m long and has a radius of 1 cm. When a torque of 157.1 Nmis pied,...
160 mm 10 mm A hollow cylindrical steel shaft is 1.5 m long and has inner and outer diameters respectively equal to 40 and 60 mm. The allowable shearing stress is 120 MPa with a modulus of rigidity (shear modulus) G-77 GPa, assuming fully elastic deformation. (a) What is the largest torque that can be applied to the shaft? (5 points) (b) What is the corresponding minimum value of the shearing stress in the shaft? (5 points) (c) What are...
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3. The motor delivers 12 kilowatts to the 2.4 cm diameter stainless steel shaft of length 2.0 meters at 800 rpm. The shear modulus is G = 75 GPa. Find: a. T, torque in the shaft in [N m] b. Tma, maximum shear stress in the shaft , the angle of twist.
(b) The A-36 solid steel shaft is 3.5 m long and has a diameter of 60 mm. The shaft is used to transmit a torque of T=524 N·m from the engine to the generator. Determine the angle of twist (%) of the shaft. The shear modulus of elasticity (G) of the shaft material is 75 GPa. (10 points)
A shaft subjected to bending moment varying from -200 N m to +500 N m and a varying torque from 50 N m to 175 N m. If material of the shaft is 30C8, stress concentration factor is 1.85, notch sensitivity is 0.95 reliability 99.9% and factor of safety is 1.5, find the diameter of the shaft. The load on a bolt consists of an axial pull of 10 kN together with a transverse shear force of 5 kN. Find...
For a 10 ft long A36 solid steel shaft with diameter equaling 4", undergoing a torque of 100,000 ft lb, what is the angle of twist? The Modulus of Rigidity/Shear Modulus of A36 steel is 11x10 psi. 0.0435 rad O 233 x 104 rad O 0.522 rad O 4.66 x 10-4 rad Question 26 Which of the following corresponds to positive internal shear, using the sign convention for shear/moment diagrams in our text? Question 27 Stress is maximum at the...
A circular cross section steel bar with a Young’s modulus
E=2.1x10^11 N/m^2
and an area A=50mm^2
and a
length L=3m
is installed horizontally between and welded to two walls.
Assuming that a torque of M=5,000Nm
is applied to the bar at a distance of l=2m
from the left wall please answer the following:
a. Is this system statically determinate or
indeterminate?
b. Determine:
i. What are the reactions from the walls?
ii. Plot the variation of torque in the bar....
The 6061-T6 aluminum shaft is 1 m long and hollow from A to B
with loads applied at the midpoint and end of the shaft. Determine
the maximum shear stress in the shaft and the angle of twist at A.
The outer diameter is 80 mm and the inner diameter is 60 mm in the
hollow section.
Part II: Problem 4 (15 points) The 6061-T6 aluminum shaft is 1 m long and hollow from A to B with loads applied...
How would you draw the corresponding FBD and torque
diagram?
A magnesium tube (G-18GPa) of outer diameter 80mm and length 1m is completely bonded to a steel rod (G 75GPa) of diameter 40mm and length 1.5m as shown. Both are fixed to the wall at A. When the two external torques shown are applied to the composite shaft: (1) Draw the corresponding FBDs and torque diagram, (2) Determine the minimum and maximum shear stress 25 kN-m magnitudes in the magnesium...
au] CE 121 EXAM-1 October 01, 2014 Instructions: This is a closed book Exam, You may use the formsula sheet provided separately 50 Points Write neatly and clearly. Show all intermediate steps. Carry units throughout the solutions. Final answers must be accompanied with units where appropriate Problem 1: State true or false. Please circle your answer 1. Normal force is a foree that acts perpendicular to the area 2. Bending moment is developed when the external loads tend to twist...
Problem 1 (25 Points) Two solid steel (6-80 GPa) shafts are connected by the gears shown. Shaft (1) has a diameter of 45 mm, and shaft (2) has an outside diameter of 55 mm and wall thickness 4 mm. Assume that the bearings shown allow free rotation of the shafts. If a 400 N-m torque is applied at gear D, determine (a) the maximum shear stress magnitudes in each shaft. (b) the angles of twist ф, and ф (c) the...