In a pre-stressed connection using 8 bolts, the stiffness coefficient of each Kb = 1.0 MN / mm, and the stiffness coefficient of connected parts is km = 2.6 MN / bolt is mm. Pre-stress (Fi) is applied up to 75 percent of the bolt-on safe strength (Sp) value to make a non-permanent connection. The load acting on the connections (bolts) is evenly distributed. The bolts are M6 x 1 ISO 5.8. In case of repeated loading with the maximum load Pmax = 60 kN and the minimum load Pmin = 20 kN for all the connections. Čalculate: a) Safety factor against yielding (np) b) Safety factor for overload (Load factor) (nL) c) Safety factor against joint separation (no). d) Use the Goodman fatigue criteria to calculate the safety factor required to avoid fatigue damage
In a pre-stressed connection using 8 bolts, the stiffness coefficient of each Kb = 1.0 MN / mm, and the stiffness coefficient of connected parts is km = 2.6 MN / bolt is mm. Pre-stress (Fi) is applied up to 75 percent of the bolt-on safe strength (Sp) value to make a non-permanent connection. The load acting on the connections (bolts) is evenly distributed. The bolts are M6 x 1 ISO 5.8. In case of repeated loading with the maximum load Pmax = 60 kN and the minimum load Pmin = 20 kN for all the connections. Čalculate: a) Safety factor against yielding (np) b) Safety factor for overload (Load factor) (nL) c) Safety factor against joint separation (no). d) Use the Goodman fatigue criteria to calculate the safety factor required to avoid fatigue damage
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![In a pre-stressed connection using 8 bolts, the stiffness coefficient of each
Kb = 1.0 MN / mm, and the stiffness coefficient of connected parts is km = 2.6 MN /
bolt is
mm. Pre-stress (Fi) is applied up to 75 percent of the bolt-on safe strength (Sp) value to make a
non-permanent connection. The load acting on the connections (bolts) is evenly distributed. The
bolts are M6 x 1 ISO 5.8. In case of repeated loading with the maximum load Pmax = 60 kN and the
minimum load Pmin = 20 kN for all the connections. Calculate:
a) Safety factor against yielding (np)
b) Safety factor for overload (Load factor) (nL)
c) Safety factor against joint separation (no).
d) Use the Goodman fatigue criteria to calculate the safety factor required to avoid fatigue
damage
e) Comment on the strength of the connections based on the values you find in (d).
(Sp = 380 MPa, A = 20.1 mm?, Sy = 420 MPa, Sut = 520 MPa, S, = 86.4 MPa (All the effects
included))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd530d55a-ab39-4e38-80cb-d31d3ca96cba%2F2cf94a70-6d56-4bbf-b4e8-8e3e656b2789%2Fscg4o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In a pre-stressed connection using 8 bolts, the stiffness coefficient of each
Kb = 1.0 MN / mm, and the stiffness coefficient of connected parts is km = 2.6 MN /
bolt is
mm. Pre-stress (Fi) is applied up to 75 percent of the bolt-on safe strength (Sp) value to make a
non-permanent connection. The load acting on the connections (bolts) is evenly distributed. The
bolts are M6 x 1 ISO 5.8. In case of repeated loading with the maximum load Pmax = 60 kN and the
minimum load Pmin = 20 kN for all the connections. Calculate:
a) Safety factor against yielding (np)
b) Safety factor for overload (Load factor) (nL)
c) Safety factor against joint separation (no).
d) Use the Goodman fatigue criteria to calculate the safety factor required to avoid fatigue
damage
e) Comment on the strength of the connections based on the values you find in (d).
(Sp = 380 MPa, A = 20.1 mm?, Sy = 420 MPa, Sut = 520 MPa, S, = 86.4 MPa (All the effects
included))
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Step 1 Introduction
VIEWStep 2 Data Given
VIEWStep 3 Calculation of pre-stress Force
VIEWStep 4 Calculation of Safety factor against yielding
VIEWStep 5 Calculation of Safety factor for a overload
VIEWStep 6 Calculation of Safety factor Joint seperation
VIEWStep 7 Calculation of Safety factor required to avoid fatigue damage
VIEWStep 8 Conclusion
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