4. The system on the right consists of three solid circular cross-section rods 1, 2 and 3. All are made from the same material with a Young's modulus of E. Forces 2P and P act at connectors C and D. Assume that as the system deforms, the connectors C and D are allowed to translate but not rotate. Assume the weight of the rods is small compared to the loads and can therefore be neglected. 1. Is this system determinate or indeterminate? 2. Write down the equilibrium force and momentum equations for connectors C and D hint: draw the FBD for C and D 3. Write the elongation equations relating the elongations to axial loads for each the three rods. 4. Write down the compatibility equations relating the elemental elongations in the rod system. 5. Solve for the axial loads in each element. State whether each element is in tension or compression. 2d (3) 3L 2P P D L 24 (2) 4d C (1) - 4d B

4. The system on the right consists of three solid circular cross-section rods 1, 2 and 3. All are made from the same material with a Young's modulus of E. Forces 2P and P act at connectors C and D. Assume that as the system deforms, the connectors C and D are allowed to translate but not rotate. Assume the weight of the rods is small compared to the loads and can therefore be neglected. 1. Is this system determinate or indeterminate? 2. Write down the equilibrium force and momentum equations for connectors C and D hint: draw the FBD for C and D 3. Write the elongation equations relating the elongations to axial loads for each the three rods. 4. Write down the compatibility equations relating the elemental elongations in the rod system. 5. Solve for the axial loads in each element. State whether each element is in tension or compression. 2d (3) 3L 2P P D L 24 (2) 4d C (1) - 4d B

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter10: Virtual Work And Potential Energy

Section: Chapter Questions

Problem 10.7P: The linkage is made of two homogenous bars of weights shown in the figure. Determine the horizontal...

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