chapter 3 trusses - موقع المهندس حماده شعبان 3 final2 (2).pdfb + r > 2 j...

July 2011

SMS

Physics I/II, Circuits, English 123/221, Numerical, AutoCAD, Strength, Statics :

C++, Java, MATLAB, Data Structures, Algorithms, Discrete Math, Digital Logic, Concepts :

Mechanical Design I/II, Structural Analysis I/II, Concrete I/II, Soil, Dynamics, System Dynamics :

neths.-eng, comhs.-eng @hs.com-enginfo 9 4444 260 .

Chapter 3

Trusses

.

http://www.eng-hs.net/http://eng-hs.net/http://eng-hs.net/

July 2011

SMS





Trusses

(members) *

(joints) (forces) (joints)

(member) (tension) (compression).

(compression) (tension) *

(members) (joint method) (member)

(section method)

*

.

(joint) (tension) (member) *

(compression) (joint).

.


July 2011

SMS





Analysis of Trusses

considering:

b = number of members.

r = number of reactions.

j = number of joints.

:tabilityS

:tructure will be unstable in the following casesS

1) b + r < 2 j

2) b + r 2 j (but all reactions are parallel)

3) b + r 2 j (but all reactions are concurrent)

: of stability) providedeterminacy (D

b + r = 2 j statically determinate

b + r > 2 j statically indeterminate

degree of indeterminacy = b + r 2 j

( )


July 2011

SMS





members (zero) truss *

(. )

(only 2 members) (joint) *

(.A, D) ((zero member

(only 3 members) (joint) *

(. C, D) ((zero member ((member

zero members


July 2011

SMS





.((members

.((support reactions 1

(. )

(only 2 members) (joint) 2

. 3

(joints) 3 ,2 4

2 - members)) .

.((members ( 4) 5

(tension) ((member 6

(compression) .

. 7

joint method

.


July 2011

SMS





((members

. ( truss)

.((support reactions 1

( )

2

members) .)

( ) 3

4

.

((members - 2 5

.

((members 6

.

( section method) ( joint method) 7

. ((members

ethodmection s

, ,


July 2011

SMS





a)

statically indeterminate to the 4th degree

b)

statically determinate.

c)

statically indeterminate to the first degree

d)

the left panel is a collapsible component

(6)

parallel are reactions all satisfied

d

be not can F

< r b

j

r

b

r b

j

r

b

r b

j

r

b

r b

j

r

b

x 0

11

6

2

9

9 2 19

9

4

15

8 2 16

8

3

13

10 2 24

10

4

20

unstable

3-2 classify each of the following trusses as statically determinate, statically indeterminate, or unstable.


July 2011

SMS





a)

stable, statically determinate.

b)

stable, statically indeterminate to 1.

c)


d)

(r + b) 2 j = 1


6

10

3

12)(

6

9

4

12)(

6

9

4

2)(

8

13

3

j

b

r

jbr

j

b

r

jbr

j

b

r

jbr

j

b

r

3-3 classify each of the following trusses as statically determinate, statically

indeterminate, or unstable. If indeterminate, state its degree.


July 2011

SMS





Gy

Gx FGF = 20 kN

FAG = 15 kN Ax

FAB = 10 kN

20 kN

18 kN

7.5kN

FEF

FBC = FCD

15 kN

FCD

FED = 8.33 kN

5 kN

FCD = 6.67 kN

5 kN

10 kN 6.67 kN

FBF

G

A C

F

B

D

FBE = 4.17 kN

FAf = 18 kN 15 kN FAF = 18 kN

;

members *

( C) ( T)

.

. ( , ) *

joint F:

3-8 Determine the force in each member of the roof truss. State if the members

are in tension or compression. Assume all members are pin connected.

56.3o

56.3o


July 2011

SMS





FAH

FAB

15

A

(From symmetry)

joint A:

joint B:

joint H:

3-9 Determine the force in each member of the roof truss. State if the members are in tension or compression. Assume all members are pin connected.

FBH

B FAB

10 kN

.

FBC


July 2011

SMS





from and:

joint G:

3.9

16.67 kN 16.67 kN

FGC

G

!!


July 2011

SMS





(From symmetry)

(FCG) is a zero-force member

(

+

E) FGF (

3-10 The Howe truss is subjected to the loading shown. Determine the force in members GF, CD, and GC, and state if the members are in tension or

compression.

5 kN

2 kN

9.5 kN

D

F

FGF

FDG

FCD

3 m

2 m 2 m

G

:

M )

.(


July 2011

SMS





(From symmetry)

.

3-11 The Howe truss is subjected to the loading shown. Determine the force in

members GH, BC, and BG, of the truss and state if the members are in tension or

compression. (Fig. 3-11)

B

9.5 kN

H

G

FBC

FGH

FBG

5 kN

2 m 2 m

3 m 2 kN

36.87o

56.31o


July 2011

SMS





.

Solution:

(From symmetry)

3-14 Determine the force in members IH, BC, and BH of the bridge truss. Solve

for each unknown using a single equation of equilibrium. State if the membrs are in tension or compression. Assume all members are pin connected.

5 kN 3 kN

O

H FIH

FBC

FBH

2 m

4 m

4 m

B

I

63.43o

26.56o

A

2 m

Ey

Ay


July 2011

SMS





.

.

(reactions )

3-17 Determine the force in members GF, FC, and CD of the cantilever truss. State if the membrs are in tension or compression. Assume all members are pin

connected.


July 2011

SMS





Intire truss:

;

.

3-18 Determine the forces in members KJ, CD, and CJ of the truss. state if the

members are in tension or compression. (Fig. 3-18).

5 kN 15 kN 15 kN

3 m

FKJ

FCJ

FCD

Ay

A

C

33.69o

18.43o

J

3 m 3 m

3 m


July 2011

SMS





moment 2) members )

joint D:

(G FDE )

3-19 Determine the forces in members JI, JD, and DE of the truss. state if the

members are in tension or compression.

FDJ

97.5 kN 97.5 kN

D

J H G

FJI

5 10 20

49.17

43.18FDE

E

J


July 2011

SMS





from symmetry

joint A:

joint D:

3-20 Determine the forces in each member of the truss in terms of the load P and

state if the members are in tension or compression.

FDB

P

0.687 P 0.687 P

P/2

FAB

FAD

A

D

!!


July 2011

SMS





For maximum loads, choose the minimum, Pmax = 4.25 kN

From symmetry

Ay = Cy = 0.5 P

joint A:

joint B:

FAD cos FAB cos 45 = 0

FAD cos 14 = FAB cos 45

FAD = 0.729 FAB

FAD sin + .5 P FAB sin 45 = 0

(0.729 FAB * sin 14) + 0.5 P - FAB sin 45 = 0

FAB = 0.942 P ( C )

FAD = 0.687 P ( T )

- FBD + 2 FAB sin 45 = 0

FBD = 1.33 P ( T )

FAB = 0.942 P = 4 kN, Pmax = 4.25 kN

FBD = 1.33 P = 10 kN, Pmax = 7.52 kN

3-22 Members AB and BC can each support a maximum compressive force of 4 kN, and members AD, DC, and BD can support a maximum tensile force of 10

kN. If a = 1.8m determine the greatest load P the truss can support.

.

Ay = 0.5 P

FAD

FAB

FBC

FBD

FAB

B

= 14


July 2011

SMS





from symmetry

Due To Symmetry

.

3-24 Determine the forces in members GF, FB, and BC, of the fink truss and

state if the members are in tension or compression.

FBC

FGF

FFB

4 kN

30o 60

o

B

3 cos2 30

o

4.5 tan 30

o


July 2011

SMS





.

3-25 Determine the force in members GF, CF, and CD, of the roof truss and

indicate if the members are in tension or compression.

FGF

Ey

FCD

FCF

1 m 1 m

F

1.5 m

C

E


July 2011

SMS





This is a compound truss

Where ACB and FED are connected by

Three bars FA, EC, and DB.

Since

b + r = 2 j

9 + 3 = 2(6) = 12

Statically determinate

Truss is internally unstable.

.

3-26 Classify the truss and determine if it is stable.


July 2011

SMS





From symmetry:

joint A:

joint B:

joint F:

6 kN

A FAB

FAF

8 kN

FBE

FBF

8 kN

B

3-30 Specify the type of compound truss and determine the force in each member.

State if the members are in tension or compression. Assume all members are pin connected.

.

2 kN

2 kN 10 kN

F FEF

FCF


July 2011

SMS





3-31 Determine the forces in members IH , AH, and BC, of truss. State if the

members are in tension or compression.

5 m 5 m

FIH

FAH

FBC

10 kN 14 kN

5 m

B

J I

A

26.56o


July 2011

SMS





Supports Reaction:

Method of joints: By inspection,

members BN, NC, DO, OC, HJ, JE, and LG are zero Force members.

. . . .

3-39 Determine the force in members EF, EB, and LK, of the Baltimore bridge truss and state if the members are in tension or compression. Also, indicate all

zero-force members. (Fig.3-39).

FIK

FEP

FEF

Iy 2 kN 3 kN

K

P

F

4 m 2m

4 m


July 2011

SMS





(

BCF

BGF

BA

kN9 kN6

HGF

G

X X X m3 m3

X

X

m3

m5.1

m3X X

X

X

m5.1

(

6.26

3

5.1tan 1

5.4

33.56

3

5.4tan 1

3-41 Determine the force in members BG, HG, and BC, of the truss and state if the members are in tension or compression. Also, indicate all zero-force

members.

.

chapter 3 trusses - موقع المهندس حماده شعبان 3 final2 (2).pdfb + r > 2 j...

Documents

An article from · PDF file EuropeanJournalofHumourResearch5(3) Open-accessjournal| 28 1.2.3. Vagueness,indeterminacy Vagueness,indeterminacy

枠組足場・支保工組足場・支保工.pdfB-9012 B-7612 B-6190 B-4161 梯子型建枠A-40L 梯子型建枠 A-4025L 鳥居型建枠 A-4055B 鳥居型建枠 A-405 5 3 調節枠

BAB III METODE PENELITIAN A. Variabel dan 3.pdfB. Populasi, Sampel dan Teknik Sampling Populasi digunakan untuk menyebut suluruh elemen/anggota dari suatu wilayah yang menjadi sasaran

Presint 14 Kawasan kerja - GDC P1.pdfb. details of traffic control zone area can be refer .to 'arahan jalan'. ... teknik jalan'. ... no.2 jalan tun abdul razak,

PDFB - Biblioteca Științifică Medicală · PDF fileFrecventa bolii este de 70% la adulti 20 - 30% la copiii cu hipercor- ticism de etiologie endogenä. In cca 80% de cazuri sunt

Gogol Indeterminacy

PEMBUATAN TEMPE SEBAGAI SUMBER BELAJAR lib.unnes.ac.id/11152/1/9039.pdfB. Pembahasan..... 33 ... Hasil analisis validitas butir soal uji coba pilihan ganda dan

ْںڳڰڥه ،ڰڦڑ ،ګوںڥوڑ ،ڸٵوڮٹ٭ؤڕ٭ ، وځ٭ ڧوکهhiq.bou.ac.ir/article_5178_ccb09640b8ba · PDF fileڷٮږ؝ٽ للههْ؝ڪڎڭ ٯه »وڳ٪؝ڮڹػٮً

cover daftar isi bab1 bab2 bab - Welcome to Digilib 5.pdfb. Tanya jawab. Jenis ini dipergunakan untuk mempertajam terhadap pemahaman mereka tentang masalah yang disampaikan penceramah,

هیرتکاورطخ ِنامرد ي تخاىش یلمع یامىهارdl.ponel.ir/book/ ي ی بٽ ٤ثاي ث ،يوب و یډ ا نبش يى ٽ یيث راىب٭ فلا ا یا

Chapter 2 Analysis of · PDF fileStability: Structure will be ... Degree of indeterminacy = r - 3 n ، همممت نممميأ عممملعت عمممل ... The frame has no closed

ߍ务נ包ܕ融૖动态 - 务נ包ܕ融动态 ܜպޠ期：2016 ٽ 1 18 ޠ 务נ包ܕ融｜ ੮业究ܜպ ｜ ੮业动态目录 1 投融资策动态 1.1 肖钢ભ解 2016 ٽ

PDFB-2 BS-KI 230 125 6.5 ps:152 ßH:169 87 65 65 ßs-020 ßH-012 BS-K2030 BH-K1230 ßH-020 BH-K2030 200 220 3.8 125 180 25 30 180 6.5 (10) 280 200 100 3.8 3 (*SË3m) .6 ("Ë6m) 3 (1.25mm2>

Leerstelle, Unschärfe und Medium The Indeterminacy of the ... · PDF file Between 1927 and 1936 the Polish philosopher Roman Ingarden formulated the concept of spots of indeterminacy

Forum 27 pag 3-31 para PDFb · PDF file minería de plata y otros productos a Nicaragua y a Panamá, y dio paso a la apertura de fronteras, al desarrollo de la infraestructura económica

2 · PDF file 2018. 1. 28. · اٍ ىًته ڄتٕډ ي ٸتٚ٭ ٓځيوُ ٍٽ يىٽٓډ ًَٔٞس بډ ْاَث اٍ ٓشٕٞوٙ ي ٓځيتوُ ڇبمس ټِٙد ،ٌيپَى

Indeterminacy Selección de Escritos

YOGYAKARTA · PDF file 2016-08-05 · Huruf Arab Nama Huruf Latin Keterangan ا Alif Tidak dilambangkan Tidak dilambangkan ة ba‟ b be ث ta‟ t te ٽ ṡa‟ ṡ es (dengan titik

Persistent Deficit, Growth and Indeterminacy · PDF file Persistent Deficit, Growth and Indeterminacy Alexandru Minea § & Patrick Villieu ϒ September 2009 Abstract: In this paper,

Syntactic Phrases, Syntactic Compounds, or Lexical ... · PDF file4 morphology: the indeterminacy of a VO form’s status as a compound or as a verb phrase. This thesis will look through

َُ < :جلا×َ[ؤلاءلا،لاشلاگلاxغ‏ؤآآآآغ‏ؤ@غ‏ؤغ ... 3 ر ب ٶ چٵ يم٭ نب ڄثبٺډ ى ٽ ز ا نآ ا شمٽ ه ا ي ڈ بث ش اى كي

L’Hopital’s Rule (62) Note that the quotient is still indeterminate at x = π/2. We removed this indeterminacy by cancelling the factor − cos x

875 Jahre Chemnitz85.239.114.245/.../amtsblatt/download/2017/171229_abl52.pdfb ert -Sc h uma nP il o d Z hörer mit auf eine orchestrale Reise nimmt, werden Verdis »Va Pensiero«

ACE Engineering Publications · PDF file 2018. 10. 3. · Chapter‐ 1 Introduction to Structures & Static Indeterminacy Structural Analysis Solutions for Volume : I Classroom Practice

第二章数学与评价 - Rice University -- Web mobile/publications/masterthesis/chapter2.pdfb _]cd `^>a$ e fghjk*+i$ YlmA9no _ `p>Iqna %&i 2.1 统计假设检验 rs Neyman-Pearson^l(

Sistema Embebido De 16 Bits Para El Control De Un amca.mx/memorias/amca2012/paginas/Papers/0050[1].pdfB) Software de control La tarea de control se asocio a la implementación de algoritmo

Short Investment Horizons, Higher Order Beliefs, and Difficulty of Backward Induction: Price Bubbles and Indeterminacy in Financial Markets Shinichi Hirota,

ةحابϠا ةύϤاج - Al-Mustansiriya University ... 5 )0(ډ تح نڌ ڌحٳطپج ڀڍڋٳڂ ٽ ٳپج ج ڊ هٿڂ ڑ ڌحٳطپج ڀڍڋٳڃٿپ ڑٷړٷكپج ٱڒ ٫طپجڌ

ER nikita/sv97.pdfb oth sides and iden tify it with a measure on the 2-torus; in same w y, Leb esgue measure on the 2-torus can b e considered as a t w o-sided v ersion of Mark o v

f y - 宁波市教育考试院nbeea.nbedu.gov.cn/ckfile/files/3323.pdfb bbåg 0 [ lâ^ 2016^tR N-kÕN u [fN Õ Õ ãg 0 NNfv WO\gC0 v ^ u SïNåNÎ[ lâ ^ eY ² Õ b QzÙÿ

狿ࠀ㈀げٽ䲐也賿ऀ屲「では終了してください。ファシリテーターの · PDF file PEACE Palliative care Emphasis program on symptom management and Assessment

LAPORAN PPL PENELITIAN PEMBAHARUAN DATA Yosi Putri 11110244019.pdfb. memiliki komitmen untuk meningkatkan mutu pendidikan, ... membuat guru. honorer harus mau ... sehat jasmani dan

IO Ba - e-monsiteelotor.e- · PDF file x C.Vmax i ڑتحڋڇپج ڀىٷطپج سرٓچ ڌ ڑڊ f i x C.V W . ٽ٪حٳطپج سپوح٫ڂ AH + H 2 O A– + H 3 O+ س٪ڍڃؿڃپج سپحق

PDFB - concurs medic chirurgie... · PDF file-l post medic specialist c irurgie vasculara-Sectia Clinica Chirur ie Generala -Compartiment chirurgie vasculara Dosarul de concurs trebuié