A long, thin bar ( alpha, L_0) is clamped rigidly at its ends at temperature theta_0. When the temperature ( theta )is increased, the expanding bar will bow out as shown. If the bowing is not too large, a fair first approximation to the shape of the bar is two equal straight segments in the form of a wide V. The arc of the bow (elevation) y_0 as a function of theta is expressed as y_0= ( L_0)/( 2) sqrt( K alpha ( theta - theta_0) ) where K=______

A long, thin bar ( alpha, L_0) is clamped rigidly at its ends at tempe

1.	A long, thin bar ( alpha, L_0) is clamped rigidly at its ends at temperature theta_0. When the temperature ( theta )is increased, the expanding bar will bow out as shown. If the bowing is not too large, a fair first approximation to the shape of the bar is two equal straight segments in the form of a wide V. The arc of the bow (elevation) y_0 as a function of theta is expressed as y_0= ( L_0)/( 2) sqrt( K alpha ( theta - theta_0) ) where K=______
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