Calculate the temperature gradient in the element

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Reference no: EM131349808

A one-dimensional linear element is used to approximate the temperature variation in a fin. The solution gives the temperature at two nodes i and j of an element as 100 and 80°C respectively. The distance from the origin to node i is 6 cm and to node j is 10 cm. Determine the temperature at a point 9 cm from the origin. Also, calculate the temperature gradient in the element. Show that the sum of the shape functions at the location 9 cm from the origin is unity.

Reference no: EM131349808

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