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LK, o K

This document provides analysis of a timber truss. It includes nodal coordinate data, element properties, material properties, support conditions, self-weight loads, additional live and wind loads, and load combinations. The results section summarizes deflections, reactions, and internal forces for various load combinations at serviceability and ultimate limit states. Equilibrium of the system is confirmed.

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Martin Kadhikwa
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0% found this document useful (0 votes)
26 views8 pages

LK, o K

This document provides analysis of a timber truss. It includes nodal coordinate data, element properties, material properties, support conditions, self-weight loads, additional live and wind loads, and load combinations. The results section summarizes deflections, reactions, and internal forces for various load combinations at serviceability and ultimate limit states. Equilibrium of the system is confirmed.

Uploaded by

Martin Kadhikwa
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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======================= S p a c e - F r a m e A n a l y s i s - P R O K O N =======================

Ver W5.0.12 -31 Jan 2023

TITLE :Timber Truss

Data file :

Created on: 06/11/2023

======================================= NODAL POINT COORDINATES ======================================

Node No X-coord Y-coord Z-coord Node No X-coord Y-coord Z-coord

m m m m m m

1 0.000 0.000 0.000 2 0.000 6.000 0.000

4 6.000 7.115 0.000 5 -6.000 7.115 0.000

============================================ ELEMENT DATA =============================================

Beam Secn. type Fixity Length ß Group no. Stage

m (°)

1-2 COL 00 6.000 0.00 0 0

2-4 RAF 00 6.103 0.00 0 0

2-5 RAF 00 6.103 0.00 0 0

=================================== BEAM SECTION PROPERTIES ==========================================

Section : COL Section designation: 305x165x54 I1

----------------

A Ay Ax Ixx Iyy J Material

m^2 m^2 m^2 m^4 m^4 m^4

6.820E-3 0.000 0.000 117E-6 10.6E-6 345E-9 Steel:300W


Section : RAF Section designation: 305x102x25 I1

----------------

A Ay Ax Ixx Iyy J Material

m^2 m^2 m^2 m^4 m^4 m^4

3.160E-3 0.000 0.000 44.5E-6 1.23E-6 49.9E-9 Steel:300W

============================================ MATERIALS ================================================

Designation E poisson Density Exp. coeff.

kPa kN/m^3

Steel:300W 200.0E6 0.30 77.00 11.70E-6

========================================== SUPPORT DATA ===============================================

Prescribed displacements

Node Fixity X Y Z X-Rot Y-Rot Z-Rot Orien node

m m m rad. rad. rad.

1 XY z 0.00 0.00 0.00 0.00 0.00 0.00 0

Spring constants

Node Fixity X Y Z X-Rot Y-Rot Z-Rot

kN/m kN/m kN/m kNm/rad kNm/rad kNm/rad

================================================= LOADS ===============================================

Load Case Description

DEAD
WL

Add own weight to load case : DEAD

========================================== LOAD CASE DEAD ============================================

*** POINT LOADS ***

Node Fx Fy Fz Mx My Mz Stage

kN kN kN kNm kNm kNm

8 0.00 0.00 0.00 0.00 0.00 0.00 0

9 0.00 0.00 0.00 0.00 0.00 0.00 0

10 0.00 0.00 0.00 0.00 0.00 0.00 0

11 0.00 0.00 0.00 0.00 0.00 0.00 0

12 0.00 0.00 0.00 0.00 0.00 0.00 0

*** BEAM ELEMENT LOADS ***

Element Dir P a Wl Wr a(left) Length dT Stage

kN m kN/m kN/m m m °C

2-5 L 0.00 0.00 -145E-3 -145E-3 0.00 6.10 0.00 1

2-4 L 0.00 0.00 -145E-3 -145E-3 0.00 6.10 0.00 1

========================================== LOAD CASE LIVE ============================================

*** POINT LOADS ***

Node Fx Fy Fz Mx My Mz Stage

kN kN kN kNm kNm kNm


9 0.00 0.00 0.00 0.00 0.00 0.00 0

10 0.00 0.00 0.00 0.00 0.00 0.00 0

11 0.00 0.00 0.00 0.00 0.00 0.00 0

12 0.00 0.00 0.00 0.00 0.00 0.00 0

*** BEAM ELEMENT LOADS ***

Element Dir P a Wl Wr a(left) Length dT Stage

kN m kN/m kN/m m m °C

2-5 L 0.00 0.00 -380E-3 -380E-3 0.00 6.10 0.00 1

2-4 L 0.00 0.00 -380E-3 -380E-3 0.00 6.10 0.00 1

========================================== LOAD CASE WL ============================================

*** BEAM ELEMENT LOADS ***

Element Dir P a Wl Wr a(left) Length dT Stage

kN m kN/m kN/m m m °C

2-5 L 0.00 0.00 4.00 4.00 0.00 6.10 0.00 1

2-4 L 0.00 0.00 4.00 4.00 0.00 6.10 0.00 1

============================================ LOAD COMBINATIONS =======================================

Load Comb Description

D+L

D+W

D+L+W

Comb. Load factor for each load case: Ultimate Limit State
D+L 1.00 1.60 0.00

D+W 1.20 0.00 0.00

D+L+W 1.20 1.60 0.00

Comb. Load factor for each load case: Serviceability Limit State

DEAD LIVE WL

D+L 1.00 1.10 0.00

D+W 1.00 0.00 0.00

D+L+W 1.00 1.10 0.00

========================================= OWN WEIGHT ACCELERATIONS ==================================

Direction Acceleration (g)

X 0.00

Y -1.00

Z 0.00

========================================= OUTPUT: LINEAR ANALYSIS ======================================

===================================== NODAL POINT DISPLACEMENTS at SLS =================================

Node Lcase X-disp. Y-disp. Z-disp. X-rot. Y-rot. Z-rot.

mm mm mm rad. rad. rad.

1 D+L 0.00 0.00 0.00 0.0000 0.0000 0.0000

D+W 0.00 0.00 0.00 0.0000 0.0000 0.0000

D+L+W 0.00 0.00 0.00 0.0000 0.0000 0.0000

2 D+L 0.00 -0.05 0.00 0.0000 0.0000 0.0000

D+W 0.00 -0.03 0.00 0.0000 0.0000 0.0000

D+L+W 0.00 -0.05 0.00 0.0000 0.0000 0.0000

4 D+L 2.85 -15.42 0.00 0.0000 0.0000 -0.0034


D+L+W 2.85 -15.42 0.00 0.0000 0.0000 -0.0034

5 D+L -2.85 -15.42 0.00 0.0000 0.0000 0.0034

D+W -1.37 -7.39 0.00 0.0000 0.0000 0.0016

D+L+W -2.85 -15.42 0.00 0.0000 0.0000 0.0034

======================================== REACTIONS AT ULS ======================================

(In rotated axes where applicable)

Node Lcase X-force Y-force Z-force X-moment Y-moment Z-moment

kN kN kN kNm kNm kNm

1 D+L 0.00 15.16 0.00 0.00 0.00 0.00

D+W 0.00 9.43 0.00 0.00 0.00 0.00

D+L+W 0.00 16.73 0.00 0.00 0.00 0.00

EQUILIBRIUM CHECK AT ULS:

LC APPLIED LOADS & MOMENTS about (0.0,0.0,0.0) in global axes

Sum of: Px Py Pz Mx My Mz

D+L 0.00 -15.16 0.00 0.00 0.00 0.00

D+W 0.00 -9.43 0.00 0.00 0.00 0.00

D+L+W 0.00 -16.73 0.00 0.00 0.00 0.00

LC REACTIONS & REACTION MOMENTS about (0.0,0.0,0.0) in global axes

Sum of: Rx Ry Rz MRx MRy MRz

D+L 0.00 15.16 0.00 0.00 0.00 0.00

D+W 0.00 9.43 0.00 0.00 0.00 0.00

D+L+W 0.00 16.73 0.00 0.00 0.00 0.00

============================= REACTIONS AT SLS (Combinations only) ==========================


Node Lcase X-force Y-force Z-force X-moment Y-moment Z-moment

kN kN kN kNm kNm kNm

1 D+L 0.00 12.88 0.00 0.00 0.00 0.00

D+W 0.00 7.86 0.00 0.00 0.00 0.00

D+L+W 0.00 12.88 0.00 0.00 0.00 0.00

====================== BEAM ELEMENT END FORCES IN LOCAL ELEMENT AXES at ULS ====================

Elem Lcase Axial Y-Shear X-Shear Torsion M-yy M-xx

kN kN kN kNm kNm kNm

1- D+L 15.16 0.00 0.00 0.00 0.00 0.00

2 -12.01 0.00 0.00 0.00 0.00 0.00

D+W 9.43 0.00 0.00 0.00 0.00 0.00

-5.65 0.00 0.00 0.00 0.00 0.00

D+L+W 16.73 0.00 0.00 0.00 0.00 0.00

-12.95 0.00 0.00 0.00 0.00 0.00

2- D+L 0.27 6.06 0.00 0.00 0.00 18.48

4 0.00 0.00 0.00 0.00 0.00 0.00

D+W 0.33 2.81 0.00 0.00 0.00 8.59

0.00 0.00 0.00 0.00 0.00 0.00

D+L+W 0.33 6.52 0.00 0.00 0.00 19.91

0.00 0.00 0.00 0.00 0.00 0.00

2- D+L 0.27 6.06 0.00 0.00 0.00 18.48

5 0.00 0.00 0.00 0.00 0.00 0.00

D+W 0.33 2.81 0.00 0.00 0.00 8.59

0.00 0.00 0.00 0.00 0.00 0.00

D+L+W 0.33 6.52 0.00 0.00 0.00 19.91

0.00 0.00 0.00 0.00 0.00 0.00

=========================================== STATISTICAL DATA ===========================================


Section Designation Total Mass

(kN) (kg)

COL 305x165x54 I1 3.151 321.2

RAF 305x102x25 I1 2.970 302.7

---------------------

6.121 623.9

Total weight of structure = 6.12 kN

No. of real numbers in Stiffness matrix = 0 (0 bytes)

Time used to analyse = 0: 0:0.000 seconds

Total number of : Nodes =4

Beam Elements =3

Cable Elements =0

Shell Elements =0

Supports =1

Section Properties = 2

Load Cases =3

Load Combinations = 3

============================================ END OF OUTPUT ============================================

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