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A 40-kg platform is attached to the end B of a 50-kg
Chapter 1, Problem 1.57(choose chapter or problem)
A 40-kg platform is attached to the end B of a 50-kg wooden beam AB, which is supported as shown by a pin at A and by a slender steel rod BC with a 12-kN ultimate load. (a) Using the Load and Resistance Factor Design method with a resistance factor \(\phi=0.90\) and load factors \(\gamma_{D}=1.25 \text { and } \gamma_{L}=1.6\), determine the largest load that can be safely placed on the platform. (b) What is the corresponding conventional factor of safety for rod BC ?
Questions & Answers
QUESTION:
A 40-kg platform is attached to the end B of a 50-kg wooden beam AB, which is supported as shown by a pin at A and by a slender steel rod BC with a 12-kN ultimate load. (a) Using the Load and Resistance Factor Design method with a resistance factor \(\phi=0.90\) and load factors \(\gamma_{D}=1.25 \text { and } \gamma_{L}=1.6\), determine the largest load that can be safely placed on the platform. (b) What is the corresponding conventional factor of safety for rod BC ?
ANSWER:
Step 1 of 10
We have to find the allowable live load in the trolley. Using the given combination of dead load and live load as a factor of safety, we will compute that allowable live load of trolley. Conventional factors of safety can be determined by simply taking the ratio of allowable load and sum of dead and live load applied.