Question

Question # 3 (25 Marks) A stepped bar is made of a material having Young's modulus E=200 GPa. It is subjected to an axial load of F=35 KN as shown in the figure Question 3. Draw an equivalent finite element model using the spring elements. Determine the nodal displacements, reactions and stresses in the elements. A\textsubscript{1}=400 mm\textsuperscript{2} A\textsubscript{2}=300 mm\textsuperscript{2} A\textsubscript{3}=200 mm\textsuperscript{2} Figure Question 3

          Question # 3 (25 Marks)
A stepped bar is made of a material having Young's modulus E=200
GPa. It is subjected to an axial load of F=35 KN as shown in the
figure Question 3. Draw an equivalent finite element model using
the spring elements. Determine the nodal displacements, reactions
and stresses in the elements.
A\textsubscript{1}=400 mm\textsuperscript{2}
A\textsubscript{2}=300 mm\textsuperscript{2}
A\textsubscript{3}=200 mm\textsuperscript{2}
Figure Question 3

Question # 3 (25 Marks)
A stepped bar is made of a material having Young's modulus E=200
GPa. It is subjected to an axial load of F=35 KN as shown in the
figure Question 3. Draw an equivalent finite element model using
the spring elements. Determine the nodal displacements, reactions
and stresses in the elements.
A1=400 mm2
A2=300 mm2
A3=200 mm2
Figure Question 3

Added by David J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Sikandar Baig

Step 1

Since the bar has three different cross-sectional areas, we will represent each section with a separate spring element. Let's label the nodes as follows: Node 1: Left end of the bar Node 2: Right end of the first section (A = 400 mm^2) Node 3: Right end of the Show more…

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Question #3 (25 Marks): A stepped bar is made of a material having Young's modulus E = 200 GPa. It is subjected to an axial load of F = 35 kN, as shown in Figure 3. Draw an equivalent finite element model using spring elements. Determine the nodal displacements, reactions, and stresses in the elements. A = 400 mm, A = 300 mm^2, A = 200 mm. Figure 3: [Insert the figure here]