System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Chapter 8, Problem 8.45P
To determine
The unit step response, steady state response and time take to reach steady state.
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: The two steel shafts, each with one end builtinto a rigid support, have flanges attached to their freeends. The flanges are to be bolted together. However,initially there is a 6⁰ mismatch in the location of the boltholes as shown in the figure. Determine the maximumshear stress(ksi) in each shaft after the flanges have beenbolted together. The shear modulus of elasticity for steelis 12 x 106 psi. Neglect deformations of the bolts and theflanges.
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The compound shaft, composed of steel,aluminum, and bronze segments, carries the two torquesshown in the figure. If TC = 250 lb-ft, determine the maximumshear stress developed in each material (in ksi). The moduliof rigidity for steel, aluminum, and bronze are 12 x 106 psi, 4x 106 psi, and 6 x 106 psi, respectively
Chapter 8 Solutions
System Dynamics
Ch. 8 - Prob. 8.1PCh. 8 - Suppose the rocket motor in Problem 8.1 takes 0.04...Ch. 8 - Prob. 8.3PCh. 8 - Prob. 8.4PCh. 8 - Prob. 8.5PCh. 8 - Prob. 8.6PCh. 8 - Prob. 8.7PCh. 8 - Prob. 8.8PCh. 8 - The liquid-level system shown in Figure 8.1.2d has...Ch. 8 - The immersed object shown in Figure 8.1.2e is...
Ch. 8 - Prob. 8.11PCh. 8 - Prob. 8.12PCh. 8 - Prob. 8.13PCh. 8 - Prob. 8.14PCh. 8 - Prob. 8.15PCh. 8 - Prob. 8.16PCh. 8 - Prob. 8.17PCh. 8 - Obtain the response of the following models with...Ch. 8 - Prob. 8.19PCh. 8 - Prob. 8.20PCh. 8 - Prob. 8.21PCh. 8 - Prob. 8.22PCh. 8 - Prob. 8.23PCh. 8 - If applicable, compute <, r, a>„, and iod for the...Ch. 8 - Prob. 8.25PCh. 8 - Prob. 8.26PCh. 8 - 8.27 Given the model
,v — (/z + 2)i + (2/z + 5)x =...Ch. 8 - Prob. 8.28PCh. 8 - Prob. 8.29PCh. 8 - 8.30 The characteristic equation of a certain...Ch. 8 - Prob. 8.31PCh. 8 - Prob. 8.32PCh. 8 - Prob. 8.33PCh. 8 - Prob. 8.34PCh. 8 - Prob. 8.35PCh. 8 - Derive the fact that the peak time is the same for...Ch. 8 - Prob. 8.37PCh. 8 - Prob. 8.40PCh. 8 - Prob. 8.41PCh. 8 - Prob. 8.42PCh. 8 - Prob. 8.43PCh. 8 - Prob. 8.44PCh. 8 - Prob. 8.45P
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- Correct answer and complete fbd only. I will upvote. A flanged bolt coupling consists of two concentric rows of bolts. The inner row has 6 nos. of 16mm diameterbolts spaced evenly in a circle of 250mm in diameter. The outer row of has 10 nos. of 25 mm diameter bolts spaced evenly in a circle of 500mm in diameter. If the allowable shear stress on one bolt is 60 MPa, determine the torque capacity of the coupling. The Poisson’s ratio of the inner row of bolts is 0.2 while that of the outer row is 0.25 and the bolts are steel, E =200 GPa.arrow_forwardCorrect answer and complete fbd only. I will upvote. The shaft carries a total torque T0 that is uniformly distributedover its length L. Determine the angle of twist (degrees) of the shaft in termsif T0 = 1.2 kN-m, L = 2 m, G = 80 GPa, and diameter = 120 mmarrow_forward7) find the Emax for figure below. 250N Ans: Tmay 7.5 MPa Gomm 350mm 50mm 4arrow_forward
- Water is supplied at 150 ft³/s and 70 psi to a hydraulic turbine through a 3-ft inside-diameter inlet pipe as indicated in the figure below. The turbine discharge pipe has a 4.8-ft inside diameter. The static pressure at section (2), 10 ft below the turbine inlet, is 10 in. Hg vacuum. If the turbine develops 2400 hp, determine the rate of loss of available energy between sections (1) and (2). Section (1) P₁ =70psi Q=150ft³/s D₁ = 3 ft 10 ft Turbine power loss = i P₂ = 10 in. Hg vacuum D₂ =4.8ft Section (2) de hparrow_forwardThis problem studies the response of two single degree of freedom bridge systems shown in Figure 1 under three loading cases. The problem has two parts. Part A and Part B use the same loading cases but the system is modified. Assume the following three loading cases in both Part A and Part B: (a) Harmonic wind load acting on the bridge deck pw(t) = powsin(ωwt) with amplitude pow and forcing circular frequency ωw. (b) Harmonic displacement base excitation acting at the base of the bridge pier ug(t) = ugosin(ωgt) with amplitude ugo and displacement circular frequency ωg. (c) Rectangular pulse load acting on the bridge deck with amplitude pop and pulse duration td. Part A The system includes part of a bridge deck and a bridge pier shown in Figure 1(a). For each loading case find the symbolic expression of the peak shear force in the bridge pier assuming the following: • The bridge deck is rigid and it has a mass m. • The bridge deck is rigidly connected with the bridge pier (i.e.,…arrow_forwardspecific speed P #2 Q.2. A Pelton wheel turbine of 1.9 m diameter works under a head of 50 m at 150 rpm. The buckets are exposed to water jet which delivers from a nozzle of 20 cm in diameter. Find the overall efficiency power produced by the wheel if the buckets deflects the jet through an angle of 163°. coefficient of velocity as 0.98 [50 Marks] ·licosply Y and no Take thearrow_forward
- d Q.2. A Pelton wheel has a mean bucket speed of 15 m/s. The jet of water issued from a nozzle of 12 cm in diameter impinges the bucket with a velocity of 40 m/s. If the buckets deflect the jet through an angle of 165°, find the head and power generated by the turbine. Assume the hydraulic efficiency is 90% and the mechanical efficiency is 85%. [50 Marks] Po 7n = 90%arrow_forwardAt its optimum point of caines. operation, a given centrifugal pump with an impeller diameter of 50 cm delivers 3.2 m³/s of water at a 2 head of 25 m when rotating at 1450 rpm and power of 955 kW. If a homologous pump with an impeller diameter of 80 cm rotates at 1200 rpm, what would be the discharge, head, shaft break power and P H₂arrow_forward(read image)arrow_forward
- Hi, can you please assist with the attached question please. Please do not use Ai software. Many thanks.arrow_forwarddetermine the allowable bending and contact stresses for a grade 1 steel through-hardened to 250 HB. Assume the desired reliability is 50% and that the pinion and gear have the same hardness and the gear encounters hydrodynamic lubrication and is to last ten million cyclesarrow_forwardUsing the four-point bending tool, detail the influence of both applied load and notch size on the transverse strain. Cover the following points in your answer. a. A detailed description of the methodology you have used to create a set of results suitable to answer this question. Include details on the placement of line scans, the loads used, etc. (there is no need to describe the process of extracting the data from the interactive or the fundamental principles behind DIC). (5 marks) b. A description of the results you have found, including a written description, images, and both vertical and horizontal line scans from the four-point bending tool. Include a minimum of three loads and three notch sizes in your results. (20 marks) c. The conclusions you can make regarding the influence of load and notch size on the strain experienced by the beam based on the data you collect. (5 marks) To achieve full marks, you will need to include the following in your work: • properly labelled graphs…arrow_forward
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