Question 2 (10 points) For the rod loaded axially as shown in the Figure, determine the axial displacement of the free end. Let E-30 x 10 psi, A 2 in2, and L-60 in. Use the finite element stiffne...
For the rod loaded axially as shown in the Figure, determine the axial displacement of the free end. Let E-30x 10s psi, A 2 in2, and L 60 in. Use the finite element stiffhess method.
For the rod loaded axially as shown in the Figure, determine the axial displacement of the free end. Let E-30x 10s psi, A 2 in2, and L 60 in. Use the finite element stiffhess method.
Finite element problems
For the bar elements shown in Figure P3–16, the global displacement have been deter- mined to be up = 0.5 in., V = 0.0, uy = 0.25 in., and V2 = 0.75 in. Determine the local x' displacements at each end of the bars. Let E = 12 x 106 psi, A = 0.5 in?, and L = 60 in. for each element. 45° 30° (a) (b) - Figure P3–16
Please show all work for each step taken. Thank You.
y loaded rod shown with area-2 in2, modulus E-10E6 psi, lengths: LAB-6 in and Lac- 12 lb and Fc 40 lb find the axial stress in sections AB and BC of the rod and the deflection at point C (2 points each).
y loaded rod shown with area-2 in2, modulus E-10E6 psi, lengths: LAB-6 in and Lac- 12 lb and Fc 40 lb find the axial stress in sections AB...
t is given that E 29.5 x 10 psi and 3- Consider the four-bar truss shown in the figure below Ae 1 in2 for all elements (a) Determine the element stiffness matrix for each element. (b) Assemble the global stiffhness matrix for the entire truss. (c) Using the elimination approach, solve for the nodal displacement. (d) Calculate the reaction forces (25 points) 25000 lb 4 4 30 in. 2 20000 lb _40 in.
2) (30 points) The 2-segment bar shown below is loaded by an axial force f(x) and is fixed at both ends. Develop the finite element model of the bar using two linear elements. Note that the 3 nodes are shown and labeled. Use the following data: Ej = E2 = 200 GPa Aj = 0.01 m² A2 = 0.005 m² Li = L2 = 1 m f(x) = 3e7.x N/m HX f(x) - - 1 E1, A1,47 - - 2...
For the truss shown in the below figure, determine the stifness
matrix for each truss element, the stiffness matrix for entire
truss, the displacements at nodes 1 through 4, and the force in
elements 1 through 5. Also, determine the force in each element.
Let A = 3 in2, E = 30 x 106
psi for all elements.
8 kips 8 kips 10 ft. 3 4 2 トー-10ft.-*-10 ft.
Solve all problems using the finite element stiffness method. For the rigid frame shown in Figure P5-4, determine (1) the nodal displacements and rotation at node 4, (2) the reactions, and (3) the forces in each element. Then check equilibrium at node 4 Finally, draw the shear force and bending moment diagrams for each element. Let E 30x 103 ksi, A 8 in2, and I 800 in.4 for all elements. 20 kip 25 ft 25 ft 40 ft Figure P5-4...
Problèm GIVEN b 2) Three rod elements shown above are stress free when they are assembled together and attached to the rigid walls A and D. Element (1) is steel with E1 30 x 103ksi, cross - sectional area Ai - 2.0 in, length L1-80 in and coefficient of thermal expansion α1=7x10-6/0F; the corresponding values for the aluminum element (2) are: E2 10 x 103ksi, A2-3.6 in, L,- 60 in, a2 13 x 10-6/oF; the corresponding values for the bronze...
For the bar subjected to axial load shown in Figure 1 to 2, determine the nodal displacements and Reaction Force. Let Area = 2in^2, E= 30E6 psi = p(x) 300 lb/in 2 3 30 in 60 in x Figure 1 P(x) = 10x lb/in 2 3 30 in 60 in Figure 2.
Problem 2: A horizontal bar is loaded with axial loads at points B, C, and D, as shown in the figure. The bar is made of steel with a modulus of elasticity E = 29 x 106 psi. The bar has a cross-sectional area of 10 in?. Calculate the total change in length of the bar and state if the bar will elongate or shorten. Ignore the weight of the bar (not shown). A B с D 30 in 30...