A solid 14 mm diameter steel shaft is fixed to a wall at E. Torques are applied to gears A, C and D as shown. Determine the maximum shear stress in the shaft and the rotation angle for gear A. G = 80 GPa

A solid 14 mm diameter steel shaft is fixed to a wall at E. Torques are applied to gears A, C and D as shown. Determine the maximum shear stress in the shaft and the rotation angle for gear A. G = 80 GPa

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: A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 216 mm and a…

Q: A circular solid shaft made of vibranium has G=80 MPa and has a limiting torsional shear stress of…

Q: A solid shaft in a rolling mill transmits a torque of 1600 N.m. Determine the diameter of the shaft…

A: Given Data T=1600 N.m = 16×105 N.mm Max. Shear stress=40 MPa Angle of twist=8° L=2500 mm G=83 GPa

Q: The copper pipe [G = 7,000 ksi] has an outside diameter of 3.875 in. and a wall thickness of 0.250…

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

A: Let shear modulus (G) of steel shaft be 83 GPa. The torque in AB and BC portion is -TAB=6000-2000 =…

Q: The solid-circular shafts are connected by gears at B and C as shown below, and having the same…

A: Given Data Shear modulus of shafts is:G=75 GPa Diameter of shafts is :Do=24 mm Length of shaft 1 is…

Q: Gear B supplies 15 kW of power, while gears A, C and D withdraw 6 kW, 4 kW and 5 kW, respectively.…

Q: 5. A shaft is made of a steel alloy having an allowable shear stress of Tallow = 12 ksi. If the…

Q: Q.2) If the shaft is made of red brass copper with an allowable shear stress of Callow= 20 MPa,…

A: According to the information, we know the shaft is made of brass or copper road, The maximum…

Q: A solid steel circular shaft transmits 18 kW of power at 120 rpm. Determine the minimum diameter of…

Q: A 40-mm-diameter solid shaft is subjected to an axial force of P = 2790 N, a vertical force of V =…

Q: The stainless-steel shaft shown below is solid with a diameter of 120 mm. The shaft is fixed at A…

A: Given:DIameter, d=120 mmTB=500 N.mTC=800 N.mG=75 GPa

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

Q: A solid 1.500-in.-diameter steel shaft is subjected to torques Tg = 185 Ib-ft and Tp= 150 lb-ft,…

A: Given: Torque applied on pulley B→TB=185 lbft (inside the shaft) Torque applied on pulley…

Q: The A-36 steel shaft with a diameter of 30mm is supported on smooth bearings that allow it to rotate…

A: Given: The diameter of the shaft, d = 30 mm = 0.03 m The modulus of elasticity of the A36 shaft, G =…

Q: An aluminum shaft of two segments is shown below. Determine the allowable torque if the shear stress…

A: Given Data Diameter of bar AB is : d1=90 mm Diameter of bar BC is : d2=60 mm Allowable stress is :…

Q: A solid 1.500-in.-diameter steel shaft is subjected to torques TB = 255 lb-ft and TD= 95 lb-ft,…

Q: 2. A composite shaft is subjected to two torques as shown below. Shaft AB is a solid aluminum (G =…

A: Given, Section AB:GAB = 25 GPa = 25000 N/mm2LAB = 400 mmTAB = 800 Nm = 800,000 NmmdAB = 36 mmJAB =…

Q: 1200 N- m. 3.11 The solid steel shaft carries the torques T1 = 750 N - m and T2 Using L = L2 2.5 m…

Q: 3. Gear B supplies 20 KW of power, while gears A, Cand D withdraw 6 kW, 4 kW and 10 kW,…

A: Answer: The required minimum diameter of the shaft is 24.5 mm.

Q: A solid 1.375-in.-diameter steel shaft is subjected to torques Tg = 285 lb-ft and Tp 105 lb-ft,…

A: Given data as per the question Diameter of solid shaft,d=1.375 inAllowable shear stress,…

Q: Determine the maximum shearing stress(MPa) that can be developed in a solid steel shaft if it will…

Q: The steel shaft has four gears with corresponding number of powers as shown. The allowable shear…

Q: For the solid circular rods exposed to the shown torques, determine the segment that experiences…

Q: A flanged bolt coupling consists of ten steel 2-in.-diameter bolts spaced evenly around a bolt…

A: Given data, n= 10 d= 0.5 in D= 14 in , R= 7 in τ= 6000 psi.

Q: Q4 A solid shaft in a rolling mill transmits a torque of 1600 N.m. Determine the diameter of the…

A: Given Data Torque=1600 N.m Shearing stress, 40 MPa Angle of twist, θ=8° Length = 2500 mm G=83 GPa…

Q: A circular solid shaft has a diameter of 60 mm and is subjected to a torque load of 8.7 kN•m.…

A: Given Diameter, d = 60 mm Torque load, T = 8.7 kN•m

Q: The steel shaft is formed by attaching a hollow shaft to a solid shaft. Determine the maximum torque…

Q: II. If the permissible shear stress of a solid shaft is of 70 MPa, the torque angle between two…

A: a. Determine the required diameter in the function of the shear stress…

Q: Q5: Determine the diameter of the solid shaft where the angle of twist not exceed 10 and the length…

A: Given: The angle of the twist: →θ=1°=1×π180=0.017 radian Diameter of the shaft=d And length of the…

Q: 3.The shaft is made of A992 steel with the allowable shear stress of Tallow = 75 MPa. If gear B…

Q: A solid circular shaft is acted upon by the torques as shown. If G= 12, 000 ksi determine: a.…

Q: 2. The solid 50-mm-diameter shaft is used to transmit the torques applied to the gears. Determine…

A: Given Data D=50 mm

Q: The steel shaft is formed by attaching a hollow shaft to a solid shaft. Determine the maximum torque…

A: TI=ζR=GθL T= Applied TorqueI= polar Moment of inertiaζ= Shear STressR = RadiusG = shear modulusθ=…

Q: For the solid circular rods exposed to the shown torques, determine the segment that experiences…

Q: 3.8 The steel shaft is formed by attaching a hollow shaft to a solid shaft. Determine the maximum…

Q: The solid 50-mm-diameter shaft is subjected to the torques applied to the gears. Determine the…

A: Given data: The data diameter of shaft, d = 50 mm. Calculate the maximum torque from point A in…

Q: A torque of TD- 1235 N-m is applied to gear D of the gear train shown. The bearings shown allow the…

A: GIVEN DATA TWO SHAFT GIVEN CONNECTED WITH GEAR TORQUE IN SHAFT 2 T=1235Nm DIAMETER OF BOTH SHAFT…

Q: In the gear system shown, a torque of TE = 1430 lb-ft is delivered at gear E. Assume that NA-17…

Q: Determine the maximum torque that can be applied to a hollow circular steel shaft of 100mm outer…

Q: The steel shaft is made from two segments: AC has a diameter of 12 mm, and CB has a diameter of 25…

Q: Let's consider a solid circular shaft subjected to the torque loads as shown. Determine the minimum…

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

Q: The torques shown are applied to a 6 mm radius solid shaft with G = 70 GPa. Determine the maximum…

Q: A solid 0.64-in.-diameter shaft is subjected to the torques shown. The bearings shown allow the…

A: given data :- diameter of shaft = 0.64 in find the shear stress in shaft (3).

Q: A compound steel (G = 70 GPa) shaft consists of a solid 59-mm-diameter segment (1) and a solid…

Q: 3.The shaft is made of A992 steel with the allowable shear stress of Tallow = 75 MPa. If gear B…

Q: 1. The hollow circular shaft is subjected to an internal torque of 40.0 kN-m. Determine the shear…

Q: 3) Shaft ABCD is fixed at A and D with 200 N-m and 300 N-m applied at B and C as shown. Solid shafts…

Q: The motor at A delivers 50 hp to the shaft while rotating at 1800 rev/min. Each gear removes the…

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

A solid 14 mm diameter steel shaft is fixed to a wall at E. Torques are applied to gears A, C and D as shown.
Determine the maximum shear stress in the shaft and the rotation angle for gear A. G = 80 GPa
40 N•m
280 N m
0.5 m
150 N-m B
0.3 m
P.
100 mm
0.4 m
(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

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

3. The two identical shafts, 1 and 2, are built into supports at their left ends. Gears mounted on their right ends engage a third gear that is attached to shaft 3. Determine the torques in shafts 1 and 2 when the 500N -m torque is applied to shaft 3. 40 500 Nm 80 Dimensions in mm 4. A 4-ft-long tube with the cross section shown in the figure is made of aluminum. Find the torque that will cause a maximum shear stress of 10 000 psi. Use G = 4 x 106 psi for aluminum. +4 in. → 0.04 in. 0.08 in.´ 5. Two steel springs are arranged in series as shown. The upper spring has 36 turns of 100-mm- diameter wire on a mean radius of 350 mm. The lower spring consists of 24 turns of 75-mm diameter wire on a mean radius of 245 mm. If the ultimate shearing stress in either spring must not exceed 692 MPa, (a) compute the maximum value of P and total elongation using factor of safety equal to 1.5. (b) What is the equivalent spring constant? Use G = 83 GPa. 2 of 2 4 in. wwwww.-
The gears attached to the fixed -end steel shaft are subjected to the torques shown in fig .The shaft has diameter of (14 mm ).Determine the max shear stress and the angle of twist A relative c. use G=80 Gpa 280 N.m A 150 N.m 40 N.m 0.4m 0.3m Q-2
The four gears shown are attached to a steel shaft that is rotating at 2 Hz. Gear B supplies 70 kW of power to the shaft. Of that power, 20kW are used by gear A, 20 kW by gear C and 30kW by gear D. G=83 GPa for steel -20KW JOKN -20kw -30kW 2m 1.5m 1.5m B (a) If a uniform shaft diameter of 125 mm B speci fied, detenmine the angle of rotation of A relative to D. O f segment Co is to be replaced lay a hollaw Shaft with an inside diameter of 80 mm, what is the outside diameter if the stress is not to excced 70 MPa.
The solid steel shaft is supported by the frictionless customer on D and E. This system The mile provided 5 kW of power in w dev / second and was connected to a motor at C. wwww ww www ww ww www wwwm www w A and B If gears get primary 2 kW and 3 kW, determine the minimum shaft diameter. w rotation speed and The safety shear stress is known and is included in the table below. pictures. wwww ww wwwwwwwww www wwwwww wwwwwwww wwwwwwwww w(cycle/second) = 100 tem(Mpa) = 40 3 kW 5 kW 2 kW A D B E C _
The gears attached to the fixed -end steel shaft are subjected to the torques shown in fig .The shaft has diameter of (14 mm ).Determine the max shear stress and the angle of twist A relative c .use G=80 Gpa 280 N.m 150 N.m A в 40 N.m 0.4m 0.3m
The gears attached to the fixed -end steel shaft are subjected to the torques shown in fig.The shaft has diameter of (14 mm ).Determine the max shear stress and the angle of twist A relative c. use G=80 Gpa 150 N.m 280 N.m c 40 N.m 0.4m 0.3m
Q.1) Two torques are applied to the solid bronze ( G= 6500 ksi) shafts of a gear system shown below. The diameters of shafts AB and CD are 1.25 inch and 1.0 inch, respectively. The shaft CD ix fixed at D and the bearings at A, B, and C are frictionless. Determine the maximum shear stress in each of the shaft and the rotation of end A. 10 in. 30 in. 80 lb·ft A 40 lb ft 8 in. 10 in. 6 in. B 4 in. 12 in.
1. Consider two solid circular shafts connected by 5-cm and 25-cm-pitch- ø gears as shown in the figure. Find the angular rotation of D, the right end of one shaft, with respect to A, the left end of the other, caused by the torque of 280 N-m applied at D. The left shaft is steel for which G = 80 GPa and the right is brass for which G = 33 GPa. (all answers should be in rad) 120 cm बत्यमेवास 280 N m 2.5 im 100 cm d= 6 cm (b) w25 cm pitch diameter 120 cm 1400 N m 100 cm 5 cm pitch diameter d 124 d= 3 cm 280 N- m F= 11200 N (a) (c)
2. The solid 50-mm-diameter shaft is used to transmit the torques applied to the gears. Determine the absolute maximum shear stress in the shaft. (Source: R.C. Hibbeler) 250 N-m 75 N-m 325 N-m B 150 N-m 300 mm C 400 mm 500 mm
A 40-mm diameter hole is drilled 3-m deep into the steel shaft. When the first torque is removed at point B with 6000-N-m and the second torque is applied at point C with 2000-N-m, determine the following: a) The Maximum Shear Stress in the shaft. b) The angle of rotation of the free end of the shaft. 60 mm 40 mm B 2 m 3 m
In the gear system of Figure 4, a torque of 5 N-m is applied on gear E. Shaft (1) and shaft (2) are both solid shafts with the length of 300 mm and diameter of 10 mm. They are made of the same material with the shear modulus G = 50 GPa. The bearings allow free rotation of the shafts. 70 teeth 30 teeth B (1) TE = 5 N-m (2) E 20 teeth 60 teeth Figure 4
The four gears shown are attached to a steel shaft that is rotating at 2 Hz. Gear B supplies 70 kW of power to the shaft. Of that power, 20kW are used by gear A, 20 kW by gear C and 30kW by gear D. -20KW 7OKN -20kw -30kW 2m 1.5m 1.5m B (a) If a uniform shaft diameter of 125 mm B speci fied, detenmine the angle of rotation of A relative to D. O If segment Co is to be replaced ay a hollaw Shaft with an inside diameter of 80 mm, what is the outside diameter if the stress is not to excced 70 MPa.