Q.6. A circular bar AB with ends fixed against rotation has a hole extending for half of its length as shown in figure below. The outer diameter of the bar is da= 3.0 in. and the diameter of the hole is di = 2.4 in. If the shafts material is steel with shear modulus G = 11 x -25 in. 3.0 in. -25 in. To %3D 10 psi, and the torque is To = 8,000 lb-in. Calculate: 2.4 3.0 in in. (a) The maximum and the minimum shear stress in segment CB. Fig (6) (b) The angle of rotation Ø, with respect to point A.

Q.6. A circular bar AB with ends fixed against rotation has a hole extending for half of its length as shown in figure below. The outer diameter of the bar is da= 3.0 in. and the diameter of the hole is di = 2.4 in. If the shafts material is steel with shear modulus G = 11 x -25 in. 3.0 in. -25 in. To %3D 10 psi, and the torque is To = 8,000 lb-in. Calculate: 2.4 3.0 in in. (a) The maximum and the minimum shear stress in segment CB. Fig (6) (b) The angle of rotation Ø, with respect to point A.

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

Related questions

Q: A beam with the cross section geometry and dimensions as shown in the figure and parameter table is…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Q.I: A shaft composed of segments AB, BC is fixed between the two walls at A and C and loaded as…

Q: The ultimate stress for the hitch ball is 60,000 ksi. (Capacity) The advertisement information is…

Q: A circular tube of inner radius r1 and outer radius r2 is subjected to a torque produced by forces P…

A: a-calculate the r2 the minimum permissible outer radius of the tube given…

Q: A hollow aluminium tube used in a roof structure has an outside diameter 104mm and an inside…

A: A) Angle of twist for the given max shear stress in a hollow shaft: The angle of twist of a hollow…

Q: The solid shaft shown in the figure below is fixed at one end and has a lever at the other. The…

Q: 5. The equilateral triangular tórsión member has sides equai lU D thickness t (Figure a). Figure b…

A: TMAX=100mpaG=70×103 mpab=16cmt=1cmTJ=ζr=GθLwhere θ and L consider as 1

Q: A vertical shaft DA is attached vertically to a fixed base at A and is subjected to the torques as…

Q: A 1.25-in-dia solid steel shaft with several twisting couples is shown in figure 1. For TA = 10000…

A: Given data: TA= 10000 lb.inTB= 20000 lb.inTC= 30000 lb.ind=1.25 in Need to determine the magnitude…

Q: A circular steel shaft with length, L (m) has an outer diameter, d2 (mm) and inner diameter, d1…

A: To find: The angle of twist in degrees. Given: The inner diameter is d1=100 mm1 m1000 mm=0.1 m. The…

Q: A bar of steel has the minimum properties Se= 40 kpsi, Sy = 60 kpsi, and Sut = 80 kpsi. The bar is…

A: Given:The endurance stress is The yield stress is The ultimate stress is The steady torsion stress…

Q: When drilling a hole in a table leg, a furnituremaker uses a hand-operated drill (see figure) with…

A: The shear stress in the bar, when it is subjected to torsional moment can be calculated using the…

Q: A torsional moment T = 8,867 Nm and a load P = 59,372 N are applied at the same time to a circular…

A: Given data:- Torque (T) = 8867 N-m Force (p) = 59372 N Inner diameter = 49 mm Outer diameter = 70…

Q: A torsional bar is subjected to two external torques (10Nm and 5Nm) and a distributed torque…

A: according to the details given above

Q: A flat bar with a hole (see figure) has widths b = 60 mm and c = 40 mm. The fillets have radii equal…

A: b = 60 mm c = 40 mm R = 5 mm to determine diameter dmax of the largest hole

Q: 4, 10.9 grade high strength bolts with friction type, diameter of bolt is d=22mm, the hole of bolt…

A: To find: The pretension force on each bolt and the maximum value of moment. Given: The diameter of…

Q: 4 kN 3 kN 375 mm 375 mm B 750 mm As shown in the figure, the shaft is supported by bearings A and B…

A: Given data Material used A36 Diameter of the shaft = 50mm To determine the maximum theoretical…

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

Q.6. A circular bar AB with ends fixed against rotation has a hole
extending for half of its length as shown in figure below. The outer
diameter of the bar is d2 = 3.0 in. and the diameter of the hole is di
= 2.4 in. If the shafts material is steel with shear modulus G
-25 in-
25 in.-
4 3.0 in.
To
11 x
OF
10 psi, and the torque is T, = 8,000 lb-in. Calculate:
2.4
in.
3.0
in.
Fig (6)
(a) The maximum and the minimum shear stress in segment CB.
(b) The angle of rotation Ø, with respect to point A.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A motor driving a solid circular steel shaft transmits 30 kW to a gear at B (as shown). The allowable shear stress in the steel is 40 MPa. G=70 GA (a) What is the required diameter d of the shaft if it is operated at 1500 rpm? (b) What is the required diameter d if it is operated at 3000 rpm? (c) If the length of the shaft from the motor to the gear is 1 m, what are the angles of twist for the two speeds of rotation? Motor Motor
r2, E, , E L2 Two aluminum circular shafts (E=70GPA) are mounted according to the figure. The two shafts have the following dimensions: r1 = 6.9mm r2 = 11.1mm L1= 1.52m L2 = 1.29m. If the load applied is P = 2.1 kN, what is the displacement at the point of application of P in mm (accuracy of 5%)?
A 50-in long cantilever circular bar ABC is subjected to a torque T acting at point B, located at a distance x from the fixed support A and a torque T/3 applied at point C, with the senses shown in the figure. The cross-section of the bar is solid for segment AB and it has an internal cylindrical hole in the BC segment, as also shown in the figure. Assume that G = 3,770 ksi and T = 12kip.ft. A T B C T/3 L = 50 in 3 in 2.4 in 3 in Cross-section of segment AB Cross-section of segment BC Figure 3.1: Cantilever shaft with external loads and cross-sections a) Draw the torsion moment diagram for the bar ABC. b) If the angle of twist at point C is equal to opc = 0.047 rad, find the value of the distance x. c) Calculate the angle of twist at point B. d) Calculate the maximum shear stress in segment AB and segment BC of the bar and show the stress distribution in the cross-section for each case. Show all important values in the sketch of the stress distributions.
A steel stepped shaft ABCD fixed at A is subjected to three torques at points B, C and D, with magnitudes T₁ = 40 kip-in, T₂ = 50 kip-in and Ts= 30 kip-in and directions as shown in Figure 1.1. The segments AB and BC are solid with diameters dx = 3 in and dec = 2 in respectively, while segment CD is hollow with an outer diameter dan 1.5 in and a wall thickness of 0.25 in. The shear modulus of elasticity is equal to G=11.6x10³ ksl. T₁ T₂ 4 = 20 in A B L₂ = 20 in Figure 1.1 a) Draw the torsion moment diagram for the shaft and calculate how long should segment CD be so that the angle of twist between points B and D is equal to zero. T₁ 4₂-25 in b) If Ts is dropped, a fixed support is added at point D (as shown in Figure 1.2) and the length of segment CD is equal to 15 in, find the support reactions at points A and D and the maximum shear stress developed in segment BC. The magnitudes of the torques at points B and Care the same as in part a). B C L₂= 25 in T₂ * Figure 1.2 Hollow C Hollow…
A 3 m long steel angle shown in the figure has a section thickness of 12.7 mm and a cross sectional area of 4350 mm². Since tem = 50 MPa and G = 77.2 GPa, find the maximum applicable torque T.
F3.A shaft is composed of two 6-in. diameter sections coupled together (see figure below). Part AB is bronze and part BC is steel. A torque is applied at the free end which causes a maximum shear stress in the bronze shaft of 10,000 psi. Find the angle of twist of the free end. Assume the modulus of rigidity of bronze is 6 (106) psi and that of steel is 12(106) psi. Bronze Dia. = 6 in. A 3' Steel B Match each item to a choice: Angle of twist T
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
For the rod in the figure, an allowable stress of 10 ksi, calculate the maximum torque T which can be applied. d= 0.5 in, D= 0.835 in, r= 0.045 in .
A hollow aluminum tube used is a roof structure has an outside diameter d2=70mm and inside diameter d1= 50mm. The tube is 2.5m long and the aluminum has a shear modulus of G=28 GPa. a.) If the tube is twisted in pure torsion by torques acting at the ends, what is the angle of twist in degrees when the max shear stress is 50MPa? b.) What diameter 'd' is required for a solid shaft to resist the same torque with the same maximum stress?
SITUATION 2: Find the smallest diameter of bolt and the minimum thickness of each yoke that can be used in the clevis shown in the figure below if P = 400 KN. The shearing strength of the bolt is 300 MPa and the bearing strength is 500 MPa. € Yoke
I need the answer as soon as possible
A shaft ABCD is supported by a clamp at point A and is subjected to point torques at B, C and D, as shown in the figure. The shaft has variable cross-section and is solid in segments AB and CD and hollow in segment BC. The lengths and diameters of each segment are shown in the figure. Assume that the deformation is linear elastic and take the shear modulus of elasticity G = 12.1 × 10° psi. a) Using method of sections, plot the torsion moment diagram. b) Find the angle of twist for the free end (point D) with respect to the fixed support at A, QAD and the angle of twist for point C with respect to the fixed support at A, QCA. Find both angles in degrees. d₁ = 4 in d20 3.5 in, d2=2.5 in d3 = 3.0 in 25 kip-in 20 kip-in 10 kip-in A 20 in B с D ++ 25 in 30 in