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Steel Calculation

This document contains calculations for the tension members of a mini stadium truss. Member 608 is analyzed with an assumed applied load of 101kN. The proposed cross section is a SHS 40x40x3.0 mm, which satisfies the required capacity with a utilization ratio of 0.85. Similar calculations are shown for Members 624, 626, and 610, selecting cross sections to satisfy the required capacities.

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54 views43 pages

Steel Calculation

This document contains calculations for the tension members of a mini stadium truss. Member 608 is analyzed with an assumed applied load of 101kN. The proposed cross section is a SHS 40x40x3.0 mm, which satisfies the required capacity with a utilization ratio of 0.85. Similar calculations are shown for Members 624, 626, and 610, selecting cross sections to satisfy the required capacities.

Uploaded by

moonelise9
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLSX, PDF, TXT or read online on Scribd
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KAAB K

PROJECT:

F F
MINI STADIUM UTHM KAMPUS PARIT RAJA
(DESIGNING TRUSS)
(TENSION MEMBER)

Faculty of Civil Engineering and Faculty


Built-Environment JOB NO : DATE: PAGE:
BFC44903 SEMESTER 2 2020/2021 TENSION/MEMBER 608 BFC44903 SE
Reference Calculations Remarks Reference

MEMBER 608

𝑁_𝑒𝑑=101𝑘𝑁
Assumed that the chord is connected by weld connection
𝑓_𝑦=275 𝑁∕ 〖𝑚𝑚〗 ^2
𝑓_𝑢=410 𝑁∕ 〖𝑚𝑚〗 ^2
𝛾_𝑀0=1.0
𝛾_𝑀2=1.25
𝑆𝑎𝑡𝑖𝑠𝑓𝑦 : 𝑁_𝑒𝑑/𝑁_(𝑡,𝑅𝑑) ≤1.0

𝑁_𝑒𝑑=𝑁_(𝑡,𝑅𝑑)= (𝐴𝑓_𝑦)/𝛾_𝑀0
101 × 〖 10 〗 ^3=(𝐴(275))/1.0
𝐴 =367.27 〖𝑚𝑚〗 ^2

Propose : SHS 40×40×3.0 𝐴 = 〖 434 𝑚𝑚 〗 ^2

Verification:
𝑁_(𝑝𝑙,𝑅𝑑)= (𝐴𝑓_𝑦)/𝛾_𝑀0 = ((434)×(275))/1.0=119.35𝑘𝑁

𝑁_(𝑢,𝑅𝑑)= (0.9𝐴_𝑛𝑒𝑡𝑡 𝑓_𝑢)/𝛾_𝑀2


=(0.9(434)(410))/1.25=128.12𝑘𝑁
𝑁_(𝑡,𝑅𝑑)=119.35𝑘𝑁

𝑁_𝑒𝑑/𝑁_(𝑡.𝑅𝑑) = 101/119.35=0.85<1.0 →𝑶𝑲!

DESIGN BY: CHECKED BY: DESIGN BY:


NURUL NABILAH BINTI ABU KASIM
DF180177
SECTION 3

KAAB K
PROJECT:

F F
MINI STADIUM UTHM KAMPUS PARIT RAJA
(DESIGNING TRUSS)
(TENSION MEMBER)

Faculty of Civil Engineering and Faculty


Built-Environment JOB NO : DATE: PAGE:
BFC44903 SEMESTER 2 2020/2021 TENSION/MEMBER 624 BFC44903 SE
Reference Calculations Remarks Reference

MEMBER 624
KAAB
PROJECT:

F
MINI STADIUM UTHM KAMPUS PARIT RAJA
(DESIGNING TRUSS)
(TENSION MEMBER)

Faculty of Civil Engineering and


Built-Environment JOB NO : DATE: PAGE:
BFC44903 SEMESTER 2 2020/2021 TENSION/MEMBER 626
Calculations Remarks

MEMBER 626

𝑁_𝑒𝑑=101𝑘𝑁
Assumed that the chord is connected by weld connection
𝑓_𝑦=275 𝑁∕ 〖𝑚𝑚〗 ^2
𝑓_𝑢=410 𝑁∕ 〖𝑚𝑚〗 ^2
𝛾_𝑀0=1.0
𝛾_𝑀2=1.25
𝑆𝑎𝑡𝑖𝑠𝑓𝑦 : 𝑁_𝑒𝑑/𝑁_(𝑡,𝑅𝑑) ≤1.0

𝑁_𝑒𝑑=𝑁_(𝑡,𝑅𝑑)= (𝐴𝑓_𝑦)/𝛾_𝑀0
101 × 〖 10 〗 ^3=(𝐴(275))/1.0
𝐴 =367.27 〖𝑚𝑚〗 ^2

Propose : SHS 40×40×3.0 𝐴 = 〖 434 𝑚𝑚 〗 ^2

Verification:
𝑁_(𝑝𝑙,𝑅𝑑)= (𝐴𝑓_𝑦)/𝛾_𝑀0 = ((434)×(275))/1.0=119.35𝑘𝑁

𝑁_(𝑢,𝑅𝑑)= (0.9𝐴_𝑛𝑒𝑡𝑡 𝑓_𝑢)/𝛾_𝑀2


=(0.9(434)(410))/1.25=128.12𝑘𝑁
𝑁_(𝑡,𝑅𝑑)=119.35𝑘𝑁

𝑁_𝑒𝑑/𝑁_(𝑡.𝑅𝑑) = 101/119.35=0.85<1.0 →𝑶𝑲!

CHECKED BY:
NURUL IZZATI BINTI JEO AMRAN
DF180181
SECTION 3

KAAB
PROJECT:

F
MINI STADIUM UTHM KAMPUS PARIT RAJA
(DESIGNING TRUSS)
(TENSION MEMBER)

Faculty of Civil Engineering and


Built-Environment JOB NO : DATE: PAGE:
BFC44903 SEMESTER 2 2020/2021 TENSION/MEMBER 610
Calculations Remarks

MEMBER 610
DESIGN BY: CHECKED BY: DESIGN BY:

KAAB K
PROJECT:

F F
MINI STADIUM UTHM KAMPUS PARIT RAJA
(DESIGNING TRUSS)
(TENSION MEMBER)

Faculty of Civil Engineering and Faculty


Built-Environment JOB NO : DATE: PAGE:
BFC44903 SEMESTER 2 2020/2021 TENSION/MEMBER 612 BFC44903 SE
Reference Calculations Remarks Reference

MEMBER 612
CHECKED BY:

KAAB
PROJECT:

F Faculty of Civil Engineering and


Built-Environment
BFC44903 SEMESTER 2 2020/2021
JOB NO : DATE: PAGE:

Calculations Remarks
DESIGN BY: CHECKED BY: DESIGN BY:

KAAB K
PROJECT:

F Faculty of Civil Engineering and


Built-Environment
BFC44903 SEMESTER 2 2020/2021
JOB NO : DATE: PAGE:
F Faculty

BFC44903 SE
Reference Calculations Remarks Reference
CHECKED BY:

KAAB
PROJECT:

F Faculty of Civil Engineering and


Built-Environment
BFC44903 SEMESTER 2 2020/2021
JOB NO : DATE: PAGE:

Calculations Remarks
DESIGN BY: CHECKED BY: DESIGN BY:

KAAB K
PROJECT:

F Faculty of Civil Engineering and


Built-Environment
BFC44903 SEMESTER 2 2020/2021
JOB NO : DATE: PAGE:
F Faculty

BFC44903 SE
Reference Calculations Remarks Reference

DESIGN BY: CHECKED BY: DESIGN BY:


CHECKED BY:

KAAB
PROJECT:

F Faculty of Civil Engineering and


Built-Environment
BFC44903 SEMESTER 2 2020/2021
JOB NO : DATE: PAGE:

Calculations Remarks

CHECKED BY:
KAAB K
PROJECT:

F F
MINI STADIUM UTHM KAMPUS PARIT RAJA
(DESIGNING TRUSS)
(COMPRESSION MEMBER)

Faculty of Civil Engineering and Faculty


Built-Environment JOB NO : DATE: PAGE:
BFC44903 SEMESTER 2 2020/2021 COMPRESSION/MEMBER 609 BFC44903 SE
Reference Calculations Remarks Reference

MEMBER 609

𝑁_𝑒𝑑=46.9𝑘𝑁 (𝐶𝑜𝑚𝑝𝑟𝑒𝑠𝑠𝑖𝑜𝑛)
Assumed Steel grade S275 used
𝑓_𝑦=275 𝜆 ̅= √((
𝐹_𝑒=410

Try Section: SHS 50×50×3.0 𝑁_𝑐𝑟=


h = 50mm
b = 50mm
t = 3.0 mm
𝐴=554 〖𝑚𝑚〗 ^2
〖𝑚𝑚〗 ^4
I = 202000
𝑊_𝑒𝑙=8080 〖𝑚𝑚〗 ^3
𝑊_𝑝𝑙=9700 〖𝑚𝑚〗 ^3

Section Classification,
Steel grade = 275,
𝑡≤40𝑚𝑚,
𝜀= √(235/275=0.92)

𝑐=50 −2(3)=44
𝑐∕𝑡=14.67 <3𝜀=30.36 →𝑂𝑣𝑒𝑟𝑎𝑙𝑙 𝑐𝑟𝑜𝑠𝑠−𝑠𝑒𝑐𝑡𝑖𝑜𝑛 : 𝐶𝑙𝑎𝑠𝑠 1

𝑁_(𝑐,𝑅𝑑)= (𝐴𝑓_𝑦)/𝛾_𝑀0 = ((554)(275))/1.0=152.35𝑘𝑁


𝑁_𝐸𝑑=46.9kN < 𝑁_(𝐶,𝑅𝑑)=152.35𝑘𝑁 →𝑶𝑲!

DESIGN BY: CHECKED BY: DESIGN BY:


NURUL IZZATI BINTI JEO AMRAN
DF180181
SECTION 3

KAAB K
PROJECT:

F F
MINI STADIUM UTHM KAMPUS PARIT RAJA
(DESIGNING TRUSS)
(COMPRESSION MEMBER)

Faculty of Civil Engineering and Faculty


Built-Environment JOB NO : DATE: PAGE:
BFC44903 SEMESTER 2 2020/2021 COMPRESSION/MEMBER 623 BFC44903 SE
Reference Calculations Remarks Reference

MEMBER 625
KAAB
PROJECT:

F
MINI STADIUM UTHM KAMPUS PARIT RAJA
(DESIGNING TRUSS)
(COMPRESSION MEMBER)

Faculty of Civil Engineering and


Built-Environment JOB NO : DATE: PAGE:
BFC44903 SEMESTER 2 2020/2021 COMPRESSION/MEMBER 625
Calculations Remarks

Buckling resistance of section,

𝑁_(𝑏,𝑅𝑑)= (𝜒𝐴𝑓_𝑦)/𝛾_𝑀1

𝜒= 1/(𝜙+ √(𝜙^2−𝜆 ̅ )) but 𝜒<1.0

𝜙=0.5[1+𝛼(𝜆−0.2)]+𝜆^2

𝜆 ̅= √((𝐴𝑓_𝑦)/𝑁_𝑐𝑟 )= √(((559)(275))/(186.07× 〖 10 〗 ^3 ))=0.91

𝑁_𝑐𝑟= (𝜋^2 𝐸𝐼)/ 〖𝐿 ^2 〗 _𝐶𝑅 = (𝜋^2 (210000)(202000))/ 〖 1500 〗 ^2 =186.07 𝑘𝑁

S
Selection of buckling curve, 𝛼=0.21

𝜙=0.5[1+(0.21)(0.91−0.2)]+ 〖 (0.91) 〗 ^2 =1.40

𝜒= 1/(1.40+ √( 〖 (1.40) 〗 ^2−1.15))=0.43<1.0 →𝐎𝐊!

𝑁_(𝑏,𝑅𝑑)= ((0.43)(554)(275))/1.0=65.51kN

〖𝑁 _𝐸𝑑=46.9𝑘𝑁<𝑁 〗 _(𝑏,𝑅𝑑)=65.51kN →𝐎𝐊!

CHECKED BY:

KAAB
PROJECT:

F
MINI STADIUM UTHM KAMPUS PARIT RAJA
(DESIGNING TRUSS)
(COMPRESSION MEMBER)

Faculty of Civil Engineering and


Built-Environment JOB NO : DATE: PAGE:
BFC44903 SEMESTER 2 2020/2021 COMPRESSION/MEMBER 611
Calculations Remarks

Buckling resistance of section,

𝑁_(𝑏,𝑅𝑑)= (𝜒𝐴𝑓_𝑦)/𝛾_𝑀1

𝜒= 1/(𝜙+ √(𝜙^2−𝜆 ̅ )) but 𝜒<1.0


𝑁_𝑒𝑑=46.9𝑘𝑁 (𝐶𝑜𝑚𝑝𝑟𝑒𝑠𝑠𝑖𝑜𝑛) 𝜆 ̅= √((
Assumed Steel grade S275 used
𝑓_𝑦=275
𝐹_𝑒=410 𝑁_𝑐𝑟=

Try Section: SHS 50×50×3.0

h = 50mm
b = 50mm
t = 3.0 mm
𝐴=554 〖𝑚𝑚〗 ^2
〖𝑚𝑚〗 ^4
I = 202000
𝑊_𝑒𝑙=8080 〖𝑚𝑚〗 ^3
𝑊_𝑝𝑙=9700 〖𝑚𝑚〗 ^3

Section Classification,
Steel grade = 275,
𝑡≤40𝑚𝑚,
𝜀= √(235/275=0.92)

𝑐=50 −2(3)=44
𝑐∕𝑡=14.67 <3𝜀=30.36 →𝑂𝑣𝑒𝑟𝑎𝑙𝑙 𝑐𝑟𝑜𝑠𝑠−𝑠𝑒𝑐𝑡𝑖𝑜𝑛 : 𝐶𝑙𝑎𝑠𝑠 1

𝑁_(𝑐,𝑅𝑑)= (𝐴𝑓_𝑦)/𝛾_𝑀0 = ((554)(275))/1.0=152.35𝑘𝑁


𝑁_𝐸𝑑=46.9kN < 𝑁_(𝐶,𝑅𝑑)=152.35𝑘𝑁 →𝑶𝑲!

DESIGN BY: CHECKED BY: DESIGN BY:

KAAB K
PROJECT:

F F
MINI STADIUM UTHM KAMPUS PARIT RAJA
(DESIGNING TRUSS)
(COMPRESSION MEMBER)

Faculty of Civil Engineering and Faculty


Built-Environment JOB NO : DATE: PAGE:
BFC44903 SEMESTER 2 2020/2021 COMPRESSION/MEMBER 611 BFC44903 SE
Reference Calculations Remarks Reference

MEMBER 611
𝜙=0.5[1+𝛼(𝜆−0.2)]+𝜆^2

𝜆 ̅= √((𝐴𝑓_𝑦)/𝑁_𝑐𝑟 )= √(((559)(275))/(186.07× 〖 10 〗 ^3 ))=0.91

𝑁_𝑐𝑟= (𝜋^2 𝐸𝐼)/ 〖𝐿 ^2 〗 _𝐶𝑅 = (𝜋^2 (210000)(202000))/ 〖 1500 〗 ^2 =186.07 𝑘𝑁

S
Selection of buckling curve, 𝛼=0.21

𝜙=0.5[1+(0.21)(0.91−0.2)]+ 〖 (0.91) 〗 ^2 =1.40

𝜒= 1/(1.40+ √( 〖 (1.40) 〗 ^2−1.15))=0.43<1.0 →𝐎𝐊!

𝑁_(𝑏,𝑅𝑑)= ((0.43)(554)(275))/1.0=65.51kN

〖𝑁 _𝐸𝑑=46.9𝑘𝑁<𝑁 〗 _(𝑏,𝑅𝑑)=65.51kN →𝐎𝐊!

CHECKED BY:

KAAB
PROJECT:

F Faculty of Civil Engineering and


Built-Environment
BFC44903 SEMESTER 2 2020/2021
JOB NO : DATE: PAGE:

Calculations Remarks
DESIGN BY: CHECKED BY: DESIGN BY:

KAAB K
PROJECT:

F Faculty of Civil Engineering and


Built-Environment
BFC44903 SEMESTER 2 2020/2021
JOB NO : DATE: PAGE:
F Faculty

BFC44903 SE
Reference Calculations Remarks Reference
CHECKED BY:

KAAB
PROJECT:

F Faculty of Civil Engineering and


Built-Environment
BFC44903 SEMESTER 2 2020/2021
JOB NO : DATE: PAGE:

Calculations Remarks
DESIGN BY: CHECKED BY: DESIGN BY:

KAAB K
PROJECT:

F Faculty of Civil Engineering and


Built-Environment
BFC44903 SEMESTER 2 2020/2021
JOB NO : DATE: PAGE:
F Faculty

BFC44903 SE
Reference Calculations Remarks Reference

DESIGN BY: CHECKED BY: DESIGN BY:


CHECKED BY:

KAAB
PROJECT:

F Faculty of Civil Engineering and


Built-Environment
BFC44903 SEMESTER 2 2020/2021
JOB NO : DATE: PAGE:

Calculations Remarks

CHECKED BY:

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