Section A A solid shaft is firmly held at both ends and carries two comparatively thin disks, as shown in Figure 1. The left-hand disc carries a torque of 12x10³ N.mm while the other carries a torque of 18x10³ N.mm in the same direction. The diameters of the shafts are also shown in Figure 1. Determine the following: the rotation of each disc, (ii) the reaction torques at the ends of the shaft, and (iii) the internal torque and maximum sheer stress in the left-hand portion of th shaft. The shaft material has a modulus of rigidity of 70x10³ N/mm². 12x10³ N.mm 18x10³ N.mm Ø 30 mm 210 mm 1. (a) Ø 25 mm 480 mm Figure 1 Ø 35 mm 210 mm

Section A A solid shaft is firmly held at both ends and carries two comparatively thin disks, as shown in Figure 1. The left-hand disc carries a torque of 12x10³ N.mm while the other carries a torque of 18x10³ N.mm in the same direction. The diameters of the shafts are also shown in Figure 1. Determine the following: the rotation of each disc, (ii) the reaction torques at the ends of the shaft, and (iii) the internal torque and maximum sheer stress in the left-hand portion of th shaft. The shaft material has a modulus of rigidity of 70x10³ N/mm². 12x10³ N.mm 18x10³ N.mm Ø 30 mm 210 mm 1. (a) Ø 25 mm 480 mm Figure 1 Ø 35 mm 210 mm

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

3.36 The torques shown are exerted on pulleys B, C, and D. Knowing that the entire shaft is made of aluminum (G = 27 GPa), deter- mine the angle of twist between (a) C and B, (b) D and B. 30 mm 0.6 m A 0.8 m 400 Nm B 30 mm 1m 900 N-m 36 mm 0.5 m 36 mm 500 Nm CN
The torques shown are exerted on pulleys A and B which are attached to solid circular shafts AB and BC. In order to reduce to total mass of the assembly, detemine the smallest diameter of shaft BC for which the largest shearing stress in the assembly is not increased. TA = 300 N m 30 min B TH = 400 N- m 46 nn
1. A compound shaft consisting of a steel segment and an aluminum segment is acted upon by two torques as shown in Fig. P-316. Determine the maximum permissible value of T subject to the following conditions: Tst < 83 MPa, tal < 55 MPa, and the angle of rotation of the free end is limited to 6°. For steel, G = 83 GPa and for aluminum, G = 28 GPa. Steel 2T Aluminum 50 mm Ø 40 mm Ø 900 mm 600 mm
The outer diameter of the solid steel pipe shown in the figure is 25 mm. If the pipe is fixed at point E as in the figure andIt is subjected to a force of 800 N, a torque of 45 N.m and a moment of 300 N.m, applied from the other end of the pipe as in the figure.if left, it will occur at point A;(a) Principal planes (@p1, Opz),(b) Principal stresses (Omax, Omin),(c) the view of the principal plane, Note: Point A is on the top and outer surface of the steel pipe. The line AB is parallel to the z-axis andpassing through the center
Calculate the reactions on the beam bearings in the case of loading in the figure? Solve correctly please.
The solid shaft that is fixed connected at both ends has a diameter of 20 mm and a total length of 2m. If it is subjected to two torques 500 N.m clockwise, positioned 0.3 m from the support A and 800 N.m counterclockwise positioned 0.2 m from the support D. Determine the reactions at fixed supports A and D. Express your final answers in N.m.
The system lamp has a mass M and is supported by the six strings shown. The length of the chords and the horizontal distance ED are constant, point E remains fixed but the vertical distance ED can vary. a) If in the position shown the chord BC is horizontal, calculate the angle ? to maintain equilibrium, consider the mass M = 10 kg. b) Explain what happens to the magnitude of the stresses when point D moves.
1) A couple is acting at the base of the member of a machine and the magnitude of one of the forces is 100 N as shown in the figure. Then the couple is replaced by an equivalent couple with 400 N forces (P and -P). Find the new angle to maintain the same couple moment acting on the column. -P 100 100 N 20 100 M 100 60 100 N Dimensions in millimeters
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 Steel aluminum Di-30mm Di-25mm G-83GPa G-28GPa
A compound shaft consisting of a steel segment and an aluminum segment is acted upon by two torques as shown in Fig. P-316. Determine the maximum permissible value of T subject to the following conditions: Tst ≤ 83 MPa, Tal ≤ 55 MPa, and the angle of rotation of the free end is limited to 6°. For steel, G = 83 GPa and for aluminum, G = 28 GPa. Steel 50 mm Ø 900 mm 2T Aluminum 40 mm Ø Figure P-316 600 mm
A hollow aluminium shaft of 80 mm outer diameter & 60 mm inner diameter is rotating @ 5 Hz when constant 120 KW is applied. Use the following: G(alum)=28 GPa, a=1.80 m, b=0.80m & L=2.60 m. Assumed that the angle of twist is constant. The torque "T1" developed at left fixed support at a is ___KN-m A 3.82 B 1.18 2.64 0.48 5.03 E
The steel hollow shaft is rigidly attached to a solid bronze shaft by a bolt coupling. A maximum torque T can be applied to the ends of the shaft without failure. Use G = 83 GPa for steel and G = 35 GPa for bronze. 100 mm [ 70 mm †70 mm 1.5 m 2 m 1. Determine the maximum torque T in kN-m without exceeding a shear stress of 70 MPa in steel and 50 MPa for bronze. C) 8.56 A) 10.44 Determine the maximum torque T in kN-m without exceeding an angle of twist of 2.5° in the 3.5-m length. A) 1.20 Determine the number of 16 mm bolts required to attach the two shafts if the B) 9.82 D) 7.35 2. B) 13.51 C) 2.40 D) 12.68 3. allowable shear stress in each bolt is 30 MPa and the diameter of bolt circle is 150 mm. A) 4 B) 5 C) 6 D) 7 1A O 18 O 10 O 1D O 2A 28 20 O 2D ЗА 3B 30 O 3D O O O O O O O O O O O O