3.4-3) A stepped shaft ABCD consisting of solideircular segments is subjected to three torques, asshown in the figure. The torques have magnitudes of12.5 kip-in., 9.8 kip-in., and 9.2 kip-in. The length ofeach segment is 25 in. and the diameters of the segmentsare 3.5 in., 2.75 in., and 2.5 in. The material is steel withshear modulus of elasticity G = 11.6 × 10³ ksi.(a) Calculate the maximum shear stress max in theshaft and the angle of twist , (in degrees) atend D.(b) If each segment must have the same shear stress,find the required diameter of each segment inpart (a) so that all three segments have shearfrom part (a). What is the resultingstress T,maxangle of twist at D?12.5 kip-in.|3.5 in.9.8 kip-in.| 2.75 in.9.2 kip-in.2.5 in.C.25 in.25 in.25 in.PROBLEM 3.4-3

Answered: Image /qna-images/answer/21a28349-4778-4afb-9207-b8483b5858d2.jpg

3.4-3) A stepped shaft ABCD consisting of solid eircular segments is subjected to three torques, as shown in the figure. The torques have magnitudes of 12.5 kip-in., 9.8 kip-in., and 9.2 kip-in. The length of each segment is 25 in. and the diameters of the segments are 3.5 in., 2.75 in., and 2.5 in. The material is steel with shear modulus of elasticity G = 11.6 × 10³ ksi. %3D (a) Calculate the maximum shear stress 7max in the shaft and the angle of twist &, (in degrees) at D end D. (b) If each segment must have the same shear stress, find the required diameter of each segment in part (a) so that all three segments have shear stress Tmax from part (a). What is the resulting angle of twist at D? 12.5 kip-in. 13.5 in. 9.8 kip-in. | 2.75 in. 9.2 kip-in. 12.5 in. B 1 C 25 in. 25 in. 25 in.

3.4-3) A stepped shaft ABCD consisting of solid eircular segments is subjected to three torques, as shown in the figure. The torques have magnitudes of 12.5 kip-in., 9.8 kip-in., and 9.2 kip-in. The length of each segment is 25 in. and the diameters of the segments are 3.5 in., 2.75 in., and 2.5 in. The material is steel with shear modulus of elasticity G = 11.6 × 10³ ksi. %3D (a) Calculate the maximum shear stress 7max in the shaft and the angle of twist &, (in degrees) at D end D. (b) If each segment must have the same shear stress, find the required diameter of each segment in part (a) so that all three segments have shear stress Tmax from part (a). What is the resulting angle of twist at D? 12.5 kip-in. 13.5 in. 9.8 kip-in. | 2.75 in. 9.2 kip-in. 12.5 in. B 1 C 25 in. 25 in. 25 in.

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: 7. A stepped shaft ABCD consisting of solid circular segments is subjected to three torques, as…

Q: (A,) See the figure below. There are two torques applied at B and D. Segment CD is a tube, while AB…

A: In the given problem, the dimensions and Modulus of rigidity have been converted to feet. Radius,…

Q: 3.13 The torques T and 2T are carried by a shaft consisting of steel and aluminum segments. If the…

A: Given:ζs=14,000 psiζa=7,500 psiθmax=8Gs=12*106 psiGa=4*106 psi

Q: 3.4-1 A stepped shaft ABC consisting of two solid circular segments is subjected to torques 7, and…

Q: A solid shaft is subjected to a torque and an axial load as shown in Figure-2. a) Determine the…

A: d=100mmT=5 kNm=5×106 NmmF=100 kN=100×103 N

Q: composite shaft is made by slipping a bronze tube of 3-in. outer diameter an -in. inner diameter…

Q: The shaft shown in the figure is machined from AISI 1040 CD steel. The shaft rotates at 1600 rpm and…

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

Q: A 40-mm diameter hole is drilled 3-m deep into the steel shaft. When the first torque is removed at…

Q: 302. Two solid shafts of different materials are rigidly fastened together and attached to rigid…

Q: A solid shaft in a rolling mill transmits 20 kW at 2 revolutions per second. The length of the shaft…

Q: 3.18 The solid compound shaft, made of three different materials, carries the two torques shown. (a)…

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: 3. A cylindrical rod is composed of two pieces of different diameters. Both pieces are made of the…

A: As per given Question TB=4000 in-lb TD=3000 in-lb JAC=4 in4 JCD=2 in4 L=10 in G=10×106 We have…

Q: Calculate the amount of torque generated by the rod with circular cross-section as shown in the…

A: Given: Force = 48 lb Diameter = 5 in.

Q: 4m solid core steel shaft with 50 mm diameter is fixed at its ends. It is subjected to a 400 N-m…

Q: 1.5 kN m 4 kN m Steel Aluminum Bronze 100 mm 75 mm 3 m 2 m -1.5 m- C FIG. P3.12 FIG. P3.11 3.12 The…

A: Answer: (a) Maximum shear stress in each material : ◆ Aluminum : 28.0 MPa. ◆ Steel and Bronze :…

Q: 2. A shaft is designed to carry torque as shown below. The shaft consists of a steel rod which is…

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

100%

3.4-3) A stepped shaft ABCD consisting of solid
eircular segments is subjected to three torques, as
shown in the figure. The torques have magnitudes of
12.5 kip-in., 9.8 kip-in., and 9.2 kip-in. The length of
each segment is 25 in. and the diameters of the segments
are 3.5 in., 2.75 in., and 2.5 in. The material is steel with
shear modulus of elasticity G = 11.6 × 10³ ksi.
(a) Calculate the maximum shear stress max in the
shaft and the angle of twist , (in degrees) at
end D.
(b) If each segment must have the same shear stress,
find the required diameter of each segment in
part (a) so that all three segments have shear
from part (a). What is the resulting
stress T,
max
angle of twist at D?
12.5 kip-in.
|3.5 in.
9.8 kip-in.
| 2.75 in.
9.2 kip-in.
2.5 in.
C.
25 in.
25 in.
25 in.
PROBLEM 3.4-3

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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

Homework help
2. The figure below shows a shaft with pulley and gear. Find the location along the x axis where the normal and shear stresses are the greatest. Create an element drawing of the stress state at this location. Find the principal stresses. Hints:1. the shaft diameter is not given, but you can find the stresses as a function of diameter. 2. Because the shaft is rotating, the maximum normal stress can be determined by using the resultant moment. 1. 622 YA ΤΑ 6 in. - 4 in. Gear/ 600 lb 2000 lb 79 Fp=? 12 in. 200 lb 1 +3 in.-102 D 8 in. Pulley B X
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
A shaft ABCD is shown in Figure 3 with total length, L = 2.1 m. The shaft BC is hollowwith inner and outer diameters of 90 mm and 120 mm, respectively. Shafts AB and CDare solid with diameter d. Given the torque at A, B, C and D is 6 kNm, 14 kNm, 26 kNmand 6 kNm, respectively.a) Determine the maximum and minimum shearing stress in shaft BC. b) Calculate the required diameter, d of shafts AB and CD if the allowable shearingstress in these shafts is 65 MPa.
1) The rotating solid steel shaft (Fig.1 a) is simply supported by bearings at points B and C and is driven by a gear (not shown) which meshes with the spur gear at D, which has a 150 mm pitch diameter. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point “A" of TA = 300 N.m. There is a step at point "C" as shown in Fig.1 (b), assume that D/d ratio is 1,09 and fillet radius (r) is 2,5 mm. a) Find the stress concentrations at point "C" due to bending and shear loads (Initially assume d=50mm). If the shaft is machined from quenched and drawn steel with Sy= 420 MPa and Sut=560 MPa and b) using a factor of safety of 2.5, determine the minimum allowable diameter of the shaft at "C" based on a static yield analysis using the distortion energy (DE) theory. If the shaft with a diameter (d) of 32 mm is made of a brittle material with Suc = 420 MPa and c) Sut=360 MPa, determine the factor of safety of the shaft at "C" based on a static analysis…
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 splined ends and gears attached to the steel shaft are subjected to the torques shown in Figure 4. Take G = 75 GN/m². (i) (ii) Determine the location along the 40 mm diameter shaft where the shear stress is largest and plot the variation in shear stress from the shaft centre to its outer surface. Determine the angle of twist of sections C, D, and B relative to end A by producing a graphical plot of the variation of angle of twist from end A to end B (wind-up diagram). 300 N-m 500 N-m A www. 300 mm 200 N.m MAAN 400 mm Figure 4 500 mm 400 N-m
I am struggling with this question
3.12 The solid compound shaft, made of three different materials, carries the two torques shown. (a) Calculate the maximum shear stress in each material. (b) Find the angle of rotation of the free end of the shaft. The shear m oduli are 28 GPa for alu- minum, 83 GPa for steel, and 35 GPa for bronze. 4 kN m Steel 1.5 kN m Aluminum Bronze 100 mm 75 mm -3 m- 15m- 2m- FIG. P3.12
Please help. This problem involves torsional stress and strain. Thank you.