Download JNTUK M-Tech 2020 R19 Civil 1102 Structural Dynamics Model Question Paper

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[M19 ST 1102]

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I M. Tech I Semester (R19) Regular Examinations

STRUCTURAL DYNAMICS

(STRUCTURAL ENGINEERING)

MODEL QUESTION PAPER

TIME: 3 Hrs. Max. Marks: 75

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Answer ONE Question from EACH UNIT

All questions carry equal marks

UNIT -1

1. a). A vertical cable 3m long has a cross section area of 4 cm² supports a weight of 50 KN. What will be the natural period and natural frequency of the system? E=2.1x10⁶kg/cm² (5M)
   b). Determine the natural frequency and natural period of the system consisting of a mass of 100 kg attached to a horizontal cantilever beam through the linear spring K1. The cantilever beam has a thickness of 0.8 cm and a width of 1.2 cm. E=2.1x10⁶ L=70 cm and k =10kg/cm (10M)

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OR

1. a). Explain i) Degree of Freedom ii) Damping Structures (5M)
   b). Explain Logarithmic decrement and derive Expression for the same (10M)

UNIT - II

1. a). Derive expression for response of SDOF system subjected to un damped free vibration (10M)
   

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   b). A single degree of freedom system having a mass of 2.5kg is set into motion with the viscs damping and allowed to oscillate freely. The frequency of oscillation is found to be 20 Hz and measurement of the amplitude shows two successive amplitudes to be 6 mm and 5.5 mm. Determine the viscs damping Coefficient. (5M)

OR

1. a). A SDOF system consists of a mass 400kg and a spring stiffness of 300KN/m. By testing it was found that a force of 100N Produces a relative velocity 12 cm/s. Find a) damping ratio, b) damped frequency c) logarithmic decrement and d) ratio of two consecutive amplitudes (5M)
   b). Derive expression for response of SDOF system subjected to damped free vibration (10M)

UNIT - III

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1. a). Derive the equation of motion of Multi Degree freedom systems (MDOF) (15M)

OR

1. a). State and explain orthogonality principle of normal modes (5M)
   b). A cantilever bar is to be modelled by a mass less uniform bar to which are attached with two lumped masses representing the mass of original system as k= 2AE/L and m=? AL. Determine the natural frequencies and the normal modes of this model (10M)

UNIT - IV

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1. a). Explain Stodola method (5M)
   b). Explain mode Superposition method (10M)

OR

1. a). Find the natural frequencies and sketch mode shapes for uniform beams simply supported at both ends (10M)
   b). Explain Holzer method (5M)

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UNIT - V

1. a). Explain the Lumped SDOF Elastic Systems, Translational excitation (15M)

OR

1. a). Explain the Generalised co ordinate SDOF Elastic Systems, Translational Excitation (15M)

CO: Crse tcome

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KL: Knowledge Level

M: Marks

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