MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 2.2, Problem 2FP
If the force P causes the rigid arm ABC to rotate clockwise about pin A through an angle of 0.02°, determine the normal strain in wires BD and CE.
F2–2
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Chapter 2 Solutions
MECHANICS OF MATERIALS
Ch. 2.2 - When force P is applied to the rigid arm ABC,...Ch. 2.2 - If the force P causes the rigid arm ABC to rotate...Ch. 2.2 - The rectangular plate is deformed into the shape...Ch. 2.2 - The triangular plate is deformed into the shape...Ch. 2.2 - The square plate is deformed into the shape shown...Ch. 2.2 - Prob. 2PCh. 2.2 - The square deforms into the position shown by the...Ch. 2.2 - Prob. 9PCh. 2.2 - Prob. 13PCh. 2.2 - Part of a control linkage for an airplane consists...
Ch. 2.2 - Prob. 16PCh. 2.2 - A thin wire, lying along the x axis, is strained...Ch. 2.2 - The corners of the square plate are given the...Ch. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - The polysulfone block is glued at its top and...Ch. 2.2 - The rectangular plate is deformed into the shape...Ch. 2.2 - The rectangular plate is deformed into the shape...Ch. 2.2 - The nonuniform loading causes a normal strain in...Ch. 2.2 - The fiber AB has a length L and orientation . If...Ch. 2.2 - If the normal strain is defined in reference to...
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- Consider the bar, shown in Figure 1 that undergoes axial displacement due to both a distributed load and a point force. The bar is of cross-sectional area A = 1.10-3 m², and has a modulus of elasticity E = 100 GPa. 1(x) = 5 kN/m x=0.0 x=2.0 2.0m 10 kN Figure 1: Bar domain with varying distributed forces. a) The general form of the governing equations describing the bar's displacement, u(x), is given by, d (AE du(x)) -) +1(x) = 0. d.x dx What are the accompanying boundary conditions for this bar? b) Using the mesh in Figure 2, form the basis functions associated with element 2 and write the FEM approximation over the element. 1 2 3 1 2 1m 1m Figure 2: Mesh of 2 elements. Elements are numbered with underlines. c) The general form of the element stiffness matrix system, with nodes indexed by i and j, is, AE Uj N;(x)l(x)dx – Ng(0)f(0) ¥ [4]}]{{}}={{{}\(\\+} + {N(2)f(2) = N (0)5() }, (1) 0, respectively. L = (2) where f(2) and f(0) denote the boundary forces at positions x 2 and x Evaluate…arrow_forwardanswer pleasearrow_forwardamination) Question 1 Consider the bar, shown in Figure 1, that undergoes axial displacement due to both a distributed load and a point force. The bar is of cross-sectional area A = 1.103 m2, and has a modulus of elasticity E = 100 GPa. 1(x) = 5 kN/m 10 kN X x=0.0 x=2.0 2.0m Figure 1: Bar domain with varying distributed forces. a) The general form of the governing equations describing the bar's displacement, u(x), is given by, d (AE du(x)) + 1(x) = 0. dx dx What are the accompanying boundary conditions for this bar? MacBook Air a 会 DII F5 F6 F7 F8 80 F3 F4 0/ 20 [8 marksl 8 FOarrow_forward
- show workingarrow_forwardCFD help Figure 3: Advection equation, solution for three different timesteps. Q1) Provide an explanation what conditions and numerical setup could explain the curves. Identify which of the three curves is the first, second and third timestep.arrow_forwardanswer pleasearrow_forward
- Figure 3 shows the numerical solution of the advection equation for a scalar u along x at three consecutive timesteps. 1.0 0.8- 0.6 0.4- 0.2 0.0 00 -0.2 -0.4 -0.6- 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 Figure 3: Advection equation, solution for three different timesteps.arrow_forwardQuestion 2 Figure 3 shows the numerical solution of the advection equation for a scalar u along x at three consecutive timesteps. 1.0 0.8- 0.6- 0.4- 0.2- 0.0- -0.2- -0.4- -0.6 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 Figure 3: Advection equation, solution for three different timesteps. a) Provide an explanation what conditions and numerical setup could explain the curves. Identify which of the three curves is the first, second and third timestep. b) Consider explicit schemes with central and upwind discretisations. Explain how each of these candidate discretisations could produce the behaviour shown in Figure 3. c) Determine the CFL number that was used in the simulation for each of the candidate schemes for all possible updates. Assume that the timestep and mesh-width used are constant. Read the data to two digits of accuracy from Figure 4 shown at the end of the question, which is an enlarged version of Figure 3. Demonstrate your method and input data for one calculation, but then use a…arrow_forwardanswer pleasearrow_forward
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