The shaft in Figure Q2.1 consists of three sections of different diameters and shear moduli as shown. It is fixed to a wall at A and loaded at points B.C and D. GAB 50 GPa AB= 60 mm 30 kNm 0.1 m Gac-70 GPa dac-80 mm 0.2 m Fig. Q2.1 GCD=50 GPa dcp = 40 mm с 20 kNm5 kNm 0.1 m D (a) Draw the Torque diagram for the shaft AD. Show all of your working and indicate all key values. (b) Determine the angle of twist for each section of the shaft (AB, BC and CD) and the total angle of twist between A and D. (c) If the shear strength for the entire shaft is 400 MPa, determine the maximum torque each section can withstand.

The shaft in Figure Q2.1 consists of three sections of different diameters and shear moduli as shown. It is fixed to a wall at A and loaded at points B.C and D. GAB 50 GPa AB= 60 mm 30 kNm 0.1 m Gac-70 GPa dac-80 mm 0.2 m Fig. Q2.1 GCD=50 GPa dcp = 40 mm с 20 kNm5 kNm 0.1 m D (a) Draw the Torque diagram for the shaft AD. Show all of your working and indicate all key values. (b) Determine the angle of twist for each section of the shaft (AB, BC and CD) and the total angle of twist between A and D. (c) If the shear strength for the entire shaft is 400 MPa, determine the maximum torque each section can withstand.

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

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

Q2
The shaft in Figure Q2.1 consists of three sections of different diameters and shear moduli as
shown. It is fixed to a wall at A and loaded at points B.C and D.
GAB 50 GPa
dAB = 60 mm
30 kNm ++
0.1 m
Q2 contd.
B
**
GRC = 70 GPa
dac = 80 mm
0.2 m
Fig. Q2.1
Gcp= 50 GPa
dep 40 mm
C
20 kNm
Fig. Q2.2
0.1 m
D
(a) Draw the Torque diagram for the shaft AD. Show all of your working and indicate all key values.
(b) Determine the angle of twist for each section of the shaft (AB, BC and CD) and the total angle
of twist between A and D.
5 kNm
(c) If the shear strength for the entire shaft is 400 MPa, determine the maximum torque each
section can withstand.
Ø 120 mm
3 bolts
equally
spaced
MEE1004/2021
(d) The shaft is to be fixed to the wall at end A via a flange with 3 equally spaced bolts, on a pitch
circle diameter of 120 mm, as shown in Figure Q2.2. If the bolt material has a shear strength
of 300 MPa, determine the minimum diameter of the bolts.

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