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A simply supported beam has a span of 6 m and a moment of resistance Mr. The beam carries a uniform load, including its own weight, w,, and a central point load is the sum of two loads, P₁ and P₂. The details of the various design parameters are as follows: Variable P₁ P2₂ Ws M₁ Symbol X₂ X3 X4 Mean 30 40 5 1100 s.d. 5 5 0.5 100 Units kN kN kN/m kNm P₁ and P₂ are both time-varying loads and the values quoted are for weekly readings, taken over one year. Determine the reliability index against bending failure for a time period of fifty years.

A simply supported beam has a span of 6 m and a moment of resistance Mr. The beam carries a uniform load, including its own weight, w,, and a central point load is the sum of two loads, P₁ and P₂. The details of the various design parameters are as follows: Variable P₁ P2₂ Ws M₁ Symbol X₂ X3 X4 Mean 30 40 5 1100 s.d. 5 5 0.5 100 Units kN kN kN/m kNm P₁ and P₂ are both time-varying loads and the values quoted are for weekly readings, taken over one year. Determine the reliability index against bending failure for a time period of fifty years.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A simply supported beam has a span of 6 m and a moment of resistance Mr. The beam carries a uniform load, including its own weight, w,, and a central point load is the sum of two loads, P₁ and P₁. The details of the various design parameters are as follows: Variable P₁ P₂ Ws M₁ Symbol X₁ X₂ X3 X4 Mean 30 40 5 1100 s.d. 5 5 0.5 100 Units kN kN kN/m kNm P₁ and P₂ are both time-varying loads and the values quoted are for weekly readings, taken over one year. Determine the reliability index against bending failure for a time period of fifty years.
Transcribed Image Text:A simply supported beam has a span of 6 m and a moment of resistance Mr. The beam carries a uniform load, including its own weight, w,, and a central point load is the sum of two loads, P₁ and P₁. The details of the various design parameters are as follows: Variable P₁ P₂ Ws M₁ Symbol X₁ X₂ X3 X4 Mean 30 40 5 1100 s.d. 5 5 0.5 100 Units kN kN kN/m kNm P₁ and P₂ are both time-varying loads and the values quoted are for weekly readings, taken over one year. Determine the reliability index against bending failure for a time period of fifty years.
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