Clamp Golden
June 28th, 2009 | 
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2 Physics Questions see if you can solve?
A structural steel bar 1m long and 1cm square is heated to 150C and its ends are then rigidly clamped. What is the force (newtons) on the clamps developed by the bar as it cools 20C?
The suspension span of the Golden Gate Bridge is 4200ft long. Find the total expansion of the bridge 4200ft long. Find the total expansion of the bridge (in) as the temperature changes from 40 to 85F.
The change in length of the bar due to temperature:
&1=(T2-T1)*Length*(temperature constant of material)
so &1=(20*1)k
(k is usually represented as the greek letter 'alpha' for temperature
constant of specific material)
The bar doesn't change it's length, so that means the force that will keep the bar at zero deformation will be equal to whatever the deformation would of been due to the temperature.
&2=(P*L)/(A*E)
So &1=&2 therefore (P*L)/(A*E)=20*k
Solve for P and you get P=(A*E*20*k)/L= (E*20*k*(pi*.01^2))/1
You'll need E(young modulous) and k(temperature constant)
prob2
&1=tempchange*L*k therefore &1=45*4200*k
solve for &1, which is your answer-- Assuming you were given k
Good luck.
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