A two-stepped bar fixed at one end and subjected to an axial force F at the...

 

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A two-stepped bar fixed at one end and subjected to an axial force F at the other end is shown in Figure 3. The length of step i is l, and its cross-sectional area is A₁, All the steps are made of the same material with Young's modulus E₁ = E, i = 1, 2 i. ii. 111. Find the spring constant (or stiffness) k; of step i in the axial direction (i = 1,2). Find the equivalent spring constant (or stiffness) of the stepped bar, keq in the axial direction so that F = keqx Indicate whether the steps behave as series or parallel springs. A₁ 4₁ A₂ -12 Figure 3: A stepped bar subjected to axial force A two-stepped bar fixed at one end and subjected to an axial force F at the other end is shown in Figure 3. The length of step i is l, and its cross-sectional area is A₁, All the steps are made of the same material with Young's modulus E₁ = E, i = 1, 2 i. ii. 111. Find the spring constant (or stiffness) k; of step i in the axial direction (i = 1,2). Find the equivalent spring constant (or stiffness) of the stepped bar, keq in the axial direction so that F = keqx Indicate whether the steps behave as series or parallel springs. A₁ 4₁ A₂ -12 Figure 3: A stepped bar subjected to axial force