Given:
Diameter of the shaft,d=50 mm=0.05 m
Modulus of rigidity,G=75 GPa=75*109 Pa
Solution:
In the next fig.I have drawn the diagram of the problem in which I have named some points in the fig.
[Note:The unit of uniformly distributed twisting moment is given in kN-m.But it should be in kN-m/m.It is similar to uniformly distributed load unit which is given in N/m and concentrated load is given in N.May be there is printing mistake.]
We know that,angle of twist() of any rod is given as:
Where, T is the twisting moment applied in N-m
L is the length of the rod in m.
G is the moduluds of rigidity in Pa.
J is the polar moment of inertia in m4
For circular rod of diameter,d=50 mm=0.05 m,
Putting the value
Now I will derive epression of for section BC.
Consider any rod in which uniformly distributed twisting moment(t) is applied throughout its length,L
In the next fig. I have derived expression of for section BC.
Now due to uniformly distributed twisting moment is for length,L=0.8 m
Putting the values in the above expression
---Clockwise
Now angle of twist due TC=600 N-m applied at point C
Putting the values in the above expression
---Anticlockwise
Now angle of twist due TA=230 N-m applied at point A
Putting the values
The net angle of twist at free end point A
Putting the values by taking care of sign convention.
---[Taking clockwise twisting as +ve and anticlockwise as -ve]
or in clockwise direction.
Angle of twist at free end A()=0.00647 rad=0.37070 clockwise [Ans]
***Thank you.If you found this solution helpful then please give a thumbs up and any feedback regarding solution in the comment box is appreciated.***
The 50-mm-diameter solid shaft is made of A-36 steel and is subjected to the distributed and...
The 50-mm-diameter solid shaft is made of A-36 steel and is subjected to the distributed and concentrated torsional loadings shown where T = 140 N-m. 2 kNm 600 Nm B 0.8 m 0.6 m A Part A Determine the angle of twist at the free end A of the shaft due to these loadings. Use Gst = 75.0 GPa Express your answer to three significant figures and include appropriate units. μΑ ? 22 % Å O 0.303 Submit Previous Answers...
The 50-mm-diameter solid shaft is made of A-36 steel and is subjected to the distributed and concentrated torsional loadings shown where T = 140 N-m. 2 kNm 600 Nm B 0.8 m 0.6 m A Part A Determine the angle of twist at the free end A of the shaft due to these loadings. Use Gst = 75.0 GPa Express your answer to three significant figures and include appropriate units. μΑ ? 22 % Å O 0.303 Submit Previous Answers...
The 50-mm-diameter solid shaft is made of A-36 steel and is subjected to the distributed and concentrated torsional loadings shown where T = 140 N-m. 2 kNm 600 Nm B 0.8 m 0.6 m A Part A Determine the angle of twist at the free end A of the shaft due to these loadings. Use Gst = 75.0 GPa Express your answer to three significant figures and include appropriate units. μΑ ? 22 % Å O 0.303 Submit Previous Answers...
A solid shaft with 100-mm-diameter is made of cast iron and is subjected to the distributed and concentrated loadings as shown in Figure 9. The shear modulus of cast iron is 39GPa. (A) Determine the angle of twist at the free end A of the shaft due to these loadings. [9 marks] (B) Determine the maximum shear stress in this shaft. [4 marks] (C) Cast iron is a brittle material with an ultimate strength of 260MPa. Determine whether this structure...
The 60-mm-diameter solid shaft is subjected to the distributed and concentrated torsional loadings shown. Determine the absolute maximum and minimum shear stresses in the shaft's surface and specify their locations, measured from the free end. 10-25. The solid shaft is subjected to the distributed and concentrated torsional loadings shown. Determine the required diameter d of the shaft if the allowable shear stress for the material is Tallow = 60 MPa. 400 N·m 4 kN.m/m А. < 0.2 m 0.2 m...
The solid shaft is subjected to the distributed and concentrated torsional loadings shown, where T 330 Nm. 2 kN·m/m 0.4 m 600 N m 0.4 m 0.3 m 0.3 m Q Tap image to zoom The allowable shear stress for the material is Tallow-160 MPa. Part A Determine the required diameter d of the shaft Express your answer to three significant figures and include appropriate units. alue Units Submit Request Answer
Part A The 56-mm-diameter solid shaft is subjected to the distributed and concentrated torsional loadings shown, where T-470 N-m(Figure 1) Determine the absolute minimum shear stress on the shall's surface, and specify its location, measured from the fixed end C Express your answers, separated by a comma, to three significant figures. VAE 11 vec o ? T min MPa.mn Submit Request Answer Figure 1 of 1 Part B 2 kN.m/m Determine the absolute maximum shear stress on the shaft's surface,...
The solid shaft is subjected to the distributed and concentrated torsional loadings shown, where T = 410 N·m. 2 kN.m/m 0.4 m / B 600 N·m A 0.4 m d The allowable shear stress for the material is Tallow = 175 MPa. Part A Determine the required diameter d of the shaft.
5. A 38-mm-diameter solid steel shaft, 2 m long, is subjected to a torque of 600 N.m, as shown below. The steel is AISI 1020 hot-rolled. Calculate a) The maximum torsional shear stress b) The angle of twist, ?, in degrees, ifG2 79.3 x 10"MPas 79.3 x 10, N/m2 Te TL Recall radian 57.3 32 JG
The 55-mm-diameter A992 steel shaft is subjected to the torques shown where T = 730 N-m. 400 Nm B 200 Nm 300 mm 1 600 mm 2 600 mm A Part A Determine the angle of twist of the end A Express your answer to three significant figures and include appropriate units. НА ? Value Units Submit Request Answer