25 pts. aj For the statically indeterminate truss, choose a primary structure of the Force Method...
KHW 9: force method Force Method of Analysis: Frames 2 of 5> statically indeterminate. Choosing S and Cy as the redundant forces leads to the superposition shown. The flexibility coefficient Bo relates the deflection at point B to the redundant force at C The compatibility equations are written by requiring the displacements at the redundant locations to be consistent between the real beam and the model formed by the superposition of the statically determinate beams. Part A -Deflection of th...
*use the flexibility method to solve for the required values in the statically indeterminate structure. Compute the reaction and bar forces considering the 150 kip downward load at E and a temperature increase of 50°F; the coefficient of thermal expansion α-6x1 0-6 (inin)/°F.. Use EA constant for all members. Consider the reaction at Rox as the redundant. Note that the temperatures are real 30 loads and their effect should be considered in CASE 0- base structure with real loads. 150...
3) Statically Indeterminate Truss (15 pts). For the truss shown below all the members have elastic modulus E, normal failure stress σ, shear failure stress τ, and cross-sectional area A. All answers should be given in terms of P, W, A, E, σ, and/orT5 (a - 10 pts) Solve for the reaction forces at points B and D and the magnitude of the deflection of point C (b - 5 pts) Given a safety factor of 1.5, write an expression...
Question 2 (15 points): Tension, Compression and Zero-Force Members in a Truss Structure. Consider the truss structure shown in Figure 2. 3P (kN) P (kN) I LI LL Figure 2: Elevation view of 27 bar truss structure. Vertical loads of 3P kN and P kN are applied at nodes B and D, respectively. [2a) (3 pts). Compute the magnitude and direction of the total support reactions at points A and C. [25] (3 pts). Identify the zero-force members (If you...
3 Figure 3 shows a statically indeterminate Wo structure. Using the integration method together with elastic curve theory, determine :- A a) Equation of the shear force. [3 marks] bord b) Equation of the bending moment. [2 marks] - L- c) Equation of the slope [3 marks] Figure 3 d) Equation of the deflection [3 marks] e) Determine the forces at points A and B. [2 marks] f) The slope and deflection at x = L/2 [2 marks] Note: No...
Learning Goal: To solve for forces in statically indeterminate bars with axial loads. Part A-Force with a known deflection When the number of reaction forces is greater than the number of equilibrium equations, the system is statically indeterminate. Solving for the reactions requires some additional equations. These additional equations come from considering compatibility relationships (i.e., continuity of displacements and relationships between displacements and loads). The square bar shown (Figure 1) is 72.5 mm thick and 3.6 m long and is...
Learning Goal: To solve for forces in statically indeterminate bars with axial loads. Consider a new structure, where the thickness of the bar is reduced to 32.5 mm from C to B (it is still square) (Figure 2) and <= 3.75 m. If the applied load is F - 370 kN , then what is the reaction at ? Let a positive reaction act to the right. The total length is still 6 m Express your answer with appropriate units...
hw help Srewuss you For the given frame, choose a primary structure of the Force method. Construct the diagrams of mi, m2, and M. (Don't compute the displacements.) Assume a = 12 ft, b = 8 ft, h - 6 ft, P = 10 k, Q - 7 k, EI - const. 30 pt A
QUESTION 1 [25 marks A frame loaded with a uniformly distributed load at Member AB and point load at Member BC and joint B. It has pinned supports A and C, while joint B is fixed connected, as can be seen in Figure 1. Take E-200 GPa. a) Using the slope-deflection method, calculate the moments and illustrate the bending moment diagram. [15 marks) b) Then calculate the shear forces and sketch the shear force diagram. [10 marks) 22 KN 10...
(9 pts each) For problems 13-17 solve each problem by any method you choose. Be sure to support your method by including any equations, graphs, or sketches used to help solve the problems. Also be sure to show or explain all your work. Round your answers to the nearest hundredths when appropriate. Be sure to label your answers. 13. In order to measure the height of a certain tree, Ryan paces outward from the base of the tree 14.8 feet....