Determine the nodal displacements and reaction forces using the finite element direct method for the 1-D bar elements connected as shown below. Do not rename the nodes or elements. Assume that bars can only undergo translation in x (1 DOF at each node). Nodes 1 and 4 are fixed. Elements 1, 2 and 3 have Young's Modulus of Ei=250 Pa, E2=100 Pa, E3=150 Pa. All elements have length of 1 m and cross-sectional area of 1.5 m². There is an applied external force acting at Node 2 of 20 N. 20 N Element 1 Element 2 Element 3 Node 2 Node 3 Node 1 Node 4

Q: Please explain each process as detail as possible. For the frame shown below, consider only the…

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Q: Note: Pi= 1000 lb and P:= 500 lb 4 ft 4 ft 4 ft 666 239 222

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Q: b) Determine the transformation matrix of all elements.

A:

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A: 1. Understanding the Four-Noded Bar ElementA four-noded bar element in one dimension has nodes at…

Q: 1) Given the structure below, answer the following questions Determine the local stiff stiffness…

A: E= 10000 ksi A= 8 in2

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Q: d) Assemble the system stiffness matrix (movable DOFs only)

A: Find: System stiffness matrix (movable DOF only)

Q: Determine the magnitude of the force on element BC if a force F = -71i kN is added at node B.

A: AB=32+1.252=3.25mBC=32+42=5mMA=0155×3-C(5.25)=0C=88.57kN Fx=0Ax-C=0Ax=88.57kNFy=0Ay=155kN

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A:

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A: Structural design is a highly specialised field of structural engineering. It very well may be…

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A: Applying the vertical equilibrium of forces acting on the rod AD Taking upward force as positive and…

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A: Method of Joints: Consider the free body diagram of the given truss as shown below. Consider the…

Q: The truss in Figure 4 is loaded as shown. Both the nodes 1 and 5 are hinged supports. Take P = 27.8,…

A:

Measuring site work, Excavation and Piling

Bid drawings typically include very little material about the precise requirements of site work operations, measuring site work and excavation work differs from measuring most other works on a construction project. The actual site work conditions are not provided and also the dimensions of the excavations are not known during the pre-construction phase. The precise measurement of the excavation and backfill of the earth material and topsoil is important for a contractor to decide upon the total cost required for the process. All the works should be carried out under OSHA (Occupational Safety and Health Administration) standards to ensure the safety of the workers.