the
largest force Pthat can be applied to the plate The allowable
shear stes fr the weld material i aros 14 Ks.

‘Ares = COLORS) |= Lata?

meh ek ig

SS

50. 1-83. The hanger is supported using the rectangular pin
Determine the magnitude ofthe allowable suspended load P A

if he allowable bearing Sres & (onu = 220 MPa, the

allowable tensile stress is (Mu = 150 MPa, and the a
allowable shear stress is ma = 130 MPa, Take t= 6 mm,

a = Smm, and b= 25 mm

CRE Cp ve
Abe Sh Se ap ie
shar Reno ve
N aca
Meow
Ani Reig S Be meng A
200%) race

Peso (Cent Ana

1-84 The hanger is supported using the rectangular pn
Determine the required thickness £ of the hanger, and =
dimensions a and b if the suspended load i I

WEN The
allowable tensile stress (sn = 150 MPa, the allowable =
bearing tes (nn = 290 MPa, and the allowable sheat
SESS Fa = 125 MPa

CPE Vaso
De en Am
Alzate Sher Sons: Fade
Ant Baio Set: Eg
om
a no)
CRETE

51. 1-48, The frame is subjected to the load of 15 kip,
Determine the required diameter ofthe

‘tthe allowable shear tes forthe ma
Pin A ls subject

ns at À and B
ran = 6,
19 double shear, wAeren pin Bis

Serpan Reactions: From RD,

LO ein 1I «0
eo

Fra Fon),
Lime pun-iamee gras

FERRO Amis Aero
ATEG AO age eins
Alloable Sher Ser: Da tie
Pad used doe tee wt
AA an

DTA

Pe
ara Am 200 xp
cons Kelboup
2100
m 2m
ET Sr

Maren Am

52. 1-86. Determine the required cross-sectional arca of
member BC and the diameter ofthe pins at A and Bi the
allowable normal tess is gun = 3 ksi and the allowable
shear stress toy = Ak

= 90 = PROA Kom
IN

he = 0577? Am

fs = [OWE TOF « 173209

ane #400 =

pb rk

dora Am

has ei
na. se)
to Far

ao Am

1-87. The connection is made using a bolt and aut and
{vo washers Ifthe allowable bearing stress for the boards
[© (one = Zieh and the allowable tans stes forthe
bolt task $ 1 (oda = 18, determine the maximus
Allowable tesion in Be bol

Alone Bearing Srs vexing ta

CRC

Prosipiemmin Am

53. 1-38. The hangers support the joist uniformly so that it
i assumed the four nails on each hanger carry an equal
portion of the Toad. If he joist is subjected 10 the loading
own, determine the average shear stes in each mal of he
hoger at ends A and B Each ni asa diameter of 025 in
The hangers only support vertical loads.

GEM =O Mn Sans) RO, = 30

E Fon

Formador

a” Xp
“pie Si Am

Forme,
da a

A” paz?
= Né pi LE Am

54. 1-89. The hangers suppor the joists uniformly so that it
is assumed the four mals on each hanger cary an equal
portion ofthe load, Determine the smallest diameter of the

fa A and at B ifthe allowable shear stes fr the nails

Tks The hangers only support vertical loads

sca) gro
nassen

GEM = 0 DR EE

412 <0, 420-50 -50=0, A = 3008

te E Ky» DO
ey und
dose Am

CA 50
eme Es 4009 =

x and
401m Am

1-90. The alaminum bracket A I used to suppor the
ica applied lad of kp. Hit has a constant thickness

Sto i, determine the smallest height An order to prove

hear allure The fare shear ses ug = 2345, Use a
factor of ae or shear of FS. = 25

mn uen
ATI RO V-8=0 Vv =B0OKip Vas
ise st ent om vs

PER BE TOR)
“TESTA OS

55. 1, Dein sets dss of te ir
ringen
Pa ON al ved ar ea
Ad Retr ater de Mba ne = DON
Partis

Allowable Normal Sr à Dig nd cer nce

Dates ONE

dome éme au

At able Bering trs à Dai oie ah nee

B so)
(af 0) EC)
4 omsestéens Am

Allowable Shar Sen: Da cent es

CRT CET

1192. Te hanger assembly is used to support a
{isrbuted loading of w = 08 ip. Determine he average
shear stress inthe 0.40.n-diameterboltat A nd the average
tensile stress in rod AB, which has a diameter of 03 in If
the veld shear stress forthe bolis y= 25 ki and the eld
lense stress for the rod isa, = 38 Ki determine Ihe faces
‘of safety with respect to yielding in each can

56. Determine the intensity w of the maximum
distributed toad that can be supported by the hanger
Assembly o that an allowable shear stress of tama = 13 Set
is not exceeded in the 040-in-diameter bolle at A and D.
and an lfowable tensile stress Of yy = 22 kl i nok
‘exceeded in the 0.Ssin-diameter rod AB:

sume acon eB

os)

= 04524 (mh) Ane

w= ose

jc othe pl 018
Teale tn cl e ae oral ses or
Bender 12 MPs and he alae ete
SSIES IRI das teed as b
Su penne esas hae tes ane
“The specimen Ds a wd 028 mm.

PORC
broma am

57. 1-95, The compound wooden beam is connected together
bya bolt at B, Assuming thatthe connections st A, 8, € and
D exert only vertical forces on the beam, determine the
required diameter of the bolt at B and the required outer
diameter ofits washers if the allowable tensile sten forthe
bolts (al = 150 MPa and the allowable bearing stress
for the wood is (09). = 28 MPa. Assume thatthe hole in
‘the washers has the same diameter asthe bol

From FD.
CECECEETTE 1509) +209 =
MR -6R es
From FD
GEM 0 69 Re = 30 20

ESO
Suv as (D a yee

Bean fe = ass

Fea
oie = 28010) = HU)

FE = 00060

<= 00e = sim Ama

RE 20
o

ban

58. "1-06.

{fhe allowable bearing stress for the material under
the support at A and Bis (eine = 400 ps, determine the
maximum toad P that can be applied to the beam, The
bearing plates A" and B have square cross sections of
Zim. % 2 in. and d'in. X 4 in, respectively

Quiso nanrons-nanee

Gers sm9-m9-

Atom ae Rearing tre Aa ae
Dors

Immo m

¡9.0
eos m

patos on

Fatal

ers

sn em et

(a

Dee

à LOC
couter Prime Au
1.

A the allowable bearing stress for the material

under the supports at A and Bis (jure = 800 pa, deter

mine th

Support the load. Dimension the pl

Size of square bearing plates A” and B required to
510 the nearest Lin

The reactions at the supports are vertical, Take P = 1800 lo

Guia Kasson 150225) [0

he eth

Te Reste eses tp

Alt abt Bearing Srs; Duo at

or pla a

cree

La wn
EN cate

more

59. 1-96. The tapbelt assembly is tobe subjected to a free of
SOON. Determie (a) the required tikes of the belt
the allowable tense tess for the métal à
(Oda. = 10MPa, (0) the require lap lega df the glue
«Sa sii an alowable sear ses of (m), = 075 MPa,
ad (9) the required diameter dof the pi the allowable
‘hear atest forthe pia (run) = 30 MPa.

Allow abe Normal Ser: Dg then.

a

Attal Shear Sn Din pened

CCE"

Aroomsmetidmn An

Attente Shear Sanur Dig fps

x)
Aromummauizen Am

4008

1-99. The ini sueced to double shear since itis wed
o Connect the thee ns together. Due to wear, the loud is
rated over the top and Bottom ofthe pa as sbown on
the fee body dagram Determine the diameter d'a tbe pia
if be allowable shear ses rye = 10 and the load
PS stip. Also, determine the [ot intenses, and

uations of Eli

ows
eee tontos
Wie am
no
sizes pu)
mere am

Aliowabe Show Sire + Dig

Dons

60. 1-100, The thrust bearing consists of a circular collar A

fixed tothe shaft B, Determine the maximum axial force P

st canbe applied 6 he shaft so that it does not cause the

Shear ess along a cyindrical surface a or b to exceed an
(70 MPa,

1-101, The spring mechanism wed as a shock absorber
ed tothe drawbar AB. Determine the force
ln exc spring when the SDAN force
ls originaly unterched andthe
Soa guide pose CO and EF. The eds of al springs are
Mashed to their respective members. Also, whats tbe
Feld ameter ofthe tank of bola CG and EF the
gwable ses forthe bol is Cage = 150 MPa

u zumal au

a

so pt a

e reso Am
ua

coh ne

61. 1-102. The beam AB is pin supported at A and supported
by a cable BC. A separate cable CG is used to hold up the
fame. [CAB weighs 12010/Iandthc column FC hs a weight
of 180 It, determine the resultant internal loadings acting
‘on cross sections located at points D and E. Neglect the
‘thickness of oth the beam and column in the calculation.

Segment 0:
SER 20 Mai

IL ze

een?

caer

ad,

%

cero ie

HERE WeON-0N=O 4.0 Am

GEM: Mond Mere Am

Segment FE

EER AG #00 rose am

HER-O Me07-S00 Mes Am

Grm -meos

ET

62. 1-108 The asenbly ie wed to support the dista
loating of w = SO. Detemiz the factor of sey th
respeto yelling forthe sel ro BC an the pis at and
Cif te yl ses for the ste a ein ea, = 36 and
insbearn, = 8 The od has à dater ofa ln. abd te
pias each bave a dameter of 030i.

Gus Joao he «rep

Fur Ste,
‘oe

Po Cajal de seem fy =e
“A woe
AA

a om

“1-104 be allowable sr stes fr each of he O4
lamer sel plas a A.B, 04 Cru = 125 oi ad he
‘owable normal ses forthe A amet rod BC'S
ne = 22k determine the large its el e aitor
isos load Bat can be supported by the beam.

estores
Support Resctions ; qe.
Gin Inmo ena Arf
5 F verres
Bee lomo Kaum“ rec
crue Alamo Amar Dons

At able Normal Sets: a ae stat BC

Aone tee lpia Pe A wait et ds

ee

Aone Sm pts gu
TC eter
23333 Therefor, mon:

Brenn

ret amant mot 20550 Ane

63. 1-105, The bar is supported by the pin Ifthe alowable
tent stress for he ba (7) = 21 Ks, andthe allowable
Shear stess for the pin 5 tary = 12KS, determino the

lamer ofthe pi for which he lod P wil be a maximum. a
‘Waar this maximum load? Assume the hoe in be bar as =
o same diameter da the pin Tae Pin and w = 2

o te
%

nen nm nr hand y dle |
cer

rte AG 0 ha

Aliowable Sheu Sres Te pais ac ee er

‘Solving {an il G Faw

esoo Am
Cr An

IDA Tec barones tobe suppor wing apa ENS
Sainte of d= tin If the allow tease ses forthe
bar D (oles = 20kch, and the allowable bearing ses bos
erucen the in and be Bar (Jano 30, determine ;
tbe dimensions w and auch that tbe gross area ofthe Coss =
Min 8 m Din and the loud Pie a maximum. What =

‘Ss maximus lod? Asse be Bole fa he ar has the same

meter a the pia

table Norma Sen; oe ect cen a
e mantener bay Sogn oe Se
cbr tu ole Hee

oP NP
El

Ba
u

Atom ab Baia Sent: Tape
pS e
em

Cats 200)

Sei ee

THOT, A foren of RN applied at the center oe wooden
pos He post placed atthe corner oft base plate Ba
the bearing ses that the base plat exert on te lab Ste
assumed uniformly dsributed? Why or why not Wat the
Average comprestve sre inthe wooden post?

Mo Teta = 18 ut a cei fe
‘prt uni being la

2.00
mo

64. 1-10. The columns made of concrete avig density of
230 Mn At top Bite sj an aalcompresive

{oreeof SRN Determine the compren stress tecla
function ofthe distance measured omits base

uation of Egan

ven [pean fx) eno}
hen an pme.

M. Bars 269 an
4 ox
a Am

1-108, The coral made ol conte ung a deu ot
230 Mgr Atistop BR beste o an acl compressive
fomeot Ski Determine thecompressvestessia tbe colina
mimada

Ernten of Envia

veros]

A OS
soe

Tom

and shaft Ifthe suspended load has a mass of 30 ka,
4 e
en.
2
amos rome
zug

u ng ON Am

65. 1-111, The creta punch Bene fore 012 AN on tbe
top ofthe plete A Determine the average shar stress inthe
plate due fo this loading

‘Average Sha Sirs Ts a À 2 (0000002 «LOO =

200)
OS

1-112. The two aluminum rods support the vertical force
of P= 20KN. Determine their required diameters if the
flowable tensile tres forthe aluminum is sn = 150 MPa

TER = Fond 2020, y= MN

Ehen miter ree fe #008
mois

TR un E
uses m

tent

Once 2 sot e

der Goom One Am

66. 1-43, The cable has a specie weighty (weghovolume)

And crosssectioal ates At the sg 2 small so tha a A ,
length is approximately Land is weight canbe dstibuted

normaly along the horizoatal a. determine the average | fi
Bormal stress in th cable a ts lowest point ©

dls. Member B is sabjeced to a compresive fore of
(2088 A and B are both mate of wood xr la
termino to the nearest fia the salle dined

SETI Wate erage sea sen snp tan
fet tot exceed tae = 30 ar

guia o Ebi
asf

tte a su 5

a

Fe De
esa

on

Werne am Yes

AIS. Member B is sujeted toa compres force ol

(5016-114 and B are both mae o wood and ae | in ick, 7
and d= Sin, determine the average thea ses along

section €

ion
Vos e

67. 1-16. Tae 3.Mg concrete pipe i suspended bythe three
Sires. ILD and CD bave a diameter of 10 mm até AD bas
A lameter 017 mm determine the average normal stes in
och vire

aaa of Eglin

EM 20 Fanner) ton 20

By 20 artisanale