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Engineering

Civil Engineering

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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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Which of the following statements are true? (check all that are true) O The centroid and center of pressure are equal when 0 is equal to 90. The centroid and center of pressure are equal when 0 is equal to 0°. The resultant pressure force acts through the centroid of a submerged rigid body. The resultant pressure force acts through the center of pressure for a submerged rigid body.
For the flow of a thin layer of liquid down an inclined plane shown: a. Using the cross-hatched element and through a force balance, show that the velocity distribution across the layer is: ?=? ??? ?? ? ( ??− ?? ) b. Derive an expression for the liquid velocity at the free surface. c. Derive an expression for the discharge per unit width. d. Derive an expression for the shear stress at the fixed wall.
Select the most appropriate answer. O Bemoulli eg was derived by applying Newton's 2nd law to a particle and then integrating along a streamline: while Energy eg was derived using the 1st law of thermodynamics & consequently the Reynolds transoort theorem. Energy eg includes both mechanical.and thermal eneray, while Bernouli eg involves only.mechanical eneray. Bernoulli eg is applied by selecting two.points (can be anywhere) on a streamline (irrotational flow) and then equating terms at those points, while Energy eg is applied by selecting an inlet & on outlet sections and then equating terms at those sections. Energy eg applies to steady. incompressible. viscous flow with additional energies through the pumR. turbine, and heat engines: while Bemoulli eg applies to steady. incompressible, and inviscid flow (h = 0, a = 1). Under special circumstances, Bernoulli eg converts into Energy eg if pump or turbine added along the streamline Bernouli eg was derived by applying Newtan's 2nd law…
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The 22-mm-diameter A-36 steel rod is subjected to the axial forces shown. Take E = 200 GPa. (Figure 1) Figure 1 A of 1 600 mm B 400 mm 50 kN 50 kN C 40 kN MILA Determine the displacement of end C with respect to the fixed support at A. Express your answer to three significant figures and include the appropriate units. 1 dc = Submit μÅ Value Units My Answers Give Up ?
A steel tube is 5 millimeters thick and has an outside diameter of 60 millimeters. It is being used as a compression member. If the axial normal stress in the member is only limited to 200 megapascals, determine the maximum load P in kN that the member can support. Note: Draw the Free Body Diagram, include the units/dimensions, use the proper formula and round-off all the answers and the final answers to 3 decimal places.
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For fluid undergoing circular motion, the centripetal force is provided by a pressure difference. Consider a fluid element (density p) at radial distance r, which has thickness dr in the radial direction and surface area dA normal to the radial direction. The pressure difference gives rise to a force on the fluid element equal to (p(r + dr) – p(r))dA. (i) Equating the pressure difference to the centripetal force, find an expression for the radial pressure gradient in terms of p, r, and fluid velocity v. (ii) A fluid is undergoing body rotation in the r-0 plane (cylindrical polar co-ordinates). By considering the gravitational pressure head, show that the shape of a free surface z(r) is parabolic. (iii) Find and sketch a similar expression for the free surface of a fluid vortex produced by a rotating cylindrical spindle (i.e. a solid cylindrical rod) of radius Ro.