Question

In: Mechanical Engineering

bending moment of 4 kN m is found to cause elastic failure of a solid circular...

bending moment of 4 kN m is found to cause elastic failure of a solid circular shaft. An exactly similar shaft is now subjected to a torque T. Determine the value of T which will cause failure of the shaft according to the following theories:
(a) Maximum principal stress;
(b) Maximum principal strain;
(c) Maximum shear strain energy. ?= 0.3.)
Which of these values would you expect to be the most reliable and why?

Solutions

Expert Solution


Related Solutions

A circular solid shaft rotating at n=1000n=1000 rpm suports a bending moment M=200M=200 klbf*in. Compute the...
A circular solid shaft rotating at n=1000n=1000 rpm suports a bending moment M=200M=200 klbf*in. Compute the life NN for shafts having four different diameters d1=2.6,d2=2.32,d3=1.93d1=2.6,d2=2.32,d3=1.93, and d4=4.16d4=4.16 inches. Material properties: SUT=200SUT=200 kpsi, Se=50Se=50 kpsi, f=0.8,Nt=103,Ne=106f=0.8,Nt=103,Ne=106.
A circular shaft, 100 mm diameter is subjected to combined bending moment and torque, the bending...
A circular shaft, 100 mm diameter is subjected to combined bending moment and torque, the bending moment being 3 times the torque. If the direct tension yield point of the material is 300 MN/m2 and the factor of safety on yield is to be 4, calculate the allowable twisting moment by the three following theories of failure: (a) Maximum principal stress theory (b) Maximum shear stress theory (c) Maximum shear strain energy theory.
square footing 4×4 m carrying a load of 400 KN and the moment of 200 KN.m...
square footing 4×4 m carrying a load of 400 KN and the moment of 200 KN.m compute the maximum and minimum bearing pressure
Sectional bending moment due to counting load MU = 525 kN Find the amount of reinforcement...
Sectional bending moment due to counting load MU = 525 kN Find the amount of reinforcement required. The cover thickness is 40mm, and the stirrup rebar is D10. Design. Compressed reinforcing bars do not have to be yielded, and the size of the section can only be increased if design is not possible under the given conditions. b = 330 mm, h = 600 mm, f ck = 40 MPa, f y = 500 MPa, using tensile and compressed rebar...
Sectional bending moment due to counting load MU = 525 kN Find the amount of reinforcement...
Sectional bending moment due to counting load MU = 525 kN Find the amount of reinforcement required. The cover thickness is 40mm, and the stirrup rebar is D10. Design. Compressed reinforcing bars do not have to be yielded, and the size of the section can only be increased if design is not possible under the given conditions. b = 310 mm, h = 520 mm, f ck = 29 MPa, f y = 520 MPa, using tensile and compressed rebar...
Find the moment of inertia of a circular disk of radius R and mass M that...
Find the moment of inertia of a circular disk of radius R and mass M that rotates on an axis passing through its center. [Answer: ½ MR2] Step 1: Pictorial representation: Sketch a neat picture to represent the situation. Step 2: Physical representation: 1) Cut the disk into many small rings as it has the circular symmetry. 2) Set up your coordinate system and choose its origin at the pivot point (or the axle location) for convenience. Then choose a...
A solid sphere of radius R is found at the origin. Point mass particles m have...
A solid sphere of radius R is found at the origin. Point mass particles m have elastic collisions with the sphere. Find a relationship between the (scattering) angle and the impact parameter to calculate the differential (cross-section) and the total differential.
4. A car of mass m is traveling with constant speed v around a circular banked...
4. A car of mass m is traveling with constant speed v around a circular banked road of radius R, see the side view and the free-body diagram. a) Apply Newton’s 2nd law to the car, i.e. write equations for the centripetal, angular, and vertical components of the net force. b) Determine the angle θ at which the road should be banked so that no static friction is required to drive the car. Now, include the static friction force FS...
Give a more general expression for the magnitude of the torque T. Rewrite the answer found in Part A in terms of the magnitude of the magnetic dipole moment of the current loop m.
Give a more general expression for the magnitude of the torque T. Rewrite the answer found in Part A in terms of the magnitude of the magnetic dipole moment of the current loop m. Define the angle between the vector perpendicular to the plane of the coil and the magnetic field to be ф, noting that this angle is the complement of angle θ in Part A. Give your answer in terms of the magnetic moment m, magnetic field B, and...
Solid particles (diameter 1.5 x 10-4 m, average density = 2800 kg/m3) are settling in water...
Solid particles (diameter 1.5 x 10-4 m, average density = 2800 kg/m3) are settling in water at 30 °C. The properties of water at this temperature are viscosity (µ) = 8 x 10-4 kg/m.s and density (p) = 996 kg/m3 a) What is the terminal velocity for the particles? b) What would be the velocity of the system in a separator with an acceleration of 390 m/s2?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT