7. You are applying torque of 50Nm to a rectangular bar, with a width (b) of 5cm and a height (h)of 6cm. If the polar 2nd moment of area for this object can be calculated as J =bh(b? + h?),then determine the maximum stress that the bar experiences.8. The max torsional stress that a bone can withstand is 57MPA. Determine the maximum torsionaltorque that can be applied to bone with each of the following geometries:a) A solid cylinder of bone of radius 2cmb) A hollow cylinder of bone with an outer radius of 3cm, the same surface area as in a)J = 2nt (RaverasRaverageRouter + Rinner2

Since we only answer only 1 question. We’ll answer the first question since the exact one wasn’t…

7. You are applying torque of 50Nm to a rectangular bar, with a width (b) of 5cm and a height (h) of 6cm. If the polar 2nd moment of area for this object can be calculated as J =bh(b² + h²), then determine the maximum stress that the bar experiences.

7. You are applying torque of 50Nm to a rectangular bar, with a width (b) of 5cm and a height (h) of 6cm. If the polar 2nd moment of area for this object can be calculated as J =bh(b² + h²), then determine the maximum stress that the bar experiences.

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 3.3.12P: A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable...

See similar textbooks

Related questions

Q: In torsion of circular shafts for deformation, the cross-sections are not distorted in any manner,…

A: To choose: The correct option. Given: Assumption in torsion of circular shaft for deformation. The…

Q: A force F, (=20 N) is applied on an area A (=0.1 cm-) at the surface of a fluid element in the…

A: Option c is correct.

Q: The pipe assembly shown is subjected to a force F = 7 kN and P = 14 kN. It is made of steel with Sy…

Q: Q2/ The torques shown, in Fig. 2, are exerted on pulleys A and B. Knowing that the shafts are solid…

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: (5) When the bar subjected to torque, the maximum shear stress occur at.. O A. External surface of…

A: When a bar is subjected to the torque, the shear stress will be produced in the bar.

Q: solid square steel bar is fixed at one end as shown, and is loaded with a 25 kg weight. If the…

A: Given data as per questionLoad on the bar =25 kg=245.25 NLimiting stress of the bar =27.24kpawe know…

Q: 2. A tube is made of aluminum (G = 24 GPa ) and has a rectangular cross section as shown in figure.…

Q: 3 10 mm 1 2 10 mm 30 mm 30 mm 10 kN Fig. P4.103 4.104 Two 10-kN forces are applied to a 20 x 60-mm…

Q: A rectangular steel block is 4 inches long in the x-direction, 6 inches long in the y-direction, and…

Q: 2- For the shaft shown, the shear stress is not to exceed 100 MPa. What is most nearly the largest…

Q: The maximum torsional shear stress of a shaft with diameter D can be found at what distance from the…

A: To find : maximum torsional shear stress of a shaft with diameter D can be found at what distance…

Q: 3.8 The discs in the spinal column can withstand a stress (force per unit area) of 1.1 x 107 N/m2…

A: Given dataStress in the spinal column σmax = 1.1(10)7 N/m2Cros sectional area A = 10cm2= 10-3m2To…

Q: 0.75 m 0.5 m D B P 1.25 m A

Q: 75 N.m C 125 N.m 2 m 1m A steel shaft is fixed at A and is subjected to the torques as shown.…

A: Given data: dAB=50 mmdBC=30 mmG=77 GPa Need to determine the torque in segment AB, BC and angle of…

Q: A 500 mm pulley running at 400 rpm drives another pulley of the same diameter by means of a 12 mm…

Q: d3 T3 T2 T1 d1 TP. B L3 L2 L1.-

A: The polar moment inertia of a circular cross-section is defined as moment of area about the axis…

Q: Q2 / A solid compound shaft is made of three different materials and is subjected to force shown,…

A: Stress: When a component or a part is subjected to any external force, a resisting force will be…

Q: A solid circular shaft is required to carry a twisting moment of 6 x 10 N-m and a bending moment of…

Q: 1. Four pulleys are attached to the 55 mm diameter steel shaft. If torques is applied to the pulleys…

A: Given data: The diameter of the shaft, d=55 mm. Refer to the table "properties of steel: to the…

Q: horizontal rod of length L= 9.64 m is attached to an axel in such a way that the axel is located at…

Q: Two shafts, one of steel and the other of phosphor bronze, are of the same length and are subjected…

A: Answer: (a) The diameter of the phosphor-bronze shaft is 28.12 mm. (b) The ratio of the maximum…

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: S2) The allowable shear stress limit value of the steel from which the stepped shaft is manufactured…

Q: A rectangular steel block is 4 inches long in the x direction, 2 inches long in the y direction, and…

A: Permissible stress is stress, which produces due to pressure or forces which does not exceed the…

Q: The solid-circular member AC, having a diameter D and a shear modulus of 69 GPa, is subjected to the…

Q: Q16/ The value of the normal stress due to axial force 2 kN applied on the * :beam is Point D 10 kN…

A: Find the normal stress due to axial load 2kN and due to flexural load 10 kN.

Q: 3. The propeller of a fishing boat is rigidly connected to a 3.8-cm. driveshaft through a 0.95- cm…

Q: Q 16. In a stressed body, an elementary cube of material is taken at a point with its faces…

A: Find the principal stresses.

Q: 12 cm x 16 cm air compressor is operated with a maximum pressure of 10 kg/cm^2. There are 5 bolts…

Q: A Mild steel rod of 15mm diameter that is 1.5 cm in length is elongated by 0.15mm along its…

A: Given Data Load in x direction, P=15000N Diameter of the steel rod, D=15mm Length of the steel,…

Q: A Pin-Joint support and a roller support. Material: Steel 3 cm. 300 N/m 3 m 1.5 cm. 750 N 3 m 2.5m 5…

A: Given: The height of cross-section of beam, h = 3 cm The depth of cross-section of beam, b = 1.5 cm…

Q: tensile stress of 75 Mpa and a shear stress of 35 Mpa are induced in a ductile material whose…

Q: 30. Bending moment equation for segment AB. * a.-5.40 psf X cube b. 5.45 psf X cube c. -5.55 psf X…

Q: If the internal torque experienced by a solid brass shaft (G =39 GPa) with radius r=50 mm is T = 12…

A: Consider a twisting moment T is applied to a shaft having radius R. Then, torsional shear stress…

Q: As the electric motor rotates at a constant speed, it applies a torque of 500 Nm to the ABCD shaft.…

A: To find: The torsion angle between B and C. Given: The length of the section BC is LBC=1.2 m. The…

Q: The stress induced in a body, when subjected to two equal and opposite forces which are acting…

A: Shear stress: When two equal and opposite forces that are acting tangentially across the resisting…

Q: Gears b and c have diameters of 10 cm and 4 cm, respectively. The maximum shear stress supported by…

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

Q: A steel shaft of diameter 60 mm and length 3.5 m is fixed at its ends A and B. If two torques of the…

Q: The bars shown in Figurehave equal cross-sectionalareas and they are each subjected to a torque of…

Q: A circular bar ABC 3m long is rigidly fixed at its ends A and C shown in fig.If a moment of 680 N.m…

A: For the material of the shaft G= 80 GN/m2. Twisting moment/Total torque= 680 N m L1= 1.8 m L2= 1.2 m…

Q: 2. A tube is made of aluminum (G = 24 GPa ) and has a rectangular cross section as shown in figure.…

Q: A circular shaft AB consists of a 250 mm long, 22 mm diameter steel cylinder which is 125 mm long…

A: Given Length, L = 250 mm Torque, T = 125 N.m Diameter, d = 16 mm Find Torque on each…

Q: Choose correct answer: A mild steel rod of 15mm diameter that is 1.5.m in length is elongated by…

Q: Determine the deformation at 5 centimeters from the inner radius of a tube whose dimensions are…

A: Given, Outer radius = r1 = 30 cm = 0.3 mInner radius = r2 = 15 cm = 0.15 mRadius at which…

Q: shaft is subjected to an axial pull of 22N and transverse sheer force of 12KN The yield strength of…

A: Given: Axial load (P)=22N (Check the value is N or KN again)Transverse shear force (F)=12kNYield…

Q: When a pair of opposing forces acting along parallel lines of action through the material stress…

A: given: when a pair of opposing force acting along parallel line of action through the material…

Q: An axial pull of 35000N is acting on a bar consisting of three lengths as shown in fig above. if…

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

7. You are applying torque of 50Nm to a rectangular bar, with a width (b) of 5cm and a height (h)
of 6cm. If the polar 2nd moment of area for this object can be calculated as J =bh(b? + h?),
then determine the maximum stress that the bar experiences.
8. The max torsional stress that a bone can withstand is 57MPA. Determine the maximum torsional
torque that can be applied to bone with each of the following geometries:
a) A solid cylinder of bone of radius 2cm
b) A hollow cylinder of bone with an outer radius of 3cm, the same surface area as in a)
J = 2nt (Raveras
Raverage
Router + Rinner
2

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

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

-7 A steel tube (G = 11.5 x 106 psi) has an outer diameter d2= 2.0 in. and an inner diameter dt=1,5 in. When twisted by a torque 7", the tube develops a maximum normal strain of 170 x 10-6. What is the magnitude of the applied torque T?
A circular aluminum tube subjected to pure torsion by torques T(sec figure) has an outer radius r2equal to 1.5 times the inner radius r1. (a) If the maximum shear strain in the tube is measured as 400 × 10-6 rad, what is the shear strain y1at the inner surface? (b) If the maximum a1lo-abk rate of twist is 0.125 °/m and the maximum shear strain is to be kept at 400 × 10-6 rad by adjusting the torque T, that is the minimum required outer radius ( r2)Min?
A thin-walled rectangular tube has uniform thickness t and dimensions a x b to the median line of the cross section (see figure). How does the shear stress in the tube vary with the ratio = a/b if the total length Lmof the median line of the cross section and the torque T remain constant? From your results, show that the shear stress is smallest when the tube is square (ß = 1).
A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable stress in shear is 48 MPa, and the allowable rate of twist is 2.0° in 3.5 meters. (a) Assuming that the shear modulus of elasticity is G = 80 GPa, determine the maximum torque that can be applied to the shaft. (b) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d18. Compare values to corresponding values from part (a).
The normal strain in the 45n direction on the surface of a circular tube (sec figure) is 880 × 10 when the torque T = 750 lb-in. The tube is made of copper alloy with G = 6.2 × 106 psi and y = 0.35. If the outside diameter d2of the tube is 0.8 in., what is the inside diameter dt? If the allowable normal stress in the tube is 14 ksi, what is the maximum permissible inside diameter d?
A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).
Gears b and c have diameters of 10 cm and 4 cm, respectively. The maximum shear stress supported by the bars is 550 kgf/cm^2 and the material from which they are manufactured has a shear modulus G = 8x10^5 kgf/cm^2. Determine: The diameter of each bar, such that the maximum shear stress is not exceeded. The torsional rotation of point d. T = 12 Ton-m
The solid-circular member AC, having a diameter D and a shear modulus of 69 GPa, is subjected to the torques 2T and 3T at points A and B, respectively. If tallow = 35 MPa and (fA/C)allow =2o, determine the maximum permissible value of the torque T. Use the table given below and your student ID to find the values of L1, L2, and D. Student ID L1 (m) L2 (m) D (mm) 1131731 1 0.6 78
(30%) A circular aluminum tube subjected to T pure torsion by torques T has an outer radius r2 equal to 2 times the inner radius r1. (a) If the maximum shear strain in the tube is measured as 500x10-6 rad, what is the shear strain y1 at the inner surface? (b) If the maximum allowable rate of twist (0) is 0.15°/m and the maximum shear strain is to be kept at 500x10-6 rad by adjusting the torque T, what is the minimum required outer radius (r2 )min?
A shaft when subjected to pure torsion developed a stress of 50 Mpa. If polar moment of inertia is 6.1359 x 10 -7 m4 , determine the maximum torque the shaft could handle. A. 1.23 KN.m B. 1.68 KN.m C. 1.84 KN.m D. 2.48 KN.m
A hollow circular tube with a 2.3-cm I.D. and 2.5-cm O.D. is rigidly supported at its ends. A 2.5 kN-m torque is applied at the center of this tube. What is the maximum shear stress acting on this tube?
A shaft is made of bronze at length AB and steel at length BC fixed at both ends. It is subjected to a concentrated torsional moment at the junction, The steel segment is 1 meter long. Assume that the Bronze has a diameter of 75mm, G = 35 GPa and τ = 60 MPa whilst the steel has a diameter of 50mm, G = 80 GPa, and τ = 80 MPa.a) What is the ratio of the length of steel to the length of bronze such that the allowable stress in each material is reached simultaneously.b) What is the reaction at the left end if the maximum torque is applied to the saft, in kN.