It is observed experimentally that the amplitude of free vibration of a certain structure modelled as a single degree of freedom system, decreases from 1.0 to 0.4 in 10 cycles. What is the percentage of critical damping? (Take In 2 = 0.693 and In 10 = 2.303)

It is observed experimentally that the amplitude of free vibration of a certain structure modelled as a single degree of freedom system, decreases from 1.0 to 0.4 in 10 cycles. What is the percentage of critical damping? (Take In 2 = 0.693 and In 10 = 2.303)

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter15: Experimental Methods

Section: Chapter Questions

Problem 8ETSQ

See similar textbooks

Related questions

Q: A map scale is listed as 1:1200 The length of each division on the engineers scale is equal to: 1-ft…

A: Given- Map scale = 1:1200

Q: Based on a Greenshields' model with a jam density of 120 vpmpl and a free flow speed of 60 mph,…

Q: For a soil specimen, the following soil properties are known: saturated unit weight γ = 19.1 kN/m ,…

A: Given Data Saturated unit weight of soil (Ysat) = 19.1 KN/m3 Void ratio (e) = 0.45 Unit weight of…

Q: A steel plate 120 mm wide bent into a circular arc is the maximum arc of radius 10 m. What maximum…

Q: Problem 813 Determine the moment over the support R₂ of the beam shown in Fig. P-813.

A: Given data : We are asked to determine the moment over the support R2 of the beam ?

Q: A large tank (left side), filled with pressurized water, fills another large tank (right side) open…

A: To find - The depth of water in second tank

Q: The rigid block of mass M is supported by the three symmetrically placed rods. The ends of the rods…

Q: *6-48. Determine the force in members JK, CJ, and CD of the truss and state if the members are in…

Q: The assembly shown is composed of a steel shell and an aluminum core that has been welded to a rigid…

Q: 1. Compute for the given closed traverse the following: a. Bearing of each line b. Latitude and…

Q: 1. Traverse lines MN, NO, OP, are centerlines of a portion of a proposed highway. Respectively, the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Kk.264

A: Areas where piping is dense, and therefore should be drawn to a larger scale for easier reading,…

Q: The compound beam is loaded with uniform dead load of 5 kN/m and a uniform moving load of 12 kN/m.…

Q: The solid shaft is supported by journal bearings at A and B that exert force components online in…

A: τall= 6 ksi To find- Smallest permissible diameter of shaft AB

Q: QUESTION 1 RING 1 RING 2 $5 MAJOR STREET $2 $6 BARRIER -Phase Number Protected Movement 43 MINOR…

A: A phase pair is defined as the pair that contains two phases within the same ring and same barrier…

Q: hat is the hydraulic radius of a stable canal carrying a discharge of 27 m³/s using Lacey's ethod ?…

Q: solutions together with parametric studies are included on the text website. Problems with the icon…

A: Given: Area, A = 200 m2 Height, h = 2.7 m air = 0.35 Velocity, v = 5 m/s To find: The flow capacity…

Q: Determine the angular acceleration of link CD if link AB has the angular velocity and angular…

A: Figure is as shown

Q: A sand with G, = 2.66 and e = 0.60 is completely dry. It then becomes wetted by a rising groundwater…

A: In dry condition The specific gravity of soil, G = 2.66 Void ratio of sand, e = 0.6 When the…

Q: QUESTION 3 If the free flow speed is measured in the field, you do not estimate fi BFFS and…

A: If the free flow speed is measured in field it requires estimation from BFFS and adjustment for lane…

Q: Q5. Determine the resultant magnitude of the hydrostatic force that water exerts on the wall along…

A: Solution:- Given data:- The width of wall (b) = 15 ft radius of arc (r) = 3 ft Length (L) = 2 ft To…

Q: A photographic survey is carried out to a scale of 1: 20000. A camera with a wide angle lens of f…

A: Given data: Photographic survey scale of 1:20000 Camera focal length, f = 170 mm Overlap, pe=65 %…

Q: Use the virtual work method to determine the vertical displacement at joint I. (The area for all…

Q: how did you calculate the moment of point A

A: This question is related to the Fluid Mechanics from Civil Engineering. This is connected problem .…

Q: Consider a confined aquifer with a thickness of 12 m and hydraulic conductivity of 20 m/day. This…

A: Data is as given

Q: 2. A beam having an 8 m simple span has a cross section shown in the figure. The beam is reinforced…

A: Beam: A beam is a structural component that is used in the construction of a building. A beam is an…

Q: Which of the following statements is incorrect for bending of a straight member? Bending stress…

A: Given data: Bending stress concept.

Q: . The frame shown is supported a hinge at A and a roller a Compute the horizontal vertical…

Q: Solve

Q: Find the moment at R₂ and R3 of the continuous beam shown in Fig R₁ 300 lb 300 lb T -135 lb/ft R₂…

A: Given : Find the moment at R2 and R3 of the continuous beam ?

Q: A -2 m 12 kN-m B Determine the moment of the beam as a function of x, when x is greater than zero…

Q: Draw the shear and bending moment diagrams for the beams below. Label all key points. 1. Support A…

A: KINDLY NOTE: As per our guidelines, we are supposed to answer the first question, unless specified…

Q: Solve

Q: Two steel plates (A572, Fy = 50 ksi) are welded together to form an inverted T-beam. Determine the…

Q: A lagoon with volume of 1200m3 has been receiving a steady flow of a conservative waste at a rate…

Q: b. Determine the spacing of pipe drain from following data. Annual rainfall = 1000mm Drainage…

A: Pipe Drain: A pipe drain or a drainage pipe is used to transfer the wastewater collected from the…

Q: Find the maximum live load (P₁) applied on the beam shown below if f = 25 MPa and fy: = 400 MPa. 1.5…

A: it is design based question so we are assuming some IS code guidelines wherever it is required ...so…

Q: 1. Determine the normal Force, Shear Force and Moment at F and E: (NF.NE,VF, VE,MF,ME,

A: The beam AEBC is taken seperately. Th reaction have to be calculated for beam AEBC. Thus the normal…

Q: 1.56 2.56 y -26 -26 26 b -36 26

Q: An AISI 4142 steel bar, Q&T at 800°F exhibits Syt = 235 kpsi, Syc = 285 kpsi, and &f= 0.07. Given:…

A: Given-

Q: a) Determine the force in member GF of the Fink truss and state if the member is in tension or…

A: Given : F1 = F3 = 898 lb F2 = 600 lb

Q: QUESTION 8 When describing operating conditions, a level of service C is better than a level of…

A: Solution:- Given:- It is asked when operating conditions a level of service C is better than a level…

Q: QUESTION 3 Based on a Greenshields' model, with a jam density of 120 vpmpl and a free flow speed of…

A: Given data in question Free mean speed 60 mph Jam density 120 vpmpl Density 60 vpmpl To find out…

Q: A 25 KN 15 M 7.5 M 15 KN/M B 5 M 15 KN 12 M 6 M 5 KN/M

A: A continuous beam is given with a span AB of 15 m and a span BC of 17 m. Also, an overhang of 6 m…

Q: 2 he= hp = h₂= cm cm cm

Q: 8. Find force at any element. Calculate displacement for node 2 and 3. A=2cm2 ve E=200GPa 60 kN 3…

A: for finding displacements we are using UNIT LOAD METHOD

Q: During one hour, 1800 pedestrians passed by the observation point on the pedestrian walkway. The…

A: This question is related to the Transportation and highways engineering from Civil Engineering.…

Q: The 4 northbound lanes of a rural freeway segment have 13 ft lane widths. There is no lateral…

A: Free Flow Speed,FFS = BFFS - fLW-fLC-fN-fID Where : BFFS= Base Free Flow speed(75.4 mph) fLW=…

Q: ON 6 An old 6-lane (3 lanes each direction) rural freeway segment has 11 ft lanes and frequent…

A: Free flow speed (FFS): FFS = BFFS - fLW- fLC- fN- fID Where: Base free flow speed for rural freeway…

Q: t the instant @ = 5 rad/s, pulley A is given an angular acceleration α = (0.80) rad/s², where is…

A: The rate of change of magnitude of velocity + Rate of change of direction of motion equals the…

Concept explainers

FEA for Dynamic Problems

Finite element analysis or FEA is a computational tool that evaluates the approximate solution for a particular engineering problem. The tools provided by FEA help to evaluate the solutions of partial differential equations (PDEs) computationally following a numerical approach. Solutions of the PDEs can also be performed by following traditional algebraic approaches, but when the problem gets towards the complex side, it becomes very tedious and almost impossible to arrive at the solutions. In such cases, the FEA fulfills the purpose by evaluating the equations following multiple time steps and iterations. The more the time steps and iterations, the more accurate the solution. The solution plotted by FEA analysis and mathematical approaches varies asymptotically.

Question

It is observed experimentally that the amplitude of free vibration of a certain structure
modelled as a single degree of freedom system, decreases from 1.0 to 0.4 in 10 cycles.
What is the percentage of critical damping?
(Take In 2 = 0.693 and In 10 = 2.303)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

A prismatic fixed-fixed beam, modelled with a total lumped-mass of 10 kg as a single degree of freedom (SDOF) system is shown in the figure. A B m E,I E,I 2 2 SDOF If the flexural stiffness of the beam is 4n2 kN/m, its natural frequency of vibration (in Hz, in integer) in the flexural mode will be,
PROBLEMS: An SDF system is excited by a sinusoidal force. At resonance the amplitude of displacement was measured to be 5 cm. At an exciting frequency of one-tenth the natural frequency of the system, the displacement amplitude was measured to be 0.5 cm. Estimate the damping ratio of the system.
6. For a system with damping ratio determine the number of free vibration cycles required to reduce the displacement amplitude to 10% of the initial amplitude, the initial velocity is zero. >
Vibration tables is used for laboratory utilizations due to its efficient vibrations. Therefore, it is more suitable for in situ conditions. * True False Other:
A prismatic fixed-fixed beam, modelled with a tota lumped-mass of 10 kg as a single degree c freedom (SDOF) system is shown in the figure E,I E.I L/2 L/2 SDOF If the flexural stiffness of the beam is 4kN/m its natural frequency of vibration (in Hz, in integer in the flexural mode will be
2. Why the depth of beam is less than the width in Maxwell's reciprocal apparatus? Theory of Structure-II CECE3121 WE
6. A metallic rod of 500mm length and 50mm diameter, when subjected to a tensile force of 100KN at the ends, experiences an increase in its length by 0.5mm and a reduction in its diameter by 0.015mm. The Poisson's ratio of the rod material is а. 0.2 b. 0.3 С. 0.4 d. 0.5
The value of P=200kN
Consider a prismatic rod of length I made out of uniform, homogeneous material with modulus of elasticity E and density p. Both ends of the rod are fixed against displacement. a) Find the axial vibration (longitudinal vibration) natural frequencies. b) Find the axial vibration modeshapes. Graph the fundamental and second modeshapes. t -E, p, A L
Explain what is meant by "residual stresses" in a material and how X-ray diffraction analysis can be used to quantify the residual stresses. i. Residual stress: ii. How to quantify:
A 30-m band standardized at 20°C was found to be 30.003 m. At what temperature is the tapeexactly30 m? Coefficient of expansion of steel = 0.000 011/°C.
The difference between two observed values is called