Task 1 - Analysis of a truss for deflectionThe truss shown in Figure 1 carries a load of 'P' kN Analyze the truss system using the unitload method and determine the deflection at the node C for the given loads.Consider E = 210 kN/mm²; I = 60X106 mm4, A = 200 mm².AFEP KN|x3|t-x1 x2.BFigure 1 TrussIdentify the zero force members and discuss how the members play a role, if any, in the stabilityof the truss with proper justification.

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Answered: Task 1 - Analysis of a truss for…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Using Castigliano's Second Theorem. For the truss shown in the figure, Members AB, BC, CD, & AD have a cross-sectional area of 3 in2. Member BD have has a cross-sectional area of 4 in2. Modulus Elasticity for all members is 29 million pounds per square inch. If the value of P1 is 40 kips and P2 is 20 kips, determine the vertical deflection at B (in) and horizontal deflection at D (in). Put a negative sign if the reaction is downward or left direction.
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A truss is shown to carry a load P as indicated. Given that the maximum allowable compressive force is 2.0 kN and the maximum allowable tensile force is 3.0 kN. Solve the maximum value of P that can be applied taking L=2m and angle ACD = 30.
pls provide free body diagram and detailed solution. thank you!
A simple truss supports a force F at joint A, as shown in the figure below. The force has a magnitude F and is inclined by an angle 0 = 60° from the horizontal. The lengths for all horizontal members is s = 8 m and for all vertical members is h = 3 m. The truss is held in equilibrium by a pin at point E and a roller at point F. Using the method of joints, determine the largest applied force Fmaz so that the force in each truss member does not exceed +1600 kN. Note: Express tension forces as positive (+) and compression forces as negative (-). F 0 Fmaz= + A B D NA F S number (rtol-0.01, atol-1e-05) S kN S E h
Figure Q1 shows a statically determinate plane truss subjected to a verticalconcentrated load at C and E. The truss is made using steel with Modulus of Elasticity is210 GPa, and the cross section area for all members are 30 mm2. Assuming P is the 10 and a is half of P, determine the vertical displacement at F. Thesolution can be based on Method of Conservation Energy or Method of Virtual Work.
Learning Goal: To solve for forces in statically indeteminate bars with axial loads The square bar shown (Figure 1) is 70 mm thick and 4.8 m long and is fixed supported at both ends. Aload directed leftward s appled at point C, as shown, La =3.02 m from the left end. The modulus of elasticity is E = 100 GPa if point C maves 8 = 0 175 mm to the left what is the applied force? When the number of reaction forces is greater than the number of equilitrium equations, the system is Express your answer with appropriate units to three significant figures. statically indeteminste Solving for the reactions requires some additional equations. These additional View Avallable Hint(s) equations come from considering compatibility relationships (1e, continuity of displacements and relationships berween displacements ana ioads). For an axially loaded member, the compatibility relationship for the deflections can be written by setting the total relative axial displacement between the ends of the member…
The space truss shown below is made of steel (E = 30×10 psi). The cross- sectional area of each member is 2.0 in² find the maximum deflection, the maximum and minimum stresses and forces in the truss, and the reaction forces at supports. Verify your results. If the second moment of π᾽ΕΙ inertia I = 0.9 in, do you think that buckling will occur? (Per hind: apply constraints at Joint A, B, and C. Coordinate of joints are G (0,0,144) in, A(24,-36,0) in, B(24,36,0) in, C(-48,36,0) in. (units: use lb, in) 1² X {-500k) Ib (200) Ib E с 6 ft 6 ft 4 ft ·),
A truss is subjected to loads as shown. Assume AE is constant and use virtual work method for deflection of truss. 4m 120 KN B A TINT 3m EA = constant E = 200 G Pa 2 A = 1,500 mm Find the vertical deflection at B in mm
In the following problems solve the value of internal force member in thetruss using the method of Joint. Show the free body diagram (FBD) in every joint you solve. State whether each member is in TENSION (T) or COMPRESSION (C)

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