Calculate angle of twist of B with respect of A in rad In the shaft shown in the figure, the gears are attached to the A992 steel shaft (G = 75 GPa). find the angle of twist of end Bwith respect to end A knowing that the shaft diameter is 40 mm. Consider L1 = 460 mm, L2 = 580 mm and L3 = 780 mm.400 N-m1200 N-mB600 N-mTLTTJG'32200 N-m

Answered: Image /qna-images/answer/a475515e-3a1b-469d-9d76-5fbeb51b4f34.jpg

Answered: Calculate angle of twist of B with…

Engineering

Mechanical Engineering

Calculate angle of twist of B with respect of A in rad

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.7.12P

See similar textbooks

Related questions

Q: What is the minimum displacement of a gear motor turn ing at 800 rev /min if the flow rate to the…

Q: Given: Module of the Gear is 30mm. Number of Teeth is 20. Thickness of the Gear is 80mm. Find…

Q: (b) Compute the internal torque exerted on gear A (TAC), gear C(TcD) and gear D (TDB). (c) Sketch…

Q: rm with two teeth drives a gear with 50 teeth. The gear has a pitch diameter of 8 in. and a helix…

Q: what is the MMC of shaft dimension 1.375 /- .030?

A: Given: The dimension of shaft is 1375/-0.30 MMC :MMC stand for Maximum Material Condition.

Q: How can the angle of twist of one end of a shaft or tube with respect to theother ends be…

A: Given Data: The length of the shaft is L. The diameter of the shaft is d. The moment acting on the…

Q: per of degrees of free nanism shown below is

A: introduction:here we have to find out dof

Q: 6. Q1. Find out the index movement required to mill a hexagonal Bolt by direct indexing. The rapid…

A: A hexagonal bolt has 6 sides.So circumference of a work piece is to be divided into 6 equal…

Q: Suppose you want to manufacture a spur gear of tooth thickness 0.3925 inch and base circle radius of…

A: Given: The tooth thickness, t = 0.3925 in The base circle radius, r = 4.532 in

Q: Write the general equation of the circle of center (0, 4) and radius 4. Figure is not required.

A: The generalized equation of a circle with centre at origin and radius = r units is as given below:…

Q: Find the relationship between the key length (1) and the diameter (d) of shaft with considering any…

A: d is the diameter of the shaft l is the length of the key

Q: The torque of a rotated gear wheel is MB = 10 Nm and the torque of the rotating wheel is MA = 50 Nm.…

Q: Calculate the pitch diameter of a M10 × 1.5

A: given data; Calculate the pitch diameter of a M10 × 1.5

Q: A circular shaft with diameter 50mm and its length is 850mm long and is made of steel,The shaft is…

Q: solid shaft of 400 mm diameter by a hollow shaft of same material. For saving 25% material, find the…

A: given:d=400mm

Q: Calculate the bending moment at point B and upload your file in the next question where you draw the…

Q: Two gears are calibrated so that the larger gear drives the smaller gear. The larger gear has a…

A: One complete rotation of the larger gear will make the circumference of the larger gear as the…

Q: Gear 1 has a module of 4 mm/tooth and 25 teeth. This gear drives Gear 2 whose speed is 410 rpm. The…

A: The module of gear 1 is m1=4 mm/tooth. The number of teeth on gear 1 is T1=25. The speed of gear 2…

Q: 1. A gear has a pitch of 10 m and diametral pitch of 6, calculate the outside diameter.

A: As per company policy, we are restricted to solve only one question at a time. Please ask second…

Q: A hollow round steel shaft has a torque of 600 ft-lb. The shaft has an outside diameter of 1.25 in,…

Q: The angle of twist for a shaft subjected to twisting torque can be expressed by the equation ?

A: About the angle of twist for a shaft subjected to twisting torque can be expressed by the equation

Q: angle of twist (a) between A and B, (b) between B and C, um (c) At C

Q: Hey there! Calculate the IMA of the interlocking gears shown if the larger wheel (30 teeth) is…

Q: Question.01 Figure TQ3.1 shows two shafts, A and B, arrange in parallel line are geared together…

A: Given DataMA=3mm=MCMD=MB=4.5mmZA=ZD=30

Q: 4- Find the gearing ratio for the given compound gears shown in figure 10. 5- Given that the torque…

A: Given:Number of teeth on smaller gears, Zs=10Number of teeth on larger gears, Zl=20Torque of the…

Q: How is the angle of twist of a circular shaft determined?

A: Angle of twist When the torsional load is applied on the free end of the shaft, then the fixed end…

Q: Find the pitch for an internal thread, if the depth of thread is 1 mm. Pitch (in mm) = %3D

A: Given: Depth of thread (d) = 1 mm To find: Pitch for an internal thread

Q: wo shafts having the same length and material are joined in series. If the ratio of the diamete

A: Given Data⇒ Material and length of shaft is same. Ratio of the diameter of the first shaft to that…

Q: Find the degrees of freedom using grueblers equation

Q: Find the depth of thread in mm for an internal thread, if the pitch is 4.25 mm. Depth of thread (in…

Q: If the arc of contact of a gear is is 34 mm and the radius of the gear is 80 mm then what will the…

A: Given data: - The arch of contact is Aoc = 34 mm. The radius of the gear is r = 80 mm.

Q: What would be the maximum torque T' if a 75-mm-diameter hole were bored through the shaft?

A: (A) The calculation for maximum torque: - From the torsion equation, the formula for torque is given…

Q: Define the term Angle of Twist?

A: Whenever a twisting moment is applied on the shaft, the shaft's cross-section tends to rotate or…

Q: spur gear has pitch diameter of 3.5 , calculate its circular pitch

A: Given data There should be Diametral pitch diametral pitch = 3.5

Q: 20. Ina simple gear train mechanism, a drive gear has 160 teeth in mesh with driven gear has 20…

A: in order for two gear to mesh they must have the same module . module = d/t where , d= pitch…

Q: rod is G. The expression for d to produce an angular twist 0 at the free end is

A: Given data; As shown in fig, Torque T is applied at the free end of a stepped rod of circular…

Q: 4- Find the gearing ratio for the given compound gears shown in figure 10.

A: We can answer the first question for you since the exact one is not specified. Please resubmit the…

Q: spur gear has a pitch diameter 3. Calculate its clearance

Q: 30mm diameter copper (G-4S GPa) shaft is transmitting power at 1000 rpm. The twisting angle should…

Q: 2. UNC thread diameter D=3/4 in. Number of threads/in N= 10 Calculate: a. Pitch, b. Width of the…

Q: Derive the formula of

A: Solution given below.

Q: For the following Internal clovetails if b is yomm grater than C. M is 60 mm 25 mm less Find the…

Q: rad/sec and having 20 te sure angle is 20° and m. on at the centre of the sha

Q: prove that relationship is correct -+ 2ax

A: GIVEN THAT: Prove v2-vo2=2ax v2=Final velocity…

Q: Ex/ Given AB =DE = 150 mm, BC = CD = 450 mm, EF = 375 mm and NBA = 120 rpm. Find (a) velocity of F…

Q: dius of each gear is listed in the figure. 40 rad s

A: GivenωA=40rad/srG=80mmrC=rD=40mmrE=rH=50mmrF=70mm

Q: Find the relationship between the key length (I) and the diameter (d) of shaft with considering any…

A: Given data: Diameter of the shaft, d Length of key, l Assuming any assumption, find the relation…

Q: Find Lind the diumiZec of a cineular Shaft subjeeted to

A: The twisting moment applied to the shaft is, T=3 kN·m The allowable shear stress in the shaft is,…

Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

Calculate angle of twist of B with respect of A in rad

In the shaft shown in the figure, the gears are attached to the A992 steel shaft (G = 75 GPa). find the angle of twist of end B
with respect to end A knowing that the shaft diameter is 40 mm. Consider L1 = 460 mm, L2 = 580 mm and L3 = 780 mm.
400 N-m
1200 N-m
B
600 N-m
TL
TT
JG'
32
200 N-m

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Design of Power Transmission Elements and Power Transmission Systems

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

What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm, inside diameter 40 mm, and shear modulus of elasticity 80 GPa) turning at 600 rpm if the allowable shear stress is 100 MPa and the allowable rate of twist is 3.0°/m?
A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at B, The allowable shear stress in the steel is 6000 psi. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the shaft does not exceed the allowable limit.
A solid circular shaft AB of diameter d is fixed against rotation at both ends (sec figure), A circular disk is attached to the shaft at the location shown. What is the largest permissible angle of rotation 0max of the disk if the allowable shear stress in the shaft is Tallow? [Assume that a >b. Also, use Eqs. (3-50a and b) of Example 3-9 to obtain the reactive torques.]
The two solid steel shafts shown in the figure are connected by gears. Determine the angle of twist of end A of shaft AB when the torque T = 25 N - m is applied. The DC axis is fixed at D. Each axis has a diameter of 20 mm. G = 70GPa.
NEED ANSWER ASAP! The four rigid gears, loaded as shown in the figure, are attached to a 2.61-in.-diameter steel shaft. Determine the maximum shear stress in the shaft if TA = 413 lbft, TB = 940 lbft, and TC = 1166 lbft. Use G = 12040683 psi for the shaft.
A motor supplies a torque of 5.5KNm to the constant diameter steel (G= 80GPa) line shaft shown in the figure. Three machines are driven by the gears B, C, and D on the shaft, and they required torques of 3.0KNm, 1.5KNm, and 1.0KNm, respectively. Determine: a. The minimum diameter required if the maximum shearing stress in the shaft is limited to 100MPa.b. The rotation of gear D with respect to the coupling at A if the coupling and gears are spaced at 2m intervals and the shaft diameter is 75mm.
The shaft ABC shown in the figure is drivenby a motor that delivers 300 kW at a rotational speedof 32 Hz. The gears at B and C take out 120 kW and180 kW, respectively. The lengths of the two parts ofthe shaft are L1 = 1.5 m and L2 = 0.9 m.Determine the required diameter d of the shaft ifthe allowable shear stress is 50 MPa, the allowableangle of twist between points A and C is 4.0°, andG = 75 GPa.
The shaft below is made of A992 steel and has an allowable shear stress of tadm = 75 MPa. When the shaft is rotating at 300 rpm, the motor provides 8 kW of power, while gears A and B draw 5 kW and 3 kW, respectively. Determine the minimum diameter required for shaft. Also, find the angle of twist of the gear A with respect to C.
Torsion A hollow circular shaft has inside and outside diameters of 30 mm and 40 mm respectively. The material has-a shear modulus of 60 kN/mm'. Determine the maximum stress in the shaft when it is subjected to a twist of 5 in a length of 2.5 m. What is the maximum torque the shaft can carry? For a circle / = nd*/32.
The 6061-T6 aluminum shaft shown in Figure has a cross-sectional area in the shape of an equilateral triangle. Determine the largest torque T that can be applied to the end of the shaft if the allowable shear stress is tallow= 8 ksi and the angle of twist at its end is restricted to fallow = 0.02 rad. How much torque can be applied to a shaft of circular cross section made from the same amount of material?
If the shaft is made of red brass C83400 copper with an allowable shear stress of ?allow = 20 MPa, determine the maximum allowable torques T1 and T2 that can be applied on A and B. Also, find the corresponding angle of twist of end A. Set L = 0.75 m "Mechanics of Materials, Hibbeler"
An aluminum shaft with a constant diameter of 50 mm is loaded by torques applied to gears attached to it as shown in the figure. Using G = 28 GPa, determine the relative angle of twist of gear D relative to gear A. Note: SHOW FBD AND DETAILED SOLUTION