Q.1: A shaft composed of segments AB, BC is fixed between the two walls at A and C and loaded as shown in Figure below. For steel has a 25 mm circular cross section, shearing modulus G - 83 GPa. For aluminum has a 30 mm circular cross section, shearing modulus G- 28 GPa Determine: The two torques at supports A and C 2AN.m B 3m 4m Steel aluminum Di-25mm Di-30mm G-83GPa G-28GPa

Q.1: A shaft composed of segments AB, BC is fixed between the two walls at A and C and loaded as shown in Figure below. For steel has a 25 mm circular cross section, shearing modulus G - 83 GPa. For aluminum has a 30 mm circular cross section, shearing modulus G- 28 GPa Determine: The two torques at supports A and C 2AN.m B 3m 4m Steel aluminum Di-25mm Di-30mm G-83GPa G-28GPa

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A metal shaft ABCD with variable cross-section is subjected to three external torques (T₁=28 kip- in, T2=8 kip-in, and T3=10 kip-in) as shown in the figure below. Each torque is acting at the locations marked with circular points along the shaft. Note that a 16-inch long segment of the shaft at the free end (right) has a 1-inch diameter bore. The dimensions (lengths and diameters) of the shaft are given in the figure. Assume deformation is linear elastic and take G=12×106 psi. D [3" 16"- X C T₁ 2" -32"- T₂ 1" diam. bore B -16"- A T3 the bar has a uniform diameter d along its full length, but external torques remain the same and are applied at the same locations. If the failure shear stress for the material is equal to Tfail = 10 ksi, and the factor of safety is equal to 2, determine the required (uniform) diameter d for the bar. Assume that the bar is solid for its entire length.
Problem 2. Each segment of bar ABC has length L. and shear modulus G and both segments have solid circular cross sections. Torque per unit length t(x) is applied between points B and C. The diameter of segment AB varies linearly from 2d at point A to d at point B. In terms of the given quantities, a) Find the torques at A and C. b) Find the twist angle os at point B. G 2d A -L d B G *(x) = to (²=²) ² C to x
Question #2: The 1.0-in-diameter solid steel shaft shown in figure is simply supported at the ends. Two pulleys are keyed to the shaft where pulley A is of diameter 8.0 in and pulley B is of diameter 5.0 in. (1) Determine the reaction forces (2) Draw the shear force and bending moment diagrams (3) Draw the torsion diagrams 300 lbf 1 dia. 5 dia. 50 lbf 8 dia. 470 lbf 6 00 70 lbf
The A36 steel shafts as shown in the figure below are made from two segments: solid segment AC with diameter = 1 in and a hollow segment CB with an outside diameter = 2 in and inside diameter = 1 in. The shaft is fixed at both ends. Determine the magnitude of the applied torque T (lb-in) if the reaction at A is 600 lb-in clockwise.
Two solid circular shafts (i.e., AB and BC) are fixed to rigid walls at point A and C, respectively. Members AB and BC are coupled together through a rigid plate at B. As shown in the figure, an external torque is applied at point B. Determine the absolute maximum shear stress developed in the whole structure AC. Both members AB and BC are made of the aluminum alloy with shear modulus G = 60 GPa. 150 mm 100 mm B 10 mm 5 kN-m Note: ignore the effect of stress concentration. 20 mm
Figure Q1 shows a shaft AB (modulus of rigidity G = 73 GPa) with a total length of 1270 mm that is fixed at both ends. Section AC is solid with a diameter of do = 80 mm, while CB is a hollow section with an internal diameter of di = 60 mm. An external torque T0 = 10 kN.m is applied at point D. (a) Determine the magnitude of the reaction torques at both supports if the distance x = 735 mm.
A compound shaft consists of an aluminum tube (1) securely jointed to a steel tube (2). Both aluminum and steel tubes have an outside diameter of D= 48 mm and a wall thickness of t= 3 mm. The shaft is secured by a fixed support at one end and is subjected to a torque of T= 115 N.m at the other end. Determine the maximum stress in the shaft.[L1 = 200 mm, L2 = 350 mm, D = 48 mm , t = 3 mm, G = 75 GPa]
A fixed-end shaft is subjected to torques T1 (Nm) and T2 (Nm) as shown in the figure. If the shear modulus of elasticity is Gahat= 20 GPa, and shaft diameters are D, (mm) and D2 (mm) determine the angle of twist at point C, ØCIA- D1=100mm D2=30mm T1=800NM T2=200NM D1=100mm T(Nm) B D2=30mm |T;(Nm) A L=300mm Section for point A =900mm Section for points B and C Results Table ОСА (rad.)-
Consider two steel shafts CFG and HJ of diameters 50 mm and 70 mm respectively as shown in fig. The shaft CFG is supported at two bearings, while shaft HJ is fixed at 'H' and supported by bearings at 'J. Determine the torques T 1 and T 2 if the twisting at gears C and G is required to be 0.05 rad. Take E=205GPA, G=70GPA 600 mm 75mm 600 mm 50mm 800mm G. T2