Kindly write legibly.Thank you in advance.Second image is the missing value Problem I. A homogeneous, graded shaft with circular cross section is clamped at both ends and loaded by thetorque Mo (see table of values). Use a = 2 m, b = 3 m, r₁ = 25 mm, r2 = 40 mm, and G = 77.2 GPa.Ia) Compute the torques at the support positions A and B.b) Compute the angle of twist at the point where Mo is applied.2r1a2r2MobB MT = Mo(kN.m)170

Given as, mo=100 a=2m b=3m r1=25mm…

Answered: at both enc f values). Use a = 2 m, b =…

at both enc f values). Use a = 2 m, b = 3 m, r₁ = 25 mm, r₂ = 40 mm, and G = 77. torques at the support positions A and B. = angle of twist at the point where Mo is applied. 12r₁ 2r2 M. B

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 11.2.4P: Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.

See similar textbooks

Related questions

Q: 4. A load P is applied concentrically to the bar shown. If the allowable normal stress is 76 ksi,…

Q: Steam at 20 MPa and 620°C enters a steam turbine and expands to a condenser pressure of 100 kPa. An…

Q: A venturi meter (ID = 15 cm) is set in a pipe whose ID is 50 cm. Water flows through the venturi…

A: GIVEN DATA- A VENTURIMETER GIVEN WITH DIAMETER 15cm AND 50cm PRESSURE DROP 400Pa WE HAVE TO FIND…

Q: In the figure, the horizontal rigid beam ABCD is supported by vertical bars (1) and (2) and is…

Q: 3. The velocity of the flow () in a pipe is equal to 2gx 20 1+ 200f a. b. C. V= V = V = 2gx20 1+200/…

Q: Water @ 4C flows through a 100-mm ID smooth pipe. The Reynolds # of the flow is 150000. Determine…

A: following is the solution-

Q: Air at 450 K and 50 kPa enters a 25-mm steel pipe. The velocity at the entrance is 175 m/s. Assuming…

A: given; temperature(T)=450Kpressure(P)=50kpadiameter of steel pipe(d)=25mm…

Q: 1. Two equal gear wheels of 180 mm pitch circle radius and module of 6 are in mesh. The teeth are of…

Q: A liquid flows through a 2.067-in ID standard steel pipe at a velocity of 3 m/s. If the density and…

A: Given data as per question Diameter of steel pipe =2.067 in=0.0525018mvelocity =3 m/sdensity of…

Q: Read the problem carefully and provide complete solutions with derivation of formulas (integrals and…

A: given; mass of car (m1)=900kghill height(h)=20mmass of box(m2)=200kginitial velocity of car (or)…

Q: Q 8: A perfectly balanced weight and platform are supported by a steady water jet. If the total…

Q: A certain SSSF turbine (irreversible and adiabatic) operates on air with the following conditions,…

Q: At a given instant, the gear has the angular motion shown. (Figure 1) Figure @=6 rad/s a = 12 rad/s…

Q: Which of the ff are statements made in construction the Bernoulli eq? that the velocity at the…

A: following is the correct answer-

Q: Water exits a 1-cm diameter outlet of a faucet. Estimate the maximum speed that would result in a…

A: In the given problem, the maximum speed (m/s) of the water is asked but the options are given in…

Q: A room contains air at specified conditions, 20°C and 85 kPa, and relative humidity of 85%. The air…

A: Introduction: Relative humidity describes the quantity of water vapor in the region rather than the…

Q: A hydraulic motor has a displacement of 165 cm³ and operates with a pressure of 98 bars and a speed…

A: Given data: Vd=165 cm3P=98 barsN=1725 rpmQA=0.0055 m3/sTA=210 N.m Need to determine the value of…

Q: 3-32. The maximum blood pressure in the upper arm of a healthy person is about 120 mmHg. If a…

Q: A 15 mm diameter cylindrical nuclear fuel rod is housed in a hollow ceramic cylinder concentric to…

Q: The pump shown in figure (2) adds 25 kW to the water and causes a flow rate of 0.04 m³/s. Determine…

Q: A 15 mm diameter cylindrical nuclear fuel rod is housed in a hollow ceramic cylinder concentric to…

A: Basics of heat transfer: Conduction - occurs in the solid elements which are in contact with one…

Q: Assume that you have a product design problem, to design a chair that is suitable for public…

A: Given Chair To find Procedure Material Prototype

Q: (b) A steel rod 15m long is at a temperature of 15°C. Calculate; (i) The free expansion of the…

Q: 4 5. A hydraulic piston is exciting force on a platform with radius of /m. She magnitude is F-51" t…

Q: 4-83. Determine the reactions at A for the beam shown in Figure P4-83. FIGURE P4-83 77///////// B 15…

A: Given: w = 300 lb To find: reaction at A

Q: 5. Calculate the net hydrostatic force per unit width on the rectangular panel AB and its location…

A: Answer: ◆The net hydrostatic force per unit width on the rectangular panel AB is 28.88304 kN. ◆ It's…

Q: A reheat-regenerative Rankine cycle uses steam at 8.4 MPa, 560°C, and expands to 0.7 MPa. The cycle…

Q: Excel on the same plot. Note: some flow r below; use the conservation of mass to det er what…

A: Take C1 and C2 be the tank concentration. Mass balance in tank 1 and tank…

Q: From the given figure below, determine the flexural stress of the beam at fixed end if it has a…

Q: S' shing a loaded rotating

A: Given as, F=4t3+1 M=1kg r=0.5m t=2sec…

Q: a commercial refrigerator using isobutane (r600a) operates on the simple saturation cycle with…

A: Given data as per question TH =550 C = 55+273 =328K TL = -250 C = 273-25 =248K

Q: Q2: For a system the equations of motion are as shown below, find frequencies and mode shapes. Ţ…

Q: 2. A 50 peg dummy balls from a 20m peight while kg terting a a new sapety parness. The dummy bounces…

A: Given data: m=50 kgh=20 mv=0.01 m/s Need to determine the impulse exerted by the ground.

Q: A batch of 10 cutting tools could produce 500 components while working at 50 rpm with a tool feed of…

Q: Table.2: Unbalanced wheel mass distribution Point Mass Radius Mass-A Mass-B Mass-C Mass-D 17.5 110…

A: given; mass of A (mA)=0.04kgradius of A (rA)=110mmmass of B (mB)=0.01kgradius of B (rB)=92mmmass of…

Q: Find the stress in CD. Area of CD = 2 m² A B с D 40N- 15 N/m² 5 N/m² 20 N/m² A None of these C B 10N…

A: From the given data in question, Cross sectional area of section CD = ACD = 2 m2 Free body…

Q: 1. Oil with a density of 910 kg/m³ and viscosity of 0.0019 m²/s is pumped through a 150 mm diameter…

A: Given data: Density of oil = ρ = 910 kg/m3Viscosity of oil =µ = 0.0019 m2/sDiameter of pipe = D =…

Q: The velocity of the flow () in a pipe is equal to a. b. V= V = V = 2gx 20 1+ 200/ 2gx20 1+200/…

Q: Q6: A: Explain the cavitation in pumps then list its signs and problems. 1

A: This question is based on the concept of cavitation in fluid mechanics.

Q: Instantaneous Center Method—Graphical For the shearing mechanism in the configuration shown in…

Q: raulic motor has 7.5-in³ volumetric displacement. If it has a pressure rating of 1200 psi and…

Q: Q3: Two tank are connected with piping system as shown. If the pump chara given by: hp- 31-120000…

Q: The frame is made from uniform rod which has a mass p per unit length. A smooth recessed slot…

Q: An ideal gas at 250 °C and atmospheric pressure flows through a smooth pipe with ID 6-in. The…

Q: The particle has a mass of 0.45 kg and is confined to move along the smooth horizontal slot due to…

A: Introduction: The idea of equilibrium or balance is a fundamental concept when dealing with forces.…

Q: A hydraulic motor has 7.5-in³ volumetric displacement. If it has a pressure rating of 1200 psi and…

A: Introduction: Hydraulic motors are utilized in any application where rotating force, commonly known…

Q: Water is flowing thru the pipe set-up. What can be the v thru pipe 3 ?

Q: Steam at 20 MPa and 620°C enters a steam turbine and expands to a condenser pressure of 100 kPa. An…

Q: Question #4 Bar (1) in the figure has a cross-sectional area of 0.75 in². If the normal stress in…

Q: Q3: Three pipes (A, B and C) are interconnected as shown in figure (3). Determine the flow rate in…

Concept explainers

Engineering Drawing

Technical drawing has been around since ancient times. As in the ancient Renaissance, complicated drawings were created, including Leonardo da Vinci's drawing. Modern engineering drawing, including its specific orthographic projection with scale conventions, began in Europe (France) during the early stages of Industrialization. L.T. C. Rolt also made some of Marc's drawings for its block-making machinery (in 1799) that also may have contributed significantly to British engineering technology. Since he learned the art of presenting three-dimensional(3D) items in a two-dimensional(2D) plane, as we now term mechanical drawing. 

Question

Kindly write legibly. Thank you in advance. Second image is the missing value

Problem I. A homogeneous, graded shaft with circular cross section is clamped at both ends and loaded by the
torque Mo (see table of values). Use a = 2 m, b = 3 m, r₁ = 25 mm, r2 = 40 mm, and G = 77.2 GPa.
I
a) Compute the torques at the support positions A and B.
b) Compute the angle of twist at the point where Mo is applied.
2r1
a
2r2
Mo
b
B

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

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

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

a) A line shaft as shown in Figure Q is driven using a motor placed vertically below it. The pulley on the line shaft is 1.6 m in diameter and has belt tensions 7.5 kN and 2.4 kN on the tight side and slack side of the belt respectively. Both tensions may be assumed to be vertical and the weight of the pulley is negligible. If the pulley is overhang from the shaft, the distance of the centre line of the pulley from the centre line of the bearing being 500 mm.6.Figure Q(i) Predict using distortion energy theory, the appropriate diameter of the shaft that failure will not occur if the yield strength, Sy = 370 Mpa and factor of safety is 2.5. (ii) Assuming the maximum allowable shear stress of 42 MPa, find its diameter using maximum shear stress theory. (iii) Comparing the diameters in (i) and (iii) above, which of them would you have used to design your shaft and why?
A B D Do F 240 N.mm 420 N.mm 300 N.mm 480 N.mm Figure 1 - Torques applied to the driveshaft 1) DERIVE the twist angle expression (mathematical) of the shaft under torque in terms of the geometric properties of the shaft and the applied torque 2) CALCULATE the diameter of the shaft if the twist angle should not exceed 1.5⁰ 3) CALCULATE the maximum shear stress due to torsion. Consider G = 70 GPa. Assume that the length between each segment is 500 mm.
2) A hollow tube constructed of metal is subjected to five torques acting in the directions shown in the figure. The tube has an outside diameter of 1.0 in. The allowable shear stress is 12,000 psi. The shear modulus is 9500 ksi. The length between AB, BC, CD and DE is 2ft. a) Draw the internal torque diagram for the shaft using the rules we discussed in class. Based on the allowable shear stress, design the inner diameter of the shaft in inches. b) c) Using your answer from part (b), calculate the total rotation between points A and C in radians. Be sure to track which direction each portion of the shaft is rotating. T₁= TB = T, = Tc= 1000 lb-in. 500 lb-in. 800 lb-in. 500 lb-in. A B D d₂ = 1.0 in. T₂= 800 lb-in. E
For the shaft shown in the figure below, compute the angle of twist of pulleys B and C relative to A. The steel shaft has a diameter of 35 mm throughout its length. The torques are T1= 1500 N · m, T2 = 1000 N · m, = 500 N · m. The lengths are L, = 500 mm, L2 = 800 mm. T3 L2 T |T2 T3 A C B.
the QUESTION 2: (30 points) For the shaft in below, motor gives a 500 Nm torque on the shaft when it is rotation with a constant speed. Torques of two pulleys are known as shown in the figure. If the shaft is made of A-36 steel alloy, determine the maximum shear stress that is generated through the shaft. 300 N - m 200 N m 48 mm 0.9 m 44 mm 1.2 m 40 mm 1m
2. Solve the following problem 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). Critically evaluate and compare the torsional shear stress, angle of twist of the two designs if they are subjected to a torque ofT 171N.m the missing Torque 171(T).
The circular shaft shown (Figure 2) has dimensions D1 = 24 cm , L1 = 6 mm, D2 = 17.5 cm, and L2 = 4 mm with applied torques T1 = 100 kN⋅m and T2 = 40 kN⋅m. The shear modulus is G1 = 60 GPa. Point B is halfway between points A and C. a) Draw the torque diagram for the shaft, using the right-hand rule to determine the correct signs. b) For the given shaft, what is the angle of twist at the free end, point D?
The circular shaft shown (Figure 2) has dimensions D1 = 24 cm , L1 = 6 m, D2 = 17.5 cm, and L2 = 4 m with applied torques T1 = 100 kN⋅m and T2 = 40 kN⋅m. The shear modulus is G1 = 60 GPa. Point B is halfway between points A and C. a) Draw the torque diagram for the shaft, using the right-hand rule to determine the correct signs. b) For the given shaft, what is the angle of twist at the free end, point D?
Figure Q1 shows a shaft AB (modulus of rigidity G = 73 GPa) with a total length of 1270 mm that is fixed at both ends. Section AC is solid with a diameter of do = 80 mm, while CB is a hollow section with an internal diameter of di = 60 mm. An external torque T0 = 10 kN.m is applied at point D. B) What is the maximum angle of twist, max and where does it occur?
2-Falcon company Nizwa is conducting a campus interview to you. You are asked to design the propeller shaft with the following specification. (i) power tranmission = 230 kW(ii) speed = 80 rpm,(iii) Maximum shear stress = 60 MPa(iv) diameter ratio = 1.74(v) The maximum value of the twisting moment is 40% greater than its mean. (i) The mean torque is (Unit is in Nm)=__________ (ii) The maximum torque is (Unit is in Nm)=__________ (iii) The outer diameter of the shaft (unit in mm)=_______________ (iv) The inner diameter of the shaft (unit in mm)=_______________
Question 3 - Torsion ( A composite shaft is shown in the figure below which is fixed against rotations at ends A and E. Section AC is a solid cylindrical shaft made from aluminium and Section CE is a solid cylindrical shaft made from steel Diameters of sections ACand CE are denoted as dac and dog respectively. Both sections are perfecty joined at C such that there is strain compatibility at the interface. There is a torque Ti applied at the mid-span of Section AC, and a torque T applied at the mid-span of Section CE. Directions of the applied torques are as shown in the Figure. The shear modulus of aluminium is Gat = 50 GPa and the shear modulus of steel is G = 110 GPa The dimensions of the shafts and the magnitude of applied torques are given by: T = 0.5 kNm T = 4.5 kNm dAc = 120 mm dce = 70 mm LAB = LBC = 4 m Lcp = LDe = 2 m Assume the shaft to remain linear elastic during loading. T, T T, A. T, B D E Part One: Equilibrium Write an equation of equilibrium for the structure by filling…
x Question: The diameter of shaft used in the below design is 90 mm. Identical pulleys are used in the design with a radius of 160 mm. The forces acting on the system are defined as follow: F₁ = 1P kN; F₂ = 8P kN; F3 = 2P kN; F₁ = 6P kN; F5 = 4P kN; F = 7P kN. Employing the maximum shear stress theory, calculate the maximum permissible P for a safe design experience. L₁ = 1.4m; L₂ = 1.8 m; L3 = 1.4m; L4 = 1.6 m; allow = 75 MPa (allowable strength, σs) A F₁ F₂ L2 m F4 B 3 F6 Fs