Dimension units are inches. The left-end face is fully fixed, and a tensile load of 200,000 ¡bf ¡: applied uniformly on the right-end face.

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Dimension units are inches. The left-end face is fully fixed, and a tensile load of 200,000 ¡bf ¡: applied uniformly on the right-end face. The bar is made of gray cast iron at 200F. Create an approximate model of the axially loaded tapered rod with five spring elements of equal length. The cross-section area should be constant throughout an element. Keep the z dimension constant for all five elements. The x dimension will be constant over an element, but each element will have a different y dimension. The y dimension is the average of the tapered rod y dimension over the length of each of the 1/5-length bar elements. Use the

notation of Ui for the displacement at node 1, which is the node at the restraint on the left end of the bar. Draw the 1D spring-element model. Number all of the nodes. Show the spring constants and their subscripts for each spring element. Show the force with an arrow attached to the appropriate node. Show the restraint attached to the appropriate node. Show the positive direction with a label and arrow. Show the location of the displacements and differentiate between them with subscripts. Hint: For Youngs Modulus of Elasticity, use this website:htt9s;u/wwwengjfleerjfltooIboxco, 773. 

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