A pipe with an outside diameter of 55 in. and an inside diameter of 5.067 in. is subjected to an axial force of P,- 660 lb, a horizontal force of P,-1520 lb, and a concentrated torque of T-2770 lb-in, acting in the directions shown. Assume a- 29 in. Section properties for the pipe are A-35936 in.2, J-25.1213 in., and ly - 1, = 12.5606 in.. Determine the normal and shear stresses at point K, and show these stresses on a stress element K T. Answer: psi Ty psi

A pipe with an outside diameter of 55 in. and an inside diameter of 5.067 in. is subjected to an axial force of P,- 660 lb, a horizontal force of P,-1520 lb, and a concentrated torque of T-2770 lb-in, acting in the directions shown. Assume a- 29 in. Section properties for the pipe are A-35936 in.2, J-25.1213 in., and ly - 1, = 12.5606 in.. Determine the normal and shear stresses at point K, and show these stresses on a stress element K T. Answer: psi Ty psi

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.5.11P: The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in...

See similar textbooks

Similar questions

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).
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 pipe with an outside diameter of 4.0 in. and an inside diameter of 3.624 in, is subjected to an axial force of P-850 lb, a horizontal force of Pz 1560 lb, and a concentrated torque of T-2940 lb-in, acting in the directions shown. Assume a 49 in. Section propertles for the pipe are A-2.2514 in.?,J-8.199 in.", and ly 1-4.0995 in.. Determine the normal and shear stresses at point K, and show these stresses on a stress element Answer: Oy = psi Txy psi
A cast Aluminum crlinder o f a Portable hodrawlic 208 Mm in diameter The 16,8 N/mm2 by gauge riveter is Pressure. of The fluid is Determine Sui table thicknesS of the inder wall assuming that the Yield Point stress 442 N/mm2 And factor of safety of 6.2 Calculate. the tangential and radial streses middle radius and at the inner outer surface.
A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in The torsional stiffnesses of the two segments of the shaft are given by k = 3,000 N-m/rad and k2 = 4,000 N-m/rad. The turbine generates a harmonic torque given by M(1) = Mo cos wt about the shaft axis with M, = 200 N-m and w = 500 rad/s. The mass moment of inertia of the rotor about the shaft axis is J, = 0.05 kg-m?. Assuming the equivalent torsional damping constant of the system as e, = 2.5 N-m-s/rad, determine the steady-state response of the rotor, 0(1). O(1) M(1) = Mg cos etr %3! Turbine rotor, Jo
A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in The torsional stiffnesses of the two segments of the shaft are given by k = 3.000 N-m/rad and k2 = 4,000 N-m/rad. The turbine generates a hamonic torque given by M(1) = Mo cos ot about the shaft axis with Mg = 200 N-m and as = 500 rad/s. The mass moment of inertia of the rotor about the shaft axis is h = 0.05 kg-m. Assuming the equivalent tosional damping constant of the system as e, = 2.5 N-m-s/rad, determine the steady-state response of the rotor, 6(1). ka M() = Ma cos e Turbine rotor, Jo A 50-kg turbine is mounted on four parallel springs, each of stiffness of 3 x 10° N/m When the machine operates at 40 Hz. its steady-state amplitude is observed as 1.8 mm What is the magnitude of the excitation? Given m = 50 kg. k = 3x 10 Nm. e = 40 Hz. X= 1.8 mm Find: Fe
Q2/ A hollow shaft has to transmit 6MW at 150rev/min. The maximum allowable stress is not to exceed 60 MN/m? nor the angle of twist 0.3° per meter length of shafting. If the outside diameter of the shaft is 300 mm find the minimum thickness of the hollow shaft to satisfy the above conditions. G = 80 GN/m2
The solid steel shaft is supported by the frictionless customer on D and E. This system The mile provided 5 kW of power in w dev / second and was connected to a motor at C. wwww ww www ww ww www wwwm www w A and B If gears get primary 2 kW and 3 kW, determine the minimum shaft diameter. w rotation speed and The safety shear stress is known and is included in the table below. pictures. wwww ww wwwwwwwww www wwwwww wwwwwwww wwwwwwwww w(cycle/second) = 100 tem(Mpa) = 40 3 kW 5 kW 2 kW A D B E C _
Obtain a preliminary design of the shaft by performing the following tasks. Note that forces T1=2880 N and T=432 N. The maximum bending moment is at x= 230 mm (point B), and it equals M= 698.3 N•m completely reversed, where the torque is constant at 612 N.m at the same point. The shaft material is AISI 1020 CD steel. Take the stress concentration conditions at B to be Shoulder fillet-sharp, with notch radius r=0.6 mm (Table 7-1). 230 mm T, 280 mm 30-mm dia. T, 300 mm 250-mm dia. 400-mm dia. 270 Nx 1800 N a) Sketch a general shaft layout in 2D (x – y axes), including all components and torques, then calculate all reactions. : b) Based on the current shaft dimensions and using only forces at B and C, find the lowest critical speed of the shaft. (; c) Determine the fatigue factor of safety of the rotating shaft with the current dimensions using the DE-Gerber criteria. Use Eqs. 6-8 and 6-18 to find the endurance limit, account only for ka and k, in Eq. 6-18 and assume all remaining factors…
A shaft is required to fail when the torque on the shaft is 182 N-m. Find the suitable diameter of the shaft if the maximum shear stress is 50 .
Finding the value of sectional modulus of shaft having diameter 3 m
A CIRCULAR STEEL SHAFT (G= 80 G Pa ) Is COADED Bu Two TORQUES. AT Points A Awo C As SHOWN. FiNo: THE ANGLE OF TuIST OF POINT C RELATIVE To Poiut A Ø% in RAMIANS