Determine the torsional shear stress in the shaft section AB and BC. There is a fixed support at C that can resist a moment. (Image taken from Statics and Mechanics of Materials by Beer, Johnson, DeWolf and Mazurek) T₁ = 300 N-m 30 mm- TB = 400 N-m 46 mm CGC Shear Stress in AB = Shear Stress in BC = B C 0.9 m 0.75 m units: units:
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- Solve the preceding problem for the following data: diameter LO m, thickness 48 mm, pressure 22 MPa, modulus 210 GPa. and Poisson's ratio 0.29A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The inside diameter of the shaft is to be one-half of the outside diameter. If the allowable shear stress in the shaft is 45 MPa, what is the minimum required outside diameter d?A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).
- A thin-walled rectangular tube has uniform thickness t and dimensions a x b to the median line of the cross section (see figure). How does the shear stress in the tube vary with the ratio = a/b if the total length Lmof the median line of the cross section and the torque T remain constant? From your results, show that the shear stress is smallest when the tube is square (ß = 1).Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.The propeller shaft of a large ship has an outside diameter 18 in. and inside diameter 12 in,, as shown in the figure. The shaft is rated for a maximum shear stress of 4500 psi. If the shaft is turning at 100 rpm, what is the maximum horsepower that can be transmitted without exceeding the allowable stress? If the rotational speed of the shaft is doubled but the power requirements remain unchanged, what happens to the shear stress in the shaft?
- 1. A circular shaft with a keyway can be approximated by the section shown in Fig. r=b Ay r r=2acose Figure 1: Circular shaft with a keyway. The keyway is represented by the boundary equation r = b and the shaft is represented by the boundary equation r = 2a cos 0. Show that using a Prandtl stress function of the form ²) (₁ (1-2a cos) X v = K (b² − ²) (1 – : will solve the problem of torsion on this shaft and find the constant K (assume an applied torque T). Compute the shear stress components Txz and Tyz. (Hint: start by converting the stress function to Cartesian coordinates).Micro Bh Micros Bb Micros - с * Question Completion Status: Question 2 2.0 d=1.50 in. dia. 1.9 1.8 Class r = 0.08 in. The figure below show a stepped shaft in torsion. Compute the maximum shear stress at the step when it rotates at 100 rad/s and transmits 5000 lb-in/s. Use CamScanner app or Notes app of iPhone to scan all hand-written pages into one PDF file. Attach the PDF file here to answer in this question. Class ( bbhosted.cuny.edu/webapps/assessment/take/take.jsp?course_assessment_id=_2374 Class D = 2.00 in. dia. r= Fillet radius Class G Cuent Projec suntur Et WA AS hpA shaft required to transmit 50kW of power will be running at 100rev/min. The maximum twist in 3m length of the shaft is limited to 1.5 degree. If the maximum torque is 30 percent more than mean or average torque. Assume entirely elastic action and take modulus of rigidity for the shaft material G = 135 GN/?2. Determine the following:a. Diameter of the shaft.b. Maximum shear stress developed in the shaft. I need answer ASAP. Thank you!
- Find the maximum stress developed in a stepped shaft when it is subjected to a: i) Torque of “T” Nm. ii) Bending moment of “M” Nm. r = 5 mm D = 50 mm d = 25 mm Torque “T” Nm = 150 Bending moment ‘’M’’ Nm = 250d 6- Two shafts 'A' and transmit the same power. The speed of shaft 'A' is 250 r.p.m. and that of shaft is 300 r.p.m. The shaft 'B' has the greater diameter The shaft 'A' has the greater diameter None of these Both are of same diameter d- 7- In the torsion equation T/=T/r= GB/L, the term //R is called Shear modulus b- Section modulus Polar modulus d- None of these11:11 A The wood beam has an allowable shear stress of Tallow = 9.6 MPa. d3 d3 Variable d₁ d₂ d1 d3 d4 d5 wamap.org Value d2 V Values for the figure are given in the following table. Note the figure may not be to scale. 0.05 m 0.125 m 0.05 m 0.225 m P 0.1125 m d1 d5 a. Determine the Q at point P. b. Determine the moment of inertia, I. d4 c. Determine the magnitude of the max shear force that can be applied to the cross-section at point P, Vmax.