Q1 The rotating solid steel shaft is simply supported by bearings A and B, the gear has 500-mm pitch diameter. The shaft transmits a torque, T. The shaft is machined from steel AISI 1040 CD. Using a factor of safety of 2.5, determine a- The torque T b- Reactions RA and Rc c- Draw th Bending Diagram

Q1 The rotating solid steel shaft is simply supported by bearings A and B, the gear has 500-mm pitch diameter. The shaft transmits a torque, T. The shaft is machined from steel AISI 1040 CD. Using a factor of safety of 2.5, determine a- The torque T b- Reactions RA and Rc c- Draw th Bending Diagram

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.2.15P: Repeat Problem 11.2-14 using L = 12 ft, ß = 0.25 kips/in., ßRl= 1.5ßL2, and ßR2= 2 ßR1.

See similar textbooks

Related questions

Q: A propped cantilever beam is loaded by a bending moment of the magnitude MB at the point B as shown…

Q: 15. What is the strain energy stored in a body of volume V with normal stress o, due to a gradually…

A: When the deformation is elastic and the load is applied gradually, strain energy stored in a body of…

Q: A 360 kg roller coaster car travelling at 18 m/s collides inelastically with a stationary 240 kg car…

A: Given:The mass of the running roller is .The mass of the stationary roller is .The velocity of the…

Q: Show using analytical methods how the mass moment of inertia changes for a uniform rod by changing…

A: The uniform rod showing the axis of rotation is shown in the figure.

Q: solve a thru e show all steps

A: is normal reaction force between contacting surfaces.W is the weight force of the block. is the…

Q: please resolve, and solve both prob please

Q: A cylindrical nuclear fuel rod generates heat at a rate of 71 MW3. It is cooled by fluid at 417 K…

A: Given data:Heat generation rate in fuel rod (q''') = 71 MW/m3Coolant fluid temperature (T∞) = 417…

Q: Example . Determine natural frequency, damped natural frequency, damping ratio and logarithmic…

Q: A flying object follows a path given by y = 0.01x² m. The horizontal coordinate is tracked, and at…

Q: Q5/12 mark/A cubic furnace as shown in Fig 5. whose side length is 6 m contains combustion gases at…

A: Find outDetermine the effective emissivity of the combustion gases.Givenfurnace side length =…

Q: 2.94 Figure P2.94 is a representation of the Keswick gravity dam in California. Find the magnitudes…

Q: Fixtures are used___ a•for holding and guiding the tool in drilling, reaming or tapping operations…

A: Jig-A jig is a device which is used to locates,support and guide the tool during cutting…

Q: A steel cantilever beam, of length 2L, has an I-section, see Figure Q3. The cantilever beam is under…

A: Given : The yield strength is The young modulus is The free body diagram is,

Q: The three cable forces act on the eyebolt. Determine two possible magnitudes for P so that the…

Q: QiFor the following write either True or False and correct the false sentences. 1- Static stability…

A: we need to find The given statements are True or False Note: As per Expert Guidelines we are…

Q: Jana Novotna of what is now the Czech Republic has the strongest serve among her fellow tennis…

A: Given : The speed is The bounce velocity is The mass is

Q: KN, determine the value and the location of the maximum shear stress in the section. In Figure Q2, a…

A: Given : The shear force in this section is The diagram is,

Q: Consider a two-dimensional flow which varies in time and is defined by the velocity field, u = 1 and…

A: Find outDoes the fluid element experience angular rotation? Thus, state whether the flow field is…

Q: The channel shape cross-section and the rectangular cross-section shown in the Figure Q4 are made of…

A: Solution is provided below

Q: If P=9.8kN Determine the reaction forces at Supports A and D

Q: A Cavo loader has a hopper volume of 1 m3. The loader works for 2 shifts (8 hr/shift) with 1 hour…

A: Given : The volume of hooper is The diatance is The Total output of one 8 hour shift is

Q: Working for an engineering consultancy firm, your knowledge of fluid dynamics is required to design…

A: Disclaimer from Bartleby:Hello. Since your question has multiple sub-parts, we will solve the first…

Q: Derive the three rectilinear motion equations, as shown on the formula sheet, using calculus or…

A: Derive the three rectilinear motion equations, as shown on the formula sheet, using calculus or…

Q: 1.31 A tank of oil has a mass of 25 slugs. (a) Determine its weight in pounds and in newtons at the…

A: Given data:-The mass of the oil Determine:-a) Its weight in pounds and in newtons at the earth's…

Q: PR.5. A uniform, horizontal beam of length and mass M is pivoted on the wall at one end (A) and…

A: A uniform, horizontal beam of length and mass M is pivoted on the wall at one end (A) and connected…

Q: Why is knowing the maneuver speed so important?Describe the Ultimate Load Factor (ULF).Why is…

A: Given:Why is knowing the maneuver speed so important?Describe the Ultimate Load Factor (ULF).Why is…

Q: In terms of distance s from the centre of the Earth, the magnitude of the acceleration due to…

Q: A potential difference of 120 V is established beween two parallel metal plates. The magnitude of…

Q: Method 2 Differential element • Differential element of ● thickness dy ● Element intersects curve at…

Q: Consider a river flowing toward a lake at an average velocity of 3 m/s at a rate of 500 m³/s at a…

Q: Question 3: The steam power plant operates according to the simple ideal Rankine cycle and has a net…

A: Given data:The power output is, .The inlet pressure at the turbine is, .The inlet temperature at the…

Q: anal 21 coliclorie bas soilsboliwosleye Consider the following diagram and find the homogeneous…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Assuming Air at 20°C blows over hot plates 50 by 75 cm maintained at 250 °C, (h = 25 W/m². C), and…

Q: A beam is held by 2 steel rods, AB and CD. Three dead load forces are applied to the beam. The…

A: Find outDetermine the normal force in rod AB after accounting for the dead load factor,Determine the…

Q: A wall of a house is made from two layers of bricks enclosing a layer of insulation. A radiator is…

Q: Working for an engineering consultancy firm, your knowledge of fluid dynamics is required to design…

A: Maximum operating pressure = 0.76 MPa = 760 kPaDiameter of the pipe, d = 150 mm = 0.15 m

Q: 24:- If the velocity profile for the laminar boundary layer is given by :- 2 U Starting from the…

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

Q: A fluid has a kinematic viscosity ν=15x10-6 m2 s-1 and a density ρ=1 kg m-3. In a given industrial…

Q: a) Calculate the mass flow rate of steam (superheated vapor) at 10 MPa and 740 °C entering an…

Q: 3) If a small particle has an initial velocity of v. = 13 (ft/s), and a constant deceleration of a =…

A: Data Given : Initial velocity Vo=13 ft/secconstant deceleration a = -2.5 ft/s2Find out : Particle…

Q: I have the same question in my book. But the Rod is 30 kilogram and 1.5M length from A to B and…

Q: solve both

Q: A steel cantilever beam, of length 2L, has an l-section, see Figure Q3. The cantilever beam is under…

A: Note:- As per honor code and answering guidelines I can answer 1st three sub parts at a time.If you…

Q: 15. What is the strain energy stored in a body of volume V with normal stress o, due to a gradually…

Q: Determine the thermal resistance of the radiator R, if the maximum allowable processor temperature…

A: Given:To find:Thermal resistance of the radiator.

Q: 0.4 m SB B wwwwwww. -0.3 m k = 100 N/m 4) The block has a mass of 0.8 kg and moves within the smooth…

A: Given:The mass of the block, The speed of the block at position B, The vertical distance between…

Q: 3. Obtain the axial force, shear force and bending moment functions of the following beam 6 kN/m A 3…

A: Obtain the axial force, shear force and bending moment functions of the following beam.

Q: A three-blade propeller of a diameter of 1.5 m has a rotational speed is 60 Hz, the activity factor…

A: Given:

Q: liquid (density 800kg/m3, viscosity 10−3 kg/ms) has to be supplied at a mean speed of 2m/s through a…

A: The objective of this question is to calculate the pressure gradient necessary to achieve a certain…

Q: The channel shape cross-section and the rectangular cross-section shown in the Figure Q4 are made of…

A: Given parameter,Yield stress for channel shaped section, Yield stress for the rectangular…

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

Q1 The rotating solid steel shaft is simply supported by bearings A and B, the gear has 500-mm pitch diameter.
The shaft transmits a torque, T. The shaft is machined from steel AISI 1040 CD. Using a factor of safety of
2.5, determine
a- The torque T
b- Reactions RA and Rc
c- Draw th Bending Diagram
d- Maximum bending moment
e- the minimum allowable diameter of the shaft using DE_Goodman theory. Assume sharp fillet radii at the
bearing shoulders.
450 mm B
A
500-mm
dia.
Fy = 8000 N
550 mm
00
C
De

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: Determine the given data

VIEW

Step 2: Calculate the torque

VIEW

Step 3: Calculate the reactions

VIEW

Step 4: Draw the bending moment diagram

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 7 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

Repeat Problem 11.2-14 using L = 12 ft, ß = 0.25 kips/in., ßRl= 1.5ßL2, and ßR2= 2 ßR1.
Repeat Problem 10.3-15 using L = 3.5 m, max = 3 mm, and EI = 800 kN·m2.
Design of a Shaft subjected to Alternating Loads 1. [Proof of Concept] Considéra machined steel circular shaft subjected to maximum and minimum bending moment of 1000 and 4000 lb .in, respectively; and a maximum and minimum torque of 250 and 1600 Ib.in, respectively. Consider the factor of safety to be 2, the yield strength of the materials 40 ksi, and its ultimate strength to be 70ksi.Determine the minimum diameter of the shaft for the case where D is 20% larger than d, the fillet radius is 10% of d, and reliability is 99%. You may use DE-ASM E formula. 2. Write a computer code that can take Tm, Ta, Mm, Ma, choice of material, safety factor, and other necessary assumptions from the user and return an estimated diameter for the shaft.Choice of inputs is up to you. Note that many of the required quantities are themselves function of the shaft diameter. Your code should be submitted with a report.
A shaft is designed to transmit power of 100 kW at 180 rpm. The allowable shear stress is 50MPa and modulus of rigidity of 80 GPa. The angle of twist is not to exceed to 1° in 4-meter length A. Calculate the diameter of the shaft in inches. B.If the shaft in A is to be fitted to a hub with material SAE 0105 and fit classification of FN3, what will be the maximum and minimum stresses based on the interference of metal.
A shaft in torsion only is to transmit 2500 hp at 570 rpm. Its material’s allowable shear stress is 10 ksi. (a) What should be the diameter of a solid shaft? (b) If the shaft is hollow, Do = 2Di, what size is required? (c) Which is the lighter? By what percentage? (d) Which shaft is the more rigid? PLEASE I NEED IT ASAP . THANK YOU
A 1000 mm cast iron pulley is fastened to a 112 mm shaft by means of a 28 mm square key 160 mm long. The key and shaft are SAE 1030 steel annealed with allowable shearing of key at 200 MPa and compressive of 660 MPa. a. What force in lbs is required to shear the key? b. What force in kgs is needed to compress the key? c. Safe power in hp of the shaft at 600 rpm. d. What force in lbs acting at the pulley rim will shear the key? e. What force in lbs acting at the pulley rim will crush the key?
A turbine shaft transmits 500 kW power at 900 rpm. The permissible shear stress is 80N/mm² while twist is limited to 0.5º in a length of 2.5 m. Take G = 0.8x10⁵ N/mm², on thebasis of torsional rigidity;i.Determine diameter of shaft if solid shaft is used.ii.If hollow shaft is chosen with di/do = 0.6, determine the suitable diameters of theshaft. please write with ball pen.. thank you
A short stub shaft, made of SAE 1035, as rolled, receivers 30 hp at 300 rpm via a 12-in. spur gear, the power being delivered to another shaft through a flexible coupling. The gear is keyed (profile keyway) midway between the bearings. The pressure angle of the gear teeth   20o, N = 1.5 based on the octahedral shear stress theory with varying stresses. (a) Neglecting the radial component R of the tooth load W , determine the shaft diameter. (b) Considering both the tangential and the radial components, compute the shaft diameters. (c) Is the difference in the results of the parts (a) and (b) enough to change your choice of the shaft size?
Two designs for a shaft are being considered. Both have an outside diameter of 70 m and are 900 mm long. One is solid but the other is hollow with an internal diameter of 50 mm. Both are made from steel (G=120 GPa). Compare the torsional shear stress, angle of twist of the two designs if they are subjected to a torque of 722 N. m.
rotating shaft of 16 mm diameter is made of plain carbon steel. It is subjected to axial load of 5000 N, a steady torque of 50 N-m and maximum bending moment of 75 Nm. Calculate the factor of safety available based on 1. Maximum normal stress theory; and 2. Maximum shear stress theory. Assume yield strength as 400 MPa for plain carbon steel
Determine the factor of safety of the shaft. A 30-mm-diameter with a yield strength in tension of 160 MPa ,the shaft is statically torqued to 250 N · m.and a yield strength in compression of 170 MPa. It is machined to final diameter. assume material : cast 195-T6 aluminum,
Two designs for shaft are being considered. Both have an outside diameter of 60 mm and are 500 mm long. One is solid but the other is hallow with an inside diameter of 40 mm, both are made from steel ( G=80 GPa). Compare the torsional shear stress, and the mass of the two designs if they are subjected to a torque of 71 N.m.