A welded tension member is consisting of two channels placed 400mm back to back with flanges turned out. Select a channel for factored tensile of 4RKN using A36 steel and AISC specifications. The member is to be 15m long.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Instructions:-
Write down each step clearly in calculation suggestion what you are doing.( you need to tell why you selected particular value of
ø (phi) and U). What and why you are calculating certain step

Consider R= 433.5

PROBLEM

A welded tension member is consisting of two channels placed 400mm back to back with flanges turned out. Select a channel for factored tensile of 4RKN using A36 steel and AISC specifications.
The member is to be 15m long.

PLASE USE THE EXAMPLE AS GUIDE OF ALL STEPS AND FORMULAS TO BE USE 

 

52
STEEL STRUCTURES
SIDDIQI Z. A.
DESIGN OF TENSION MEMBERS $3
CHAPTER 2:
Solution:
Approximate r, and r,: (using Design Aids)
P, - 450 kN
T,= 840 kN
(1 +0.015 L) P.
r,= 0.36 h = 0.36(152) - 55 mm
r,-0.60 b - 0.60(300 – 2x51) - 118.8 mm
- (1.54) (450)
- 693 kN
T, > (1 +0.015 L) P.
Exact r, & r, (preferable and a must for final trial):
152
Referring to Figure 2.17,
r, = 56.4 mm as for a single section
I, =2 x 36.0 x10 + 2 x 1990 (150 - S1 + 12.7)
- 5038 x 10' mm'
Design first as a tension member and then check for P. (Case 3).
For welded connections,
300
5038 x 10
- 112.5 mm
I, x1000
Areg
840x1000
2x 1990
Figure 2.17. Built-Up Section Made
By Two Channels.
= 3733 mm
0.9F,
0.9x250
3733
Areg for one channel =
= 1867 mm
Pain 56.4 mm
%3D
bain - 50 mn for welded connections
6x 1000
Li Tmin.
106.4 < 200
(OK)
564
Options available:
1. C 150 x 15.6
2. МС 310 х 15.8
Design of Lacing: This part can be completed after discussion on the design of compression
members.
e.g
Trial section: 2C, 150 x 15.6 (Figure 2.16)
A -1990 mm?
d =152mm ; by=5Imm
I = 633 x 10ʻ man
I, -36.0 x 10' mm
- 12.7 mn
, - 56.4 mm ; r,-13.4 mm
Check For Compressive Strength:
** x 200,000
(106.4)*
F.
174.36 kN
Figure 2.16. Location of Centroid
for a Channel Section.
(KL./r)
> 0.44 F,
- 110 kN
(Inelastic buckling)
Check for bte
4F -
F, = 0.9x p.658 * 250
Both d and by > buin
(OK)
123.47 MPa
Capacity Check:
123.47 х 2х 1990/1000
AT,
49141 kN
P.
(OK)
0.9 F, Aal
=0.9 x 250 x (2 x 1990) / 1000
AT. - 0.75 F,UA.
895.5 kN > T. (OK)
Loading cycles are assumed less than 20,000
= 0.75 x 400 x 0,85 x (2x1990y1000 - 1014.9 kN > T,
(OK)
Assume U-0.85 from design aids and later check by using the detailed formula.
Design Connections
Transcribed Image Text:52 STEEL STRUCTURES SIDDIQI Z. A. DESIGN OF TENSION MEMBERS $3 CHAPTER 2: Solution: Approximate r, and r,: (using Design Aids) P, - 450 kN T,= 840 kN (1 +0.015 L) P. r,= 0.36 h = 0.36(152) - 55 mm r,-0.60 b - 0.60(300 – 2x51) - 118.8 mm - (1.54) (450) - 693 kN T, > (1 +0.015 L) P. Exact r, & r, (preferable and a must for final trial): 152 Referring to Figure 2.17, r, = 56.4 mm as for a single section I, =2 x 36.0 x10 + 2 x 1990 (150 - S1 + 12.7) - 5038 x 10' mm' Design first as a tension member and then check for P. (Case 3). For welded connections, 300 5038 x 10 - 112.5 mm I, x1000 Areg 840x1000 2x 1990 Figure 2.17. Built-Up Section Made By Two Channels. = 3733 mm 0.9F, 0.9x250 3733 Areg for one channel = = 1867 mm Pain 56.4 mm %3D bain - 50 mn for welded connections 6x 1000 Li Tmin. 106.4 < 200 (OK) 564 Options available: 1. C 150 x 15.6 2. МС 310 х 15.8 Design of Lacing: This part can be completed after discussion on the design of compression members. e.g Trial section: 2C, 150 x 15.6 (Figure 2.16) A -1990 mm? d =152mm ; by=5Imm I = 633 x 10ʻ man I, -36.0 x 10' mm - 12.7 mn , - 56.4 mm ; r,-13.4 mm Check For Compressive Strength: ** x 200,000 (106.4)* F. 174.36 kN Figure 2.16. Location of Centroid for a Channel Section. (KL./r) > 0.44 F, - 110 kN (Inelastic buckling) Check for bte 4F - F, = 0.9x p.658 * 250 Both d and by > buin (OK) 123.47 MPa Capacity Check: 123.47 х 2х 1990/1000 AT, 49141 kN P. (OK) 0.9 F, Aal =0.9 x 250 x (2 x 1990) / 1000 AT. - 0.75 F,UA. 895.5 kN > T. (OK) Loading cycles are assumed less than 20,000 = 0.75 x 400 x 0,85 x (2x1990y1000 - 1014.9 kN > T, (OK) Assume U-0.85 from design aids and later check by using the detailed formula. Design Connections
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