$A c a s t i r o n c y l i n d e r h e a d i s f a s t e n e d t o a c y l i n d e r o f b o r e 500 m m w i t h 8 s t u d b o l t s . T h e m a x i m u m p r e s s u r e i n s i d e t h e c y l i n d e r i s 2 M P a . T h e s t i f f n e s s o f p a r t s h e l d t o g e t h e r b y b o l t s i s 3 t i m e s t h e s t i f f n e s s o f b o l t . T h e i n i t i a l l o a d o n b o l t s u c h t h a t t h e j o i n t s e p a r a t e s a t m a x i m u m p r e s s u r e i s$

98.12 k N

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49.04 k N

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36.82 k N

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60 k N

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Solution

The correct option is C $36.82 k N$
$F = 2 \times \frac{π}{4} \times D^{2} = 2 \times \frac{π}{4} \times 500^{2} F = 392699.08 L o a d o n e a c h b o l t (F_{e x t}) = \frac{F}{8} = 49087 N C = \frac{k_{b}}{k_{b} + k_{c m}} = \frac{1}{4} F o r j o i n t s e p a r a t i o n (r) l e a k p r o o f j o i n t F_{c m} = 0 - F_{i} + (1 - C) F_{e x} = 0 F_{i} = (1 - \frac{1}{4}) \times 49087 = 36.82 k N$

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0.002 m^{3} / s e c .

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