Calculating Safety Factors and Reliability

The video tutorial explains a problem involving a cantilever beam made of plain carbon steel. It covers the beam's material properties, including yield strength and bending stress, and provides a step-by-step guide to calculating the margin of safety, reliability, and factors of safety using normal distribution and statistical formulas.

What material is the cantilever beam made of in the problem?

• Titanium

• Stainless steel

• Plain carbon steel

• Aluminum

What is the mean yield strength of the beam?

• 280 Newton per mm square

• 200 Newton per mm square

• 180 Newton per mm square

• 218 Newton per mm square

What is the standard deviation of the bending stress applied to the beam?

• 40 Newton per mm square

• 20 Newton per mm square

• 44 Newton per mm square

• 30 Newton per mm square

Which formula is used to calculate the margin of safety?

• M = Sigma - S

• M = S - Sigma

• M = S * Sigma

• M = S + Sigma

What is the calculated mean margin of safety?

• 150

• 200

• 50

• 100

What is the reliability percentage of the beam?

• 95.5%

• 99.5%

• 98.75%

• 97.5%

What is the Z value used to calculate the reliability?

• -1.64

• -2.58

• -2.24

• -1.96

How is the minimum factor of safety calculated?

• Minimum strength divided by maximum stress

• Minimum stress divided by maximum strength

• Maximum strength divided by minimum stress

• Average strength divided by average stress

What is the minimum factor of safety calculated in the problem?

• 0.75

• 0.68

• 0.87

• 0.95

What is the formula for the average factor of safety?

• Maximum strength divided by minimum stress

• Mean stress divided by mean strength

• Minimum strength divided by maximum stress

• Mean strength divided by mean stress