Fluid Mechanics Fundamentals And Applications
Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 14, Problem 127P
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A prismatic beam is built into a structure. You can consider the boundary conditions at A and B to be fixed supports. The beam was originally designed to withstand a triangular distributed load, however, the loading condition has been revised and can be approximated by a cosine function as shown in the figure below. You have been tasked with analysing the structure. As the beam is prismatic, you can assume that the bending rigidity (El) is constant. wwo cos 2L x A B Figure 3: Built in beam with a varying distributed load In order to do this, you will: a. Solve the reaction forces and moments at point A and B. Hint: you may find it convenient to use the principal of superposition. (2%) b. Plot the shear force and bending moment diagrams and identify the maximum shear force and bending moment. (2%) c. Develop an expression for the vertical deflection. Clearly state your expression in terms of x. (1%)
Question 1: Beam Analysis Two beams (ABC and CD) are connected using a pin immediately to the left of Point C. The pin acts as a moment release, i.e. no moments are transferred through this pinned connection. Shear forces can be transferred through the pinned connection. Beam ABC has a pinned support at point A and a roller support at Point C. Beam CD has a roller support at Point D. A concentrated load, P, is applied to the mid span of beam CD, and acts at an angle as shown below. Two concentrated moments, MB and Mc act in the directions shown at Point B and Point C respectively. The magnitude of these moments is PL. Moment Release A B с ° MB = PL Mc= = PL -L/2- -L/2- → P D Figure 1: Two beam arrangement for question 1. To analyse this structure, you will: a) Construct the free body diagrams for the structure shown above. When constructing your FBD's you must make section cuts at point B and C. You can represent the structure as three separate beams. Following this, construct the…
A cantilevered rectangular prismatic beam has three loads applied. 10,000N in the positive x direction, 500N in the positive z direction and 750 in the negative y direction. You have been tasked with analysing the stresses at three points on the beam, a, b and c. 32mm 60mm 24mm 180mm 15mm 15mm 40mm 750N 16mm 500N x 10,000N Figure 2: Idealisation of the structure and the applied loading (right). Photograph of the new product (left). Picture sourced from amazon.com.au. To assess the design, you will: a) Determine state of stress at all points (a, b and c). These points are located on the exterior surface of the beam. Point a is located along the centreline of the beam, point b is 15mm from the centreline and point c is located on the edge of the beam. When calculating the stresses you must consider the stresses due to bending and transverse shear. Present your results in a table and ensure that your sign convention is clearly shown (and applied consistently!) (3%) b) You have identified…

Chapter 14 Solutions

Fluid Mechanics Fundamentals And Applications

Ch. 14 - Prob. 11CPCh. 14 - Prob. 12CPCh. 14 - There are three main categories of dynamic pumps....Ch. 14 - Consider flow through a water pump. For each...Ch. 14 - Prob. 15CPCh. 14 - Prob. 16CPCh. 14 - Prob. 17CPCh. 14 - Prob. 18CPCh. 14 - Prob. 19CPCh. 14 - Prob. 20PCh. 14 - Prob. 21PCh. 14 - Prob. 22PCh. 14 - Consider the flow system sketched in Fig....Ch. 14 - Prob. 24PCh. 14 - Repeat Prob. 14-25, but with a rough pipe-pipe...Ch. 14 - The performance data for a centrifugal water pump...Ch. 14 - Suppose the pump of Probs. 14-29 and 14-30 is used...Ch. 14 - The performance data for a centrifugal water pump...Ch. 14 - Prob. 32PCh. 14 - Prob. 34PCh. 14 - The performance data of a water pump follow the...Ch. 14 - For the application at hand, the how rate of Prob....Ch. 14 - A water pump is used to pump water from one large...Ch. 14 - For the pump and piping system of Prob. 14-35E,...Ch. 14 - A water pump is used to pump water from one large...Ch. 14 - Calculate the volume flow rate between the...Ch. 14 - Comparing the resu1t of Probs. 14—43 and 14—47,the...Ch. 14 - Repeat Prob. 14—43, but neglect all minor losses....Ch. 14 - A local ventilation system (a hood and duct...Ch. 14 - The performance data for a centrifugal water pump...Ch. 14 - Transform each column of the pump performance data...Ch. 14 - A local ventilation system (a hood and duct...Ch. 14 - For the duct system and fan of Prob. 14—55E,...Ch. 14 - Repeat Prob. 14—55E. Ignoring all minor losses....Ch. 14 - 14-51 A local ventilation system (a hood and duct...Ch. 14 - The two-lobe rotary pump of Fig. P14-63E moves...Ch. 14 - Prob. 64EPCh. 14 - Prob. 65PCh. 14 - Prob. 66PCh. 14 - A centrifugal pump rotates at n=750rpm . Water...Ch. 14 - Prob. 68PCh. 14 - Suppose the pump of Prob. I 4—67 has some reverse...Ch. 14 - Prob. 70PCh. 14 - Prob. 71PCh. 14 - Prob. 72PCh. 14 - Prob. 73CPCh. 14 - Name and briefly describe the differences between...Ch. 14 - Discuss the meaning of reverse swirl in reaction...Ch. 14 - Prob. 76CPCh. 14 - Prob. 77PCh. 14 - Prob. 78PCh. 14 - Prob. 79PCh. 14 - Prob. 80PCh. 14 - Prob. 81PCh. 14 - Wind (=1.204kg/m3) blows through a HAWT wind...Ch. 14 - Prob. 83PCh. 14 - Prob. 85PCh. 14 - Prob. 86EPCh. 14 - Prob. 88PCh. 14 - Prob. 89PCh. 14 - Prob. 90EPCh. 14 - The average wind speed at a proposed HAWT wind...Ch. 14 - Prob. 92CPCh. 14 - Prob. 93CPCh. 14 - Discuss which dimensionless pump performance...Ch. 14 - Prob. 95PCh. 14 - Prob. 96PCh. 14 - Prob. 97PCh. 14 - Prob. 98PCh. 14 - Prob. 99PCh. 14 - Prob. 100PCh. 14 - Prob. 101PCh. 14 - Prob. 102PCh. 14 - Prob. 103PCh. 14 - Prob. 104PCh. 14 - Prob. 105PCh. 14 - Prob. 106PCh. 14 - Prob. 107PCh. 14 - Prob. 108PCh. 14 - Prob. 109PCh. 14 - Prob. 110PCh. 14 - Prob. 111PCh. 14 - Prob. 112PCh. 14 - Prob. 114PCh. 14 - Prob. 115PCh. 14 - Prove that the model turbine (Prob. 14—114) and...Ch. 14 - In Prob. 14—116, we scaled up the model turbine...Ch. 14 - Prob. 118PCh. 14 - Prob. 119PCh. 14 - Prob. 120PCh. 14 - For two dynamically similar pumps, manipulate the...Ch. 14 - Prob. 122PCh. 14 - Prob. 123PCh. 14 - Prob. 124PCh. 14 - Calculate and compare the turbine specific speed...Ch. 14 - Which turbomachine is designed to deliver a very...Ch. 14 - Prob. 127PCh. 14 - Prob. 128PCh. 14 - Prob. 129PCh. 14 - Prob. 130PCh. 14 - Prob. 131PCh. 14 - Prob. 132PCh. 14 - Prob. 133PCh. 14 - Prob. 134PCh. 14 - Prob. 135PCh. 14 - Prob. 136PCh. 14 - Prob. 137PCh. 14 - The snail-shaped casing of centrifugal pumps is...Ch. 14 - Prob. 139PCh. 14 - Prob. 140PCh. 14 - Prob. 141PCh. 14 - Prob. 142PCh. 14 - Prob. 143PCh. 14 - Prob. 144PCh. 14 - Prob. 145PCh. 14 - Prob. 146PCh. 14 - Prob. 147PCh. 14 - Prob. 148PCh. 14 - Prob. 149PCh. 14 - Prob. 150PCh. 14 - Prob. 151PCh. 14 - Prob. 152P
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Fluid Mechanics - Viscosity and Shear Strain Rate in 9 Minutes!; Author: Less Boring Lectures;https://www.youtube.com/watch?v=_0aaRDAdPTY;License: Standard youtube license