1. A flanged bolt coupling consists of eight 12 – mm diameter steel bolts on a bolt circle of 300mm in diameter and six 10 – mm diameter steel bolts on a concentric bolt circle of 200mm in diameter, as shown in the figure. What torque can be applied without exceeding a shearing stress of 55 MPa in the bolts. 150mm 100mm Figure 3.6.2

1. A flanged bolt coupling consists of eight 12 – mm diameter steel bolts on a bolt circle of 300mm in diameter and six 10 – mm diameter steel bolts on a concentric bolt circle of 200mm in diameter, as shown in the figure. What torque can be applied without exceeding a shearing stress of 55 MPa in the bolts. 150mm 100mm Figure 3.6.2

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

1. A flanged bolt coupling consists of eight 12 – mm diameter steel bolts on a bolt
circle of 300mm in diameter and six 10 – mm diameter steel bolts on a concentric
bolt circle of 200mm in diameter, ss shown in the figure. What torque can be spplied
without exceeding a shearing stress of 55 MPa in the bolts.
150mm
100mm
Figure 3.6.2
2. A torque of 6500 ib. ft is to be carried by a flanged bolt coupling that consists of
eight - in. diameter steel bolts on a bolt circle of diameter 12 - in. and six -
in. diameter steel bolts on a bolt circle of diameter 9 - in. Detemine the shearing
stress in the bolts.
9 in.
12 in.
Figure 3.6.3

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Design a flanged coupling that will be able to carry power of 1,500 HP using a factor of safety of 3.3 at 630 rpm. The shaft diameters of the equipment the coupling will connect are both 5 inches. Check your design for the following stresses if N = 3.3 is satisfied: 1. Bolt shearing; 2. Bolt bearing; 3. Shearing of hub from coupling flange; 4. Shear on key; 5. Compression on key; Select dimensions whichever is higher. 6. Calculate also minimum length of engagement of the bolt and nut if these are of the same material. 5 inch dia. shafts coupling to connect the equipment shafts. Note: use 4 bolts only Instructions:
A coupling must transmit 30 hp at a speed of 175 r/min. 3/8 inch diameter bolts are arranged in a single 6 inch diameter circle. The shear stress in the bolts should not exceed 5,000 psi. What is the minimum number of bolts that should be used? Answer: seven bolts
M16 x 2.0 ISO 5.8 coarse series bolts and nuts clamp a 26-mm-thick steel cover plate to a 6-mm-thick steel flange. Steel washers (Size: 16R) are used under the head of the bolt and also under the nut . Assume E = 207 GPa- (a) Determine a suitable length for the bolt, rounded up to the nearest 5 mm. (b) Determine the bolt stiffness. (c) Determine the stiffness of the members. (d) Determine the stiffness of the joint.
Answer number 2 Good handwriting
SN= 50 kN Be careful on the units used.
A flange coupling having six bolts on a pitch circle radius of 300 mm connects two hollow shafts with an outside diameter of 400 mm. The diameter of each bolt is 65 mm and the limiting shear stresses in the bolts are to be the same as that for the shafts, (a) Calculate the inside diameters of the shafts, (b) Take G as 80 GPa and calculate the angle of twist in degrees over a shaft length of 5 m for a working stress of 60 MPa.
Problem 2: A shaft is to be fitted with a flanged coupling having 6 bolts on a circle of diameter 150 mm and 4 bolts on a circle of diameter 100 mm. The shaft may be subjected to either a direct tensile load of 400 kN or a twisting moment of 18 kN-m. If the maximum direct tensile and shearing stresses permissible in the bolt material are 125 MPa and 55 MPa respectively. Find the minimum diameter of the bolt required. Assume that each bolt takes an equal share of the load or torque. Outer bolt Shaft circle Shaft Bolt Inner bolt Flange circle
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