A thin elastic wire has its both ends tied to two fixed holders and is completely immersed in a flowing fluid. A study is to be carried out to determine the static deflection, ô, at the axis of the wire due to drag that exerted by the flowing fluid. Assume: 8 =f(I, d, p, µ, V, E) where dis a deflection in unit length, I is wire length, d is wire diameter, pis fluid density, µ is fluid dynamic viscosity, V is fluid velocity, and E is elastic modulus of the wire. By using Buckingham Pi (t) theorem and basic dimensions system of MLT, predict a suitable set of a Pi (T) terms to study this problem. Use d, p, and V as the repeating variables. The unit of elastic modulus is given as Newton/m².

A thin elastic wire has its both ends tied to two fixed holders and is completely immersed in a flowing fluid. A study is to be carried out to determine the static deflection, ô, at the axis of the wire due to drag that exerted by the flowing fluid. Assume: 8 =f(I, d, p, µ, V, E) where dis a deflection in unit length, I is wire length, d is wire diameter, pis fluid density, µ is fluid dynamic viscosity, V is fluid velocity, and E is elastic modulus of the wire. By using Buckingham Pi (t) theorem and basic dimensions system of MLT, predict a suitable set of a Pi (T) terms to study this problem. Use d, p, and V as the repeating variables. The unit of elastic modulus is given as Newton/m².

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Determine the centroid of the section cross section shown and then calculate the moment of inertia…

A: Hi there!! since you have asked multiple questions, we will solve the first question for you. If you…

Q: 20mm Square plate is subjected normal stresses as illustrated. Modulus of Elasticity, E = 1081 MPa…

Q: A rigid triangular plate is suspended from a horizontal plane by three vertical wires attached to…

A: Diameter = d = 1mm Modulus of Elasticity = E = 196000Nmm2 Length of each wire = L = 1440mm Ratio of…

Q: 20mm Square plate is subjected normal stresses as illustrated. Modulus of Elasticity, E = 704 MPa…

Q: Question 2: For the Aluminium shaft shown in Figure 2 with "Shear Modulus (G) = 27 GPa", determine…

Q: A cylindrical hollow shaft shown in Figure Q3 is subjected to a compressive load acting though its…

Q: The viscosity of a fluid placed in the two cylinder ranges is given in the figure it is measured by…

A: Given data: N=300 rpmT=2 N-mh=0.9 mrinner=0.1 mGapcylinder=1×10-3 m

Q: Question 3) The rigid beam CD in the figure is attached to the ceiling with AC and BD rods. The…

A: Given data: Bar AC : L=2 mE=70 GPaD=11 mm Bar BD : L=0.7 mE=94 GPaD=25 mm Rigid beam CD L=1.5 m…

Q: In the shaft shown below, an angle of twist of 5 degrees is observed. The modulus of (G) for the…

Q: In the figure shown, each of the four vertical links connecting the two rigid horizontal members is…

A: Deflection: The movement of the beam from its original position to another position without any…

Q: A conveyer belt is used to transfer granular material and the frictional resistance on the top of…

A: The given figure is shown below:

Q: The uniform bar AB weighing 240 lb is mounted as shown in the figure upon a carriage weighing 480…

Q: An exerciser begins with his arm in the relaxed vertical position OA, at which the elastic band is…

Q: The fixture shown in Figure 5 is fixed at point A and free at point C. The frame is made from a…

A: Given data b = 50 mm h = 75 mm E = 200 GPA Ignore axial and shear deformation Find vertical…

Q: A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E - 2,300 ksi;…

A: Given: A structure consisting of rigid bar ABCD as shown below Required: To find normal force in…

Q: How does the Total foundation settlement results?

A: Total settlement of the foundation will completely depends upon the settlement of soil. And as we…

Q: w Refer to the beam shown. The cantilever beam has a uniform load due to its weight and a tip load.…

Q: The simply supported beam is subjected to the forces and moment as shown in the diagram and table.…

A: Given:Required:Equivalent resultant load at point A

Q: A beam is subjected to a concentrated force, as shown in the figure below, try to find the Elastic…

Q: Part A - Reaction force What is the reaction force at A? Let a positive reaction force be to the…

Q: A mass of 200 kg is supported by a bar, pulley, and cable as shown in the figure. Determine a) the…

A: Given: The mass m is 200 kg. Consider the figure,

Q: A steel rod 3 ft long with a cross - sectional area of '576 ft2 is stretched between two fixed…

A: The given data is shown below: Length of rod=3 ftCross-sectional area of rod=1576ft2Tensile…

Q: Q2 The armature shaft of a 40 kW, 720 rpm electric motor, mounted on two bearings A and B, is shown…

Concept explainers

Moments

There are various practical applications of the concept of moments, like a rotation of the crank due to linear motion of the piston, the moment of inertia and its use in designing beams and columns, bending moment concept, torque, twisting moment, etc.

Question

c) A thin elastic wire has its both ends tied to two fixed holders and is completely
immersed in a flowing fluid. A study is to be carried out to determine the static
deflection, 8, at the axis of the wire due to drag that exerted by the flowing fluid.
Assume: 8 =f(1, d, p, µ, V, E)
where dis a deflection in unit length, I is wire length, d is wire diameter, pis fluid
density, u is fluid dynamic viscosity, V is fluid velocity, and E is elastic modulus
of the wire.
By using Buckingham Pi (t) theorem and basic dimensions system of MLT,
predict a suitable set of a Pi (t) terms to study this problem. Use d, p, and V as
the repeating variables. The unit of elastic modulus is given as Newton/m?.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

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

can you answer both parts
The system shown is in static equilibrium and motionless. All joints are ideal. • The origin of the "standard coordinate system" is placed at Support-A. NOTE: Submitted responses shall be to 4 significant figures. Do NOT use scientific notation. Find: 1. The magnitude of the intensity of the uniform distributed load is _kN/m. 2. Consider the section of the beam from x=0m to x=2m. The magnitude of the resultant force is, _kN. 3. Consider the section of the beam from x=0m to x=2m. The resultant force is located at x= _m. 4. Consider the entire beam. The magnitude of the resultant force is kN. 5. Consider the entire beam. • The resultant force is located at x= m. 6. The magnitude of the vertical reaction force at A is kN 7. The magnitude of the vertical reaction force at B is kN. 5 kN/m 2 kN/m B 2 m 3.6 m
A 10 kg object is suspended using a cable wire. The tension on the cable wire is also 10 kg. * True False
The bar of negligible weight is supported by two springs, each having a stiffness k = 100 N/m. If the springs are originally unstretched, and the force is vertical as shown, determine the angle θ the bar makes with the horizontal, when the 30-N force is applied to the bar. Give your answer in degrees and to 3 significant digits.
300 N 300 N 200 mm- The acrylic plastic rod is 200 mm long and 15 mm in diameter. If an axial load of 300 N is applied to it, using E = 2.70 GPa and v = 0.40, determine the: a.Change in length in mm. b.Change in diameter in mm. c.Dilatation d.Change in Volume
M m Consider the above figure. The weight has a mass m = 2.0 kg, and its attached to a ligth cord wound around a pulley. The pulley consists of a hoop of wiht radius R = 7 cm and mass M = 2.1 kg. The mass of the spokes is negligible.. %3D %3D (a) What is the magnitude of the net torque on the system about the axle of the pulley? (b) When the counterweight has a speed v, Determine the magnitude of the total angular momentum of the system about the axle of the pulley. (c) Using your result from part (b) and the defintion of torque, T=dL/dt, calculate the acceleration of the counterweight.
1) A ladder leans against a wall as shown below. A hammer is placed on one of the rungs (you can assume the hammer is pointlike). The ladder feels a force of friction from the ground, but there is no friction between the ladder and the wall. The length of the ladder is 20 ft The mass of the ladder 40 The inclination of the ladder 35 The height of the hammer 10 The mass of the hammer 25 (a) Draw the ladder. (b) Draw all forces acting on the ladder. (c) Set origin and axes. (d) Write the force balance on the ladder, both in x and y. (e) Write the torque balance on the ladder. (f) Determine the coefficient of friction between the ground and the ladder.
A 20-cm-diameter steel rod is subjected to a tensile load of 1000KN at one end and is fixed at the other end. Calculate the deflection of the rod if it is 150-cm long. (Esteel 200 GPa) PL d = AE where d= end deflection of the bar in meter (m) P= applied load in newton (N) %3D L = length of the bar in meter (m) %3D A = cross-sectional area of the bar in m E = modulus of elasticity of the material (N/m) O 0.73 mm 0.1.51 mm 0.02 mm 0.24 mm
As shown in figure, a simple supported beam carries two symmetrically placed concentrated loads. Compute the maximum deflection. A 3 m 100 N 100 N 3 m S 3 m B
The pipe with two rigid caps attached to its ends is subjected to an axial force P. (Figure 1) a Section a - a P If the pipe is made from a material having a modulus of elasticity E and Poisson's ratio v determine the change in volume of the material. Express your answer in terms of some or all of the variables P, E, L, v, r₁, and ro.
Problem 8.61 Part A The two blocks used in a measuring device have negligible weight. The spring is compressed 4 in. when in the position shown. The end of the screw is smooth and the coefficient of static friction at all other points of contact is μ= 0.29. (Figure 1) Determine the smallest axial force P which the adjustment screw must exert on B in order to start the movement of B downward. Express your answer to three significant figures and include the appropriate units. Figure k = 20 lb/in. A 60° 45° B 1 of 1 P= Value Submit Request Answer Provide Feedback ? Units
Two torque as shown are applied on a compound shaft of aluminum segment and a steel. Determine the maximum permissible value of T subjected to the following conditions: T, s 90MPA, T. S 65MPA and the angle of rotation of the free end limited to 11°. Use GS 84 GPa and Ga = 27 GPa. %3D %3D 75 mm Aluminum Steel 50 mm 2 m 1.5 m