The rotor shaft of a helicopter (see figure part a) drives the rotor blades that provide the lifting force and is subjected to a combination of torsion and axial loading (see figure part b). It is known that normal stress sy 68 MPa and shear stress txy 100 MPa. Using Mohr’s circle, determine the following. (a) The stresses acting on an element oriented at a counterclockwise angle from the x axis. (b) Find the maximum tensile stress, maximum compressive stress, and maximum shear stress in the shaft. Show all results on sketches of properly oriented elements. Problem 7.4-8 The rotor shaft of a helicopter (seefigure part a) drives the rotor blades that providethe lifting force and is subjected to a combinationof torsion and axial loading (see figure part b).It is known that normal stress ơ, = 68 MPaand shear stress Try = -100 MPa. Using Mohr'scircle, determine the following.68 MPа(a) The stresses acting on an element orientedat a counterclockwise angle 0the x axis.= 22.5° from100 MPа(b) Find the maximum tensile stress, maximumcompressive stress, and maximum shearstress in the shaft.(b)Show all results on sketches of properly oriented elements.

Answered: Image /qna-images/answer/0169f52c-87c8-4c3f-a60b-938145103743.jpg

The rotor shaft of a helicopter (see figure part a) drives the rotor blades that provide the lifting force and is subjected to a combination of torsion and axial loading (see figure part b). It is known that normal stress sy 68 MPa and shear stress txy 100 MPa. Using Mohr’s circle, determine the following. (a) The stresses acting on an element oriented at a counterclockwise angle from the x axis. (b) Find the maximum tensile stress, maximum compressive stress, and maximum shear stress in the shaft. Show all results on sketches of properly oriented element

The rotor shaft of a helicopter (see figure part a) drives the rotor blades that provide the lifting force and is subjected to a combination of torsion and axial loading (see figure part b). It is known that normal stress sy 68 MPa and shear stress txy 100 MPa. Using Mohr’s circle, determine the following. (a) The stresses acting on an element oriented at a counterclockwise angle from the x axis. (b) Find the maximum tensile stress, maximum compressive stress, and maximum shear stress in the shaft. Show all results on sketches of properly oriented element

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.4.3P: An element on the gusset plate in Problem 7.2-23 in uniuxial stress is subjected to compressive...

See similar textbooks

Similar questions

Solve the preceding problem if the element is steel (E = 200 GPa. p = 0.30) with dimensions a = 300 mm. h = 150 mm. and c = 150 mm a n d with the stresses (T( = —62 MPa, r. = -45 MPa, and = MPa. For part (e) of Problem 7.6-3, find the maximum value of u. if the change in volume must be limited to —0.028%. For part (0. find the required value of if the strain energy must be 60 J.
The normal and shear stresses acting on element B are ??x= -46 MPa, sy= -13 MPa, and txy= 21 MPa (see figure for Problem 7.2-10). Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element.
At a point on the web of a girder on a gantry crane, the stresses acting on the x face of a stress element are s= 6250 psi and ??xy= 1425 psi (see figure). What is the allowable range of values for the stress ??. if the maximum shear stress is limited to t0 = 2150 psi?
-9The stresses acting on element B in the web of a wide-flange beam are found to be 14,000 psi compression in the horizontal direction and 2600 psi compression in the vertical direction. Also, shear stresses of magnitude 3800 psi act in the direct ions shown (see the figure for Problem 7.2-9). Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element.
A hemispherical window (or viewport) in a decompression chamber (see figure) is subjected to an internal air pressure of 85 psi. The window is attached to the wall of the chamber by 14 bolts. (a) Find the tensile force Fin each bolt and the tensile stress (T in the viewport if the radius of the hemisphere is 14 in. and its thickness is 1.25 in. (b) If the yield stress for each of the 14 bolts is 50 ksi and the factor of safety is 3.0, Find the required bolt diameter. (c) If the stress in the viewport is limited to 500 psi, find the required radius of the hemisphere.
A traffic light and signal pole is subjected to the weight of each traffic signal We = 45 lb and the weight of the road lamp WL= 55 lb. The pole is fixed at the base. Find the principal normal stresses and the maximum shear stress on element B located 19 ft above the base (see figure). Assume that the weight of the pole and lateral arms is included in the signal and lamp weights
A pressurized cylindrical tank with flat ends is loaded by torques T and tensile forces P (sec figure), The tank has a radius of r = 125 mm and wall thickness t = 6.5 mm. The internal pressure p = 7.25 MPa and the torque T = 850 N m. (a) What is the maximum permissible value of the forces P if the allowable tensile stress in the wall of the cylinder is 160 MPa? (b) If forces P = 400 kN, what is the maximum acceptable internal pressure in the tank?
A steel hanger bracket ABCD has a solid, circular cross section with a diameter of d = 2 in. The dimension variable is b = 6 in. (see figure). Load P = 1200 lb is applied at D along a line DIh the coordinates of point H arc (8/>, — 5b, 2b), Find normal and shear stresses on a plane stress element on the surface of the bracket at A. Then find the principal stresses and maximum shear stress. Show each stress state on properly rotated elements
An element in plane stress is subjected to stresses ??x= 5750 psi, sy = 1100 psi, and txy= 750 psi (see the figure for Problem 7.3-1). Determine the principal stresses and show them on a sketch of a properly oriented element.
An element in plane stress from the fuselage of an airplane is subjected to compressive stresses of magnitude 35 MPa in the horizontal direction and tensile stresses of magnitude 6.5 MPa in the vertical direct ion. Also, shear stresses of magnitude 12.5 MPa act in the directions shown (see the figure for Problem 7.2-8). Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element.
A W 360 x 79 steel beam is fixed at A. The beam has a length of 2.5 m and is subjected to a linearly varying distributed load with maximum intensity q0= 500 N/m on segment AB and a uniformly distributed load of intensity qQon segment EC. Calculate the state of plane stress at point D located 220 mm below the top of the beam and 0\3 m to the left of point B. Find the principal normal stresses and the maximum shear stress at D. Include the weight of the beam, See Table F-l(b), Appendix F, for beam properties.
A fire extinguisher tank is designed for an internal pressure of 825 psi. The tank has an outer diameter of 4.5 in. and thickness of O.OS in. Calculate the longitudinal stress, the circumferential stress, and the maximum shear stresses (out-of-plane and in-plane) at the outer surface of the tank.