A: Wel Question 2 (a) A simple circular hollow section (CHS) tubular K-joint in a steel structure, subjected to balanced axial loading, is illustrated in Figure 2a. Determine the maximum hot spot stress at the joint intersection of the chord and the loaded brace B. (b) The steel structure is installed in the seawater with cathodic protection. Determine the number of stress cycles to failure based on the maximum hot stress range obtained in part (a). Use the NORSOK standard. (Refer to S-N curves for tubular joints in air environment and seawater with cathodic protection). (c) Estimate the number of load repetitions required to induce fatigue failure in the tubular joint, based on the load history provided in Figure 2b. The nominal yield and ultimate tensile strength are 355 N/mm² and 510 N/mm², respectively. Assume a damage limit of 1.0. Use the Modified Goodman formulation to determine the equivalent completely reversed stress. (d) Describe briefly the procedure to determine the hot spot stress at the joint intersection. State your design assumptions, if any. 80 kN : 80 kN 45° diagonal brace B: 45° diagonal brace A: 244.5 x 8 mm fy = 275 N/mm² Gap size 50 mm + 244.5 x 8 mm A = 59.4 cm² f₁ = 275 N/mm² A = 59.4 cm² W = 340 cm³ Wel=340 cm³ Cross section area of steel member Section modulus of steel member Stress range (MPa) 1000 100 Seawater with cathodic protection 10 In air 1600 mm Chord: + 323.9 x 10 mm f = 355 N/mm² A = 98.6 cm² Wel = 751 cm³ 1.000-04 1.008-05 1.005-06 1.00E+07 1.00E+08 100-09 Page 2 of 3 Number of cycles
A: Wel Question 2 (a) A simple circular hollow section (CHS) tubular K-joint in a steel structure, subjected to balanced axial loading, is illustrated in Figure 2a. Determine the maximum hot spot stress at the joint intersection of the chord and the loaded brace B. (b) The steel structure is installed in the seawater with cathodic protection. Determine the number of stress cycles to failure based on the maximum hot stress range obtained in part (a). Use the NORSOK standard. (Refer to S-N curves for tubular joints in air environment and seawater with cathodic protection). (c) Estimate the number of load repetitions required to induce fatigue failure in the tubular joint, based on the load history provided in Figure 2b. The nominal yield and ultimate tensile strength are 355 N/mm² and 510 N/mm², respectively. Assume a damage limit of 1.0. Use the Modified Goodman formulation to determine the equivalent completely reversed stress. (d) Describe briefly the procedure to determine the hot spot stress at the joint intersection. State your design assumptions, if any. 80 kN : 80 kN 45° diagonal brace B: 45° diagonal brace A: 244.5 x 8 mm fy = 275 N/mm² Gap size 50 mm + 244.5 x 8 mm A = 59.4 cm² f₁ = 275 N/mm² A = 59.4 cm² W = 340 cm³ Wel=340 cm³ Cross section area of steel member Section modulus of steel member Stress range (MPa) 1000 100 Seawater with cathodic protection 10 In air 1600 mm Chord: + 323.9 x 10 mm f = 355 N/mm² A = 98.6 cm² Wel = 751 cm³ 1.000-04 1.008-05 1.005-06 1.00E+07 1.00E+08 100-09 Page 2 of 3 Number of cycles
Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter6: Introduction To Mechanical Properties
Section: Chapter Questions
Problem 5CQ
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Wel
Question 2
(a) A simple circular hollow section (CHS) tubular K-joint in a steel structure, subjected to balanced
axial loading, is illustrated in Figure 2a. Determine the maximum hot spot stress at the joint
intersection of the chord and the loaded brace B.
(b) The steel structure is installed in the seawater with cathodic protection. Determine the number of
stress cycles to failure based on the maximum hot stress range obtained in part (a). Use the
NORSOK standard. (Refer to S-N curves for tubular joints in air environment and seawater with
cathodic protection).
(c) Estimate the number of load repetitions required to induce fatigue failure in the tubular joint, based
on the load history provided in Figure 2b. The nominal yield and ultimate tensile strength are 355
N/mm² and 510 N/mm², respectively. Assume a damage limit of 1.0. Use the Modified Goodman
formulation to determine the equivalent completely reversed stress.
(d) Describe briefly the procedure to determine the hot spot stress at the joint intersection.
State your design assumptions, if any.
80 kN
: 80 kN
45° diagonal brace B:
45° diagonal brace A:
244.5 x 8 mm
fy = 275 N/mm²
Gap size
50 mm
+ 244.5 x 8 mm
A = 59.4 cm²
f₁ = 275 N/mm²
A = 59.4 cm²
W = 340 cm³
Wel=340 cm³
Cross section area of steel member
Section modulus of steel member
Stress range (MPa)
1000
100 Seawater with
cathodic protection
10
In air
1600 mm
Chord:
+ 323.9 x 10 mm
f = 355 N/mm²
A = 98.6 cm²
Wel = 751 cm³
1.000-04
1.008-05
1.005-06
1.00E+07
1.00E+08
100-09
Page 2 of 3
Number of cycles"
Transcribed Image Text:A:
Wel
Question 2
(a) A simple circular hollow section (CHS) tubular K-joint in a steel structure, subjected to balanced
axial loading, is illustrated in Figure 2a. Determine the maximum hot spot stress at the joint
intersection of the chord and the loaded brace B.
(b) The steel structure is installed in the seawater with cathodic protection. Determine the number of
stress cycles to failure based on the maximum hot stress range obtained in part (a). Use the
NORSOK standard. (Refer to S-N curves for tubular joints in air environment and seawater with
cathodic protection).
(c) Estimate the number of load repetitions required to induce fatigue failure in the tubular joint, based
on the load history provided in Figure 2b. The nominal yield and ultimate tensile strength are 355
N/mm² and 510 N/mm², respectively. Assume a damage limit of 1.0. Use the Modified Goodman
formulation to determine the equivalent completely reversed stress.
(d) Describe briefly the procedure to determine the hot spot stress at the joint intersection.
State your design assumptions, if any.
80 kN
: 80 kN
45° diagonal brace B:
45° diagonal brace A:
244.5 x 8 mm
fy = 275 N/mm²
Gap size
50 mm
+ 244.5 x 8 mm
A = 59.4 cm²
f₁ = 275 N/mm²
A = 59.4 cm²
W = 340 cm³
Wel=340 cm³
Cross section area of steel member
Section modulus of steel member
Stress range (MPa)
1000
100 Seawater with
cathodic protection
10
In air
1600 mm
Chord:
+ 323.9 x 10 mm
f = 355 N/mm²
A = 98.6 cm²
Wel = 751 cm³
1.000-04
1.008-05
1.005-06
1.00E+07
1.00E+08
100-09
Page 2 of 3
Number of cycles
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