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# Note for Structural Analysis-1 - SA-1 By Engineering Kings

• Structural Analysis-1 - SA-1
• Note
• Civil Engineering
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Engineering Kings
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FMCET CE6501 – STRUCTURAL ANALYSIS FMCET 1 UNIT – I UNIT I INDETERMINATE FRAMES 9 Degree of static and kinematic indeterminacies for plane frames - analysis of indeterminate pin-jointed frames - rigid frames (Degree of statical indeterminacy up to two) - Energy and consistent deformation methods. S.NO 2 MARKS PAGE NO 1 Why it is necessary to compute deflections in structures? 4 2 What is meant by ‘cambering technique, in structures? 4 3 Name any four methods used for the computation of deflections in structures. State the difference between strain energy method and unit load method in the determination of deflection of structures. What are the assumptions made in the unit load method? 4 4 10 Give the equation that is used for the determination of deflection at a given point i in beams and frames. The horizontal displacement of the end D of the portal frame is required. Determine the relevant equations due to the unit load at appropriate point. Due to load at B in the truss in fig. the forces in the members are as under. Determine the horizontal displacement of B by unit load method. Determine the rotation of the curved beam in fig. due to a moment Mo, by unit load method. State the Principle of Virtual work. 11 Sketch the Williot’s Diagram for the truss in fig. to find ∆B. 6 12 What is the strain energy stored in a rod of length l and axial rigidity AE to an axial force P? Define Virtual work. 7 4 5 6 7 8 9 13 14 15 16 17 Explain the procedure involved in the deflection of pin jointed plane frames. In the truss shown in fig. no load acts. The member AB gets 4mm too short. The cross sectional area of each member is A = 300 mm2 and E = 200 GPa. Determine the vertical displacement of joint C. Using the method of virtual work, determine the vertical displacement of point B of the beam shown in fig. Take E = 2x 105 MPa and I = 825x 107 mm4. Table shows the lengths and deformations of the members of the cantilever truss, shown in fig. Construct a Williot’ diagram and tabulate the displacement of nodes. DEPARTMENT OF CIVIL ENGINEERING/ FMCET 4 4 5 5 6 6 7 7 7 8 9

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FMCET S.NO 1 2 3 4 5 6 7 CE6501 – STRUCTURAL ANALYSIS FMCET 2 16 MARKS Determine the vertical displacement of joint C of the steel truss shown in fig. The cross sectional area of each member is A = 400 mm2 and E = 2*105 N/mm2. Using the principle of virtual work, determine the vertical and horizontal deflection components of joint C of the truss in fig. A = 150*10-6 m2 and E = 200*106 kN/m2 Determine the vertical and horizontal displacements of the point C of the pin-jointed frame shown in fig. The cross sectional area of AB is 100 sqmm and of AC and BC 150 mm2 each. E= 2 x 10 5 N/mm2. (By unit load method) Using the principle of least work, analyze the portal frame shown in Fig. Using the method of virtual work, determine the horizontal displacement of support D of the frame shown in fig. The values of I are indicated along the members. Take E = 200 x 106 KN/m2 and I = 300 x 10-6 m4. Using the method of virtual work, determine the horizontal displacement of support D of the frame shown in fig. The values of I are indicated along the members. Take E = 200 x 106 KN/m2 and I = 300 x 10-6 m4. Using the method of virtual work, determine the horizontal displacement of support D of the frame shown in fig. The values of I are indicated along the members. Take E = 200 x 106 KN/m2 and I = 300 x 10-6 m4. DEPARTMENT OF CIVIL ENGINEERING/ FMCET PAGE NO 11 15 18 20 23 24 26