3. Which one of the following equations is dimensionally homogenous? Show your proof.a. F(x, – x,) = -mV} - mvb. F=c. AV, – V.) =m -t2d. F( - 4) = mV, - mV,Where: F = force (N); x =distance (m); m = mass (kg); V = velocity (m/s); t = time (s)

Answered: Image /qna-images/answer/5cbbab62-a2c0-4c8a-9632-ae21fe88fa9f.jpg

Answered: 3. Which one of the following equations…

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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Q.37 Water is moving through a pipe. The velocity profile at a particular section is given mathematically as V = v- (1) (²²-2²) 4μ 4 where v = velocity of water at any position r B: = constant μ = viscosity of water d = pipe diameter r = radial distance from centreline of pipe (i) What is the shear stress at the wall of the pipe due to the water? (ii) What is the shear stress at a position r= d/4? (iii) If the given profile persists a distance L along the pipe, what drag is induced on the pipe by the water in the direction of flow over this distance?
By integrating the differential equations of equilibrium, calculate V, and M, for 0 < x < L. Clearly state the boundary conditions. Verify the solution by using the free body diagram method. Plot V, and M, vs L < 1. for 0 < L Vy Vy(z) Vy(0) V,(0) is V,(x) at 1 = 0 M, = M-(2) Po TTX' Py = Po sin () EI, L
The beam shown in the figure is supported at roller A and pinned at B and has a uniformly distributed loading w= 53 kN/m over 1.5 m from the left-hand end and moment loading M = 53 kNm at 1.5 m from end B. Determine the shear force at a section from the left-hand end of the beam X = 3.0 m. Input your answer as a value only in kN to one decimal place and without +/- sign. w kN/m M kNm B X -1.5 m- A- -1.5 m -1.5 m-

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3. Which one of the following equations is dimensionally homogenous? Show your proof. a. F(x, – x,) = -mV} - mv b. F= c. AV, – V.) =m -t 2 d. F( - 4) = mV, - mV, Where: F = force (N); x =distance (m); m = mass (kg); V = velocity (m/s); t = time (s)