ANJUMAN -I-ISLAM'S
M. H. SABOO SIDDIK COLLEGE OF ENGINEERING
DEPARTMENT OF CIVIL ENGINEERING
UNIVERSITY OF MUMBAI
From This Document You Will Learn:
1. How to solve Howe, Fink and Pratt truss graphically (description is also
included for learning graphical method i. e. Maxwell’s Diagram) and how to
tabulate the results to get critical design loads.
2. How to solve Howe truss analytically by Methods of Section and Joints and
how to tabulate the results to get critical design loads.
3. How to verify results using STAAD program in case of Howe truss for dead
loads.
4. Guide line for detailing of truss.
Note: These documents contain guideline for solving truss graphically and analytically. More
emphasize is given on understanding the methods, might be few titles or naming may be missing
that must be included in your final presentation. The documents are just for understanding the
methods. In case of Howe and Pratt truss there is contradiction in authors in case of arrangements
of members some people call Howe as Pratt and vice versa.
Course Code: CEC602 DESIGN & DRAWING OF STEEL STRUCTURE
YEAR: 2020
TITLE OF DOCUMENT: GUIDELINE FOR DESIGN AND DETAILING OF TRUSS
FACULTY:
Prof. Dr G.S Kame, Professor, Department of Civil Engineering,
Website: www.gskame.webs.com
Disclaimer:
Dear students and faculties in Civil Engineering, the 2019–20 corona virus pandemic has affected
educational systems in our country, leading to the widespread shut down of colleges and
universities. Courses curriculums are not completed in engineering colleges. Students even could
not complete their course practical or tutorials and term work at the same time term work
submission is pending. In the university of Mumbai I used to teach subject Design & Drawing of
Steel Structure in Semester VI from past four years, as a part of work from home and
contribution to teaching fraternity this is my sincere effort to disclose my teaching course
material of above subject to all the students and faculties for learning and completing the term
work of the subject Design & Drawing of Steel Structure. For more material of different courses
you can also visit my website.
Dr. Ganesh S Kame, PhD@IITB
Professor, Civil Engineering and
I/c Principal, M H Saboo Siddik CoE, Byculla
1.How to solve Howe, Fink and Pratt truss
graphically (description is also included for
learning graphical method i. e. Maxwell’s
Diagram) and how to tabulate the results to
get critical design loads.
Graphical Method (Maxwell’s Diagram)
The graphical analysis was developed by force polygons drawn to scale for
each joint, and then the forces in each member were measured from one
of these force polygons.
In order to draw the Maxwell diagram directly, here are the simple
guidelines:
•Solve the reactions at the supports by solving the equations of
equilibrium for the entire truss,
•Move clockwise around the outside of the truss; draw the force polygon
to scale for the entire truss,
•Take each joint in turn (one-by-one), then draw a force polygon by
treating successively joints acted upon by only two unknown forces,
•Measure the magnitude of the force in each member from the diagram,
•Lastly, note that work proceed from one end of the truss to another, as
this use for checking of balance and connect to other end.
STEP 1: DRAW TRUSS DIAGRAM STEP 2: DRAW FREE BODY DIAGRAM STEP 3: USE BOWS NOTATIONS
STEP 4: DRAW FORCE POLYGON
SOLVE THE TRUSS GRAPHICALLY (MAXWELL DIAGRAM) MEASURE THE LENGTH OF LINES WHICH WILL REPRESENT THE FORCE IN MAGNITUDE
AND DIRECTION. FIND OUT EACH FOR DL, LL AND WL AND TABULATE THOSE TO GET DESIGN FORCE IN BOTH COMP. & TENSION.
IN THE PAGES AHEAD DRAWING IS DONE WITH AUTOCAD TO GET EXTREME ACCURACY , LENGTH IS MEASURED AND TABULATED IN TABLES.
GOOD LUCK, Dr G S KAME
Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame
Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame
SUBJECT BATCH : C1 2019
TYPE OF TRUSS SPAN:16M RISE:3M
MEMBER LENGTH MEMBER LENGTH X=4.6 Y=4.9 Z=-7.2
DESIGNATION L1, CM DESIGNATION L2, CM DEAD LOAD(KN) LIVE LOAD(KN) WIND LOAD(KN)
TRUSS DIA. ACAD TRUSS DIA. ACAD X x 9.946 = 45.75 Y X 9.946 =48.73 Z x 9.338 = -67.23
LoU1(BL) 9.946 LoU1 9.338 45.7516 48.7354 -67.2336
U1U2(CM) 9.948 U1U2 9.713 45.7608 48.7452 -69.9336
U2U3(DP) 8.534 U2U3 8.567 39.2564 41.8166 -61.6824
U3U4(EQ) 7.111 U3U4 7.421 32.7106 34.8439 -53.4312
U1L1(LM) 1 U1L1 1.068 4.6 4.9 -7.6896
U2L2(NO) 1.5 U2L2 1.602 6.9 7.35 -11.5344
U3L3(PQ) 2 U3L3 2.136 9.2 9.8 -15.3792
U2L1(MN) 1.6 U2L1 1.78 7.36 7.84 -12.816
U3L2(DP) 1.98 U3L2 2.142 9.108 9.702 -15.4224
U4L3(QR) 2.4 U4L3 2.562 11.04 11.76 -18.4464
LOL1(KL) 9.3 LOL1 8.568 42.78 45.57 -61.6896
L1L2(KN) 8 L1L2 7.144 36.8 39.2 -51.4368
L2L3(KP) 6.65 L2L3 5.72 30.59 32.585 -41.184
L3L4(KR) 5.326 L3L4 4.27 24.4996 26.0974 -30.744
ANJUMAN -I-ISLAM'S
Prof. Dr G.S Kame
Professor, Department of Civil Engineering
M.H.SABOO SIDDIK COLLEGE OF ENGINEERING
8,SABOO SIDDIK POLYTECHNIC ROAD,MUMBAI-8
DEPARTMENT OF CIVIL ENGINEERING
FULL PANEL POINT LOAD X,Y & Z (KN)
DESIGN & DRAWING OF STEEL STRUCTURE
HOWE TRUSS
M H Saboo Siddik COE, Byculla
TABLE NO: 1 CALCULATION OF MEMBER FORCES USING GRAPHICAL METHOD
FOR DEAD & LIVE LOADS WIND LOAD
SUBJECT BATCH : C1 2019
TYPE OF TRUSS SPAN:16M RISE:3M
MEMBER DEAD LOAD LIVE LOAD MEMBER WIND LOAD DESIGN MEMBER
DESIGNATION DL(KN) LL(KN) DESIGNATION WL(KN) 1.5(DL+LL) 1.2(DL+LL+WL) 1.5(DL+WL) FORCE(KN) NAME
LoU1(BL) 45.7516 48.7354 LoU1 -67.2336 141.73 32.70 -32.22
U1U2(CM) 45.7608 48.7452 U1U2 -69.9336 141.76 29.49 -36.26
U2U3(DP) 39.2564 41.8166 U2U3 -61.6824 121.61 23.27 -33.64
U3U4(EQ) 32.7106 34.8439 U3U4 -53.4312 101.33 16.95 -31.08
U1L1(LM) 4.6 4.9 U1L1 -7.6896 14.25 2.172 -4.63 28.5
U2L2(NO) 6.9 7.35 U2L2 -11.5344 21.375 3.259 -6.95
U3L3(PQ) 9.2 9.8 U3L3 -15.3792 28.5 4.345 -9.27
U2L1(MN) 7.36 7.84 U2L1 -12.816 22.8 2.861 -8.18 34.2
U3L2(DP) 9.108 9.702 U3L2 -15.4224 28.215 4.065 -9.47
U4L3(QR) 11.04 11.76 U4L3 -18.4464 34.2 5.224 -11.11
LOL1(KL) 42.78 45.57 LOL1 -61.6896 132.525 31.99 -28.36 132.525
L1L2(KN) 36.8 39.2 L1L2 -51.4368 114 29.48 -21.96
L2L3(KP) 30.59 32.585 L2L3 -41.184 94.7625 26.39 -15.89
L3L4(KR) 24.4996 26.0974 L3L4 -30.744 75.8955 23.82 -9.37
Professor, Department of Civil Engineering
M H Saboo Siddik COE, Byculla
MAXIMUM FACTORED(KN)
ANJUMAN -I-ISLAM'S
M.H.SABOO SIDDIK COLLEGE OF ENGINEERING
8,SABOO SIDDIK POLYTECHNIC ROAD,MUMBAI-8
DEPARTMENT OF CIVIL ENGINEERING
TABLE 2 CRITICAL LOAD COMBINATION & DESIGN LOADS
DESIGN & DRAWING OF STEEL STRUCTURE
HOWE TRUSS
-9.27
TOP CHORD MEMBER
STRUT/VERTICAL
SLING/INCLINED
-11.11
141.76
-36.26
-28.36
BOTTOM CHORD
MEMBER
Prof. Dr G.S Kame
Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame
Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame
Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame
Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame
Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame
Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame
2.How to solve Howe truss analytically by
Methods of Section and Joints and how to
tabulate the results to get critical design
loads.
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3.How to verify results using STAAD program
in case of Howe truss for dead loads.
STAAD PROGRAM TO SOLVE HOWE TRUSS FOR DEAD LOAD
Dr G S KAME
STAAD TRUSS
START JOB INFORMATION
ENGINEER DATE 29-Jan-16
JOB NAME C1 HOWE TRUSS
JOB COMMENT M H SABOO SIDDIK COLLEGE OF ENGINEERING
APPROVED NAME Dr KAME
END JOB INFORMATION
INPUT WIDTH 79
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 2 1 0; 3 2 0 0; 4 4.00001 0 0; 5 4.00001 2 0; 6 6.00001 0 0;
7 6.00001 3.00001 0; 8 8.00002 0 0; 9 8.00002 4.00001 0; 10 10 0 0;
11 10 3.00001 0; 12 12 0 0; 13 12 2 0; 14 14 0 0; 15 14 1 0; 16 16 0 0;
MEMBER INCIDENCES
1 1 2; 2 1 3; 3 2 3; 4 2 5; 5 3 4; 6 5 3; 7 5 4; 8 4 6; 9 7 4; 10 5 7; 11 7 6;
12 6 8; 13 9 6; 14 7 9; 15 8 9; 16 10 8; 17 9 10; 18 11 9; 19 11 10; 20 12 10;
21 11 12; 22 13 11; 23 13 12; 24 14 12; 25 13 14; 26 15 13; 27 15 14; 28 16 14;
29 16 15;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 1.99947e+008
POISSON 0.3
DENSITY 76.8191
ALPHA 6.5e-006
DAMP 0.03
END DEFINE MATERIAL
MEMBER PROPERTY INDIAN
1 TO 29 TABLE ST ISA100X100X8
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 16 PINNED
LOAD 1 LOADTYPE Dead TITLE UNIT LOAD METHOD DL/LL
JOINT LOAD
1 16 FY -0.5
2 5 7 9 11 13 15 FY -1
PERFORM ANALYSIS
FINISH
4.Guide line for detailing of truss.
ANJUMAN -I-ISLAM'S
M.H.SABOO SIDDIK COLLEGE OF ENGINEERING
8,SABOO SIDDIK POLYTECHNIC ROAD,MUMBAI-8
DEPARTMENT OF CIVIL ENGINEERING
SUBJECT: DESIGN & DRAWING OF STEEL STRUCTURE
YEAR: 2019
TITLE: GUIDE LINE FOR DETAILING OF TRUSS
FACULTY:
Prof. Dr G.S Kame,
Professor, Department of Civil Engineering,
M H Saboo Siddik COE, Byculla,
University of Mumbai
Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame
Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame
Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame
Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame
Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame
Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame
Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame
Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame
Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame

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Guideline for solving truss graphically and analytically ddss mu vi sem_vi dr g s kame

  • 1. ANJUMAN -I-ISLAM'S M. H. SABOO SIDDIK COLLEGE OF ENGINEERING DEPARTMENT OF CIVIL ENGINEERING UNIVERSITY OF MUMBAI From This Document You Will Learn: 1. How to solve Howe, Fink and Pratt truss graphically (description is also included for learning graphical method i. e. Maxwell’s Diagram) and how to tabulate the results to get critical design loads. 2. How to solve Howe truss analytically by Methods of Section and Joints and how to tabulate the results to get critical design loads. 3. How to verify results using STAAD program in case of Howe truss for dead loads. 4. Guide line for detailing of truss. Note: These documents contain guideline for solving truss graphically and analytically. More emphasize is given on understanding the methods, might be few titles or naming may be missing that must be included in your final presentation. The documents are just for understanding the methods. In case of Howe and Pratt truss there is contradiction in authors in case of arrangements of members some people call Howe as Pratt and vice versa. Course Code: CEC602 DESIGN & DRAWING OF STEEL STRUCTURE YEAR: 2020 TITLE OF DOCUMENT: GUIDELINE FOR DESIGN AND DETAILING OF TRUSS FACULTY: Prof. Dr G.S Kame, Professor, Department of Civil Engineering, Website: www.gskame.webs.com Disclaimer: Dear students and faculties in Civil Engineering, the 2019–20 corona virus pandemic has affected educational systems in our country, leading to the widespread shut down of colleges and universities. Courses curriculums are not completed in engineering colleges. Students even could not complete their course practical or tutorials and term work at the same time term work submission is pending. In the university of Mumbai I used to teach subject Design & Drawing of Steel Structure in Semester VI from past four years, as a part of work from home and contribution to teaching fraternity this is my sincere effort to disclose my teaching course material of above subject to all the students and faculties for learning and completing the term work of the subject Design & Drawing of Steel Structure. For more material of different courses you can also visit my website. Dr. Ganesh S Kame, PhD@IITB Professor, Civil Engineering and I/c Principal, M H Saboo Siddik CoE, Byculla
  • 2. 1.How to solve Howe, Fink and Pratt truss graphically (description is also included for learning graphical method i. e. Maxwell’s Diagram) and how to tabulate the results to get critical design loads.
  • 3. Graphical Method (Maxwell’s Diagram) The graphical analysis was developed by force polygons drawn to scale for each joint, and then the forces in each member were measured from one of these force polygons. In order to draw the Maxwell diagram directly, here are the simple guidelines: •Solve the reactions at the supports by solving the equations of equilibrium for the entire truss, •Move clockwise around the outside of the truss; draw the force polygon to scale for the entire truss, •Take each joint in turn (one-by-one), then draw a force polygon by treating successively joints acted upon by only two unknown forces, •Measure the magnitude of the force in each member from the diagram, •Lastly, note that work proceed from one end of the truss to another, as this use for checking of balance and connect to other end. STEP 1: DRAW TRUSS DIAGRAM STEP 2: DRAW FREE BODY DIAGRAM STEP 3: USE BOWS NOTATIONS STEP 4: DRAW FORCE POLYGON SOLVE THE TRUSS GRAPHICALLY (MAXWELL DIAGRAM) MEASURE THE LENGTH OF LINES WHICH WILL REPRESENT THE FORCE IN MAGNITUDE AND DIRECTION. FIND OUT EACH FOR DL, LL AND WL AND TABULATE THOSE TO GET DESIGN FORCE IN BOTH COMP. & TENSION. IN THE PAGES AHEAD DRAWING IS DONE WITH AUTOCAD TO GET EXTREME ACCURACY , LENGTH IS MEASURED AND TABULATED IN TABLES. GOOD LUCK, Dr G S KAME
  • 6. SUBJECT BATCH : C1 2019 TYPE OF TRUSS SPAN:16M RISE:3M MEMBER LENGTH MEMBER LENGTH X=4.6 Y=4.9 Z=-7.2 DESIGNATION L1, CM DESIGNATION L2, CM DEAD LOAD(KN) LIVE LOAD(KN) WIND LOAD(KN) TRUSS DIA. ACAD TRUSS DIA. ACAD X x 9.946 = 45.75 Y X 9.946 =48.73 Z x 9.338 = -67.23 LoU1(BL) 9.946 LoU1 9.338 45.7516 48.7354 -67.2336 U1U2(CM) 9.948 U1U2 9.713 45.7608 48.7452 -69.9336 U2U3(DP) 8.534 U2U3 8.567 39.2564 41.8166 -61.6824 U3U4(EQ) 7.111 U3U4 7.421 32.7106 34.8439 -53.4312 U1L1(LM) 1 U1L1 1.068 4.6 4.9 -7.6896 U2L2(NO) 1.5 U2L2 1.602 6.9 7.35 -11.5344 U3L3(PQ) 2 U3L3 2.136 9.2 9.8 -15.3792 U2L1(MN) 1.6 U2L1 1.78 7.36 7.84 -12.816 U3L2(DP) 1.98 U3L2 2.142 9.108 9.702 -15.4224 U4L3(QR) 2.4 U4L3 2.562 11.04 11.76 -18.4464 LOL1(KL) 9.3 LOL1 8.568 42.78 45.57 -61.6896 L1L2(KN) 8 L1L2 7.144 36.8 39.2 -51.4368 L2L3(KP) 6.65 L2L3 5.72 30.59 32.585 -41.184 L3L4(KR) 5.326 L3L4 4.27 24.4996 26.0974 -30.744 ANJUMAN -I-ISLAM'S Prof. Dr G.S Kame Professor, Department of Civil Engineering M.H.SABOO SIDDIK COLLEGE OF ENGINEERING 8,SABOO SIDDIK POLYTECHNIC ROAD,MUMBAI-8 DEPARTMENT OF CIVIL ENGINEERING FULL PANEL POINT LOAD X,Y & Z (KN) DESIGN & DRAWING OF STEEL STRUCTURE HOWE TRUSS M H Saboo Siddik COE, Byculla TABLE NO: 1 CALCULATION OF MEMBER FORCES USING GRAPHICAL METHOD FOR DEAD & LIVE LOADS WIND LOAD
  • 7. SUBJECT BATCH : C1 2019 TYPE OF TRUSS SPAN:16M RISE:3M MEMBER DEAD LOAD LIVE LOAD MEMBER WIND LOAD DESIGN MEMBER DESIGNATION DL(KN) LL(KN) DESIGNATION WL(KN) 1.5(DL+LL) 1.2(DL+LL+WL) 1.5(DL+WL) FORCE(KN) NAME LoU1(BL) 45.7516 48.7354 LoU1 -67.2336 141.73 32.70 -32.22 U1U2(CM) 45.7608 48.7452 U1U2 -69.9336 141.76 29.49 -36.26 U2U3(DP) 39.2564 41.8166 U2U3 -61.6824 121.61 23.27 -33.64 U3U4(EQ) 32.7106 34.8439 U3U4 -53.4312 101.33 16.95 -31.08 U1L1(LM) 4.6 4.9 U1L1 -7.6896 14.25 2.172 -4.63 28.5 U2L2(NO) 6.9 7.35 U2L2 -11.5344 21.375 3.259 -6.95 U3L3(PQ) 9.2 9.8 U3L3 -15.3792 28.5 4.345 -9.27 U2L1(MN) 7.36 7.84 U2L1 -12.816 22.8 2.861 -8.18 34.2 U3L2(DP) 9.108 9.702 U3L2 -15.4224 28.215 4.065 -9.47 U4L3(QR) 11.04 11.76 U4L3 -18.4464 34.2 5.224 -11.11 LOL1(KL) 42.78 45.57 LOL1 -61.6896 132.525 31.99 -28.36 132.525 L1L2(KN) 36.8 39.2 L1L2 -51.4368 114 29.48 -21.96 L2L3(KP) 30.59 32.585 L2L3 -41.184 94.7625 26.39 -15.89 L3L4(KR) 24.4996 26.0974 L3L4 -30.744 75.8955 23.82 -9.37 Professor, Department of Civil Engineering M H Saboo Siddik COE, Byculla MAXIMUM FACTORED(KN) ANJUMAN -I-ISLAM'S M.H.SABOO SIDDIK COLLEGE OF ENGINEERING 8,SABOO SIDDIK POLYTECHNIC ROAD,MUMBAI-8 DEPARTMENT OF CIVIL ENGINEERING TABLE 2 CRITICAL LOAD COMBINATION & DESIGN LOADS DESIGN & DRAWING OF STEEL STRUCTURE HOWE TRUSS -9.27 TOP CHORD MEMBER STRUT/VERTICAL SLING/INCLINED -11.11 141.76 -36.26 -28.36 BOTTOM CHORD MEMBER Prof. Dr G.S Kame
  • 14. 2.How to solve Howe truss analytically by Methods of Section and Joints and how to tabulate the results to get critical design loads.
  • 33. 3.How to verify results using STAAD program in case of Howe truss for dead loads.
  • 34. STAAD PROGRAM TO SOLVE HOWE TRUSS FOR DEAD LOAD Dr G S KAME STAAD TRUSS START JOB INFORMATION ENGINEER DATE 29-Jan-16 JOB NAME C1 HOWE TRUSS JOB COMMENT M H SABOO SIDDIK COLLEGE OF ENGINEERING APPROVED NAME Dr KAME END JOB INFORMATION INPUT WIDTH 79 UNIT METER KN JOINT COORDINATES 1 0 0 0; 2 2 1 0; 3 2 0 0; 4 4.00001 0 0; 5 4.00001 2 0; 6 6.00001 0 0; 7 6.00001 3.00001 0; 8 8.00002 0 0; 9 8.00002 4.00001 0; 10 10 0 0; 11 10 3.00001 0; 12 12 0 0; 13 12 2 0; 14 14 0 0; 15 14 1 0; 16 16 0 0; MEMBER INCIDENCES 1 1 2; 2 1 3; 3 2 3; 4 2 5; 5 3 4; 6 5 3; 7 5 4; 8 4 6; 9 7 4; 10 5 7; 11 7 6; 12 6 8; 13 9 6; 14 7 9; 15 8 9; 16 10 8; 17 9 10; 18 11 9; 19 11 10; 20 12 10; 21 11 12; 22 13 11; 23 13 12; 24 14 12; 25 13 14; 26 15 13; 27 15 14; 28 16 14; 29 16 15; DEFINE MATERIAL START ISOTROPIC STEEL E 1.99947e+008 POISSON 0.3 DENSITY 76.8191 ALPHA 6.5e-006 DAMP 0.03 END DEFINE MATERIAL MEMBER PROPERTY INDIAN 1 TO 29 TABLE ST ISA100X100X8 CONSTANTS MATERIAL STEEL ALL SUPPORTS 1 16 PINNED LOAD 1 LOADTYPE Dead TITLE UNIT LOAD METHOD DL/LL JOINT LOAD 1 16 FY -0.5 2 5 7 9 11 13 15 FY -1 PERFORM ANALYSIS FINISH
  • 35. 4.Guide line for detailing of truss.
  • 36. ANJUMAN -I-ISLAM'S M.H.SABOO SIDDIK COLLEGE OF ENGINEERING 8,SABOO SIDDIK POLYTECHNIC ROAD,MUMBAI-8 DEPARTMENT OF CIVIL ENGINEERING SUBJECT: DESIGN & DRAWING OF STEEL STRUCTURE YEAR: 2019 TITLE: GUIDE LINE FOR DETAILING OF TRUSS FACULTY: Prof. Dr G.S Kame, Professor, Department of Civil Engineering, M H Saboo Siddik COE, Byculla, University of Mumbai