A 10-m long steel linkage is to be designed so that it can transmit 2 kN of force without stretching more than 5 mm nor having a stress state greater than 200 N/mm2. If the linkage is to be constructed from solid round stock, what is the minimum required diameter?

minimum required diameter of the steel linkage is 3.57 mm

Explanation:

original length of linkage l = 10 m

force to be transmitted  f = 2 kN = 2000 N

extension e = 5 mm= 0.005 m

maximum stress σ = 200 N/mm^2 =

maximum stress allowed on material σ = force/area

imputing values,

200 = 2000/area

area = 2000/() = m^2

recall that area =

= =

=

= m = 3.57 mm

maximum diameter of  the steel linkage d = 3.57 mm

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