The bolt represented below is a 7/8 - 13 SAE Grade 5 bolt. Steel washers, each 1

Question

The bolt represented below is a 7/8 - 13 SAE Grade 5 bolt. Steel washers, each 1/16" thick are placed below the bolt head and above the 55/64" nut. The material that is being fastened is No. 40 Cast Iron (E = 16Mpsi). The load varies on this joint between a minimum of 5000 lbs and a maximum of 20,000. The bolt has been pre-loaded to a value of F 1 = 20000 lb. Size the length of the bolt, L What is the bolt's stiffness, k ? What is the material's stiffness, k m? What is the joint stiffness constant, C? What is the factor of safety against yielding of this bolt, n p? What is the factor of safety against overloading, n ? What is the joint separation factor of safety, n o? What is the factor of safety against fatigue, n ?

Explanation / Answer

Kb=KtKd/(Kt+Kd) Kt=At*E/lt Kd=Ad*E/ld At=tensile-stress area Ad=major-diameter area of fastener lt=length of threaded portion of grip ld=length of unthreaded portion in grip E=Modulus of Elasticity

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