Which of the following statements is TRUE for a circular shaft under pure torsion? A. The angle of twist of a point on the shaft's cross section is proportional to its radial distance from its longitudinal axis. B.The shear stress developed is proportional to the length of the member. C.The shearing strain developed is directly proportional to its radial distance from the longitudinal axis. D. The internal torque experienced is proportional to the length of the member. Consider a solid circular shaft fixed at one end and free at the other end with a concentrated torque applied at the free end. Which of the following will result in a decrease in the maximum shear stress in the rod? A.Applying the torque at the mid-length of the rod instead of at the free end B.Increasing the diameter of the rod C.Using a hollow cylinder instead of a solid rod D.Using a material with a higher modulus of rigidity A hollow shaft has inner and outer diameters of 4 cm and 6 cm, respectively. Knowing that the shear stress at yield is 120 MPa, for a factor of safety of 2, what is the magnitude of the maximum torque that can be transmitted? A.16.3 kNm B.2.04 kNm C.4.08 kNm

Which of the following statements is TRUE for a circular shaft under pure torsion? A. The angle of twist of a point on the shaft's cross section is proportional to its radial distance from its longitudinal axis. B.The shear stress developed is proportional to the length of the member. C.The shearing strain developed is directly proportional to its radial distance from the longitudinal axis. D. The internal torque experienced is proportional to the length of the member. Consider a solid circular shaft fixed at one end and free at the other end with a concentrated torque applied at the free end. Which of the following will result in a decrease in the maximum shear stress in the rod? A.Applying the torque at the mid-length of the rod instead of at the free end B.Increasing the diameter of the rod C.Using a hollow cylinder instead of a solid rod D.Using a material with a higher modulus of rigidity A hollow shaft has inner and outer diameters of 4 cm and 6 cm, respectively. Knowing that the shear stress at yield is 120 MPa, for a factor of safety of 2, what is the magnitude of the maximum torque that can be transmitted? A.16.3 kNm B.2.04 kNm C.4.08 kNm

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: 1.Determine the maximum compressive stress acting on the cross section. 2.Determine the maximum…

Q: The state of stress at a point in a member is shown in A 0x' = 60° σ y B on the element. Assume ox…

Q: Consider a certain critical point in a stress element. On a vertical plane, the compressive stress…

A: Given Normal stress on the horizontal plane σx=0. Compressive stress is σy=115 Mpa. Shear stress is…

Q: When an axial load is applied to the ends of the bar shown in the figure, the total elongation of…

Q: 2. A two-element aluminium shaft ABC (G = 35 GPa) is subjected to external torques at sections B and…

A: Data Given: G = 35 GPa d1 = d2 = 50 mm Allowable shear stress τmax = 35 MPa Total angel of twist…

Q: Consider the nonprismatic cantilever beam of circular cross section shown. The beam has an internal…

Q: A 86-N-m torque is applied to a hollov section shown. Neglecting the effect determine the shearing…

Q: a) A holiow steel tube used in a roof structure has an outer diameter, d; = 104 mm and inner…

Q: A rod having a circular cross section (radius; 0.5 in, height; 15 in) is subjected to loadings as in…

A: torque at fixed end T=540 lb.indiameter of shaft d=0.5 inthen shear stress at A abd B…

Q: If the output torque on the CD shaft is T ́ = 75 N-m and the motor rotates at 175 rpm, determine the…

A: Given for CD shaft diameter d2=35 mm, radius of gear R2=125 mmand torque T2=75 N-mfor EA shaft…

Q: The plane strain is considered a two-dimensional condition. Describe about the conditions.

A: Plane strain is defined as the state of strain of a material in which the strain is zero in normal…

Q: In a circular shaft under torque, maximum torsional stress occurs at .shaft center True False O

A: Given statement is FALSE

Q: A pulley of diameter D = 740 mm is mounted on a shaft that has a diameter of d = 100 mm. The pulley…

A: Given: The diameter of the pulley (D) is 740 mm. The diameter of the shaft (d) is 100 mm. The…

Q: the state of stress, as shown v. Draw Mohr's circle and find maximum principal stresses and maximum…

A: σx=-10mpaσy=-10mpaτxy=20mpa

Q: When an axial load is applied to the ends of the bar shown in the figure, the total elongation of…

Q: Determine the equivalent nodal loads for the plane stress element shown below sing isoparametric…

Q: determine the maximum load P that can be supported by the structure.

A: The values and diagram given in the question are as follows: The cross-section area of bar-1(A1)=125…

Q: Current Attempt in Progress When an axial load is applied to the ends of the bar shown in the…

A: Express the given information in the form of equations. Then using definition of strain the value of…

Q: A 12 KN-m torque is applied to the free end of the 6-m steel shaft. The angle rotation of the shaft…

Q: Knowing that the magnitude of the torque T is 198 N-m and that G=27 GPa, determine for each of the…

A: Given, Torque, T = 198 Nm or 198000 N-mm Modulus of rigidity, G = 27 GPa or 27000 MPa

Q: An aluminum tube of outer diameter R, = 50 mm is heated such that it is mounted over a steel shaft…

Q: 8 ksi For the state of stress shown in the figure, determine normal and shearing stresses on the…

Q: A circular steel tube of length L = 1.1 m is loaded in torsion by torques T (see figure). T >> r2…

Q: Consider a solid circular shaft fixed at one end and free at the other end with a concentrated…

Q: 10 mm 100mm 10mm 20 mm 60 mm 20 mm

Q: Derive a formula for the strain energy U of the cantilever bar shown in the figure. The bar has…

A: Derive a formula for the strain energy U of the cantilever bar shown in the figure.

Q: 1) The copper pipe below has an outer diameter of 50 mm, inner diameter of 30 mm, and G = 45 GPa. It…

Q: (Given E = 73 Gpa, v = 0.33.) (1) What the normal strains and by using Mohr Circle method: - (ii)…

Q: Derive a formula for the strain energy U of the cantilever bar shown in the figure. The bar has…

A: Derive a formula for the strain energy U of the cantilever bar shown in the figure.

Q: A metal block (E60 GPa and Poisson's ratio of 0.35) rests on a rigid surface as shown below. It has…

A: E = 60 GPa = 60x103 N/mm2

Q: A wire of 2 mm diameter is wound round a circular shaft of 1 m diameter. What are the maximum normal…

Q: 5. The state of stress at a point in a member is shown on the element. Determine the stress…

Q: 3- A torque of 2000 N-m is applied on a steel circular shaft with a diameter of 50 mm. The shaft has…

A: Objective: To determine the maximum shearing and the angle of twist for the given circular shaft.…

Q: what is the minimum required wall thickness (in inches)?

A: Torque: - It is defined as the force by which an object rotate about an axis.

Q: Part 2 * Your answer is incorrect. The z-component of momemt M will cause compression at A and B,…

Concept explainers

Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.

Question

Which of the following statements is TRUE for a circular shaft under pure torsion?
A. The angle of twist of a point on the shaft's cross section is proportional to its radial
distance from its longitudinal axis.
B.The shear stress developed is proportional to the length of the member.
C.The shearing strain developed is directly proportional to its radial distance from the
longitudinal axis.
D. The internal torque experienced is proportional to the length of the member.
Consider a solid circular shaft fixed at one end and free at the other end with a concentrated
torque applied at the free end. Which of the following will result in a decrease in the
maximum shear stress in the rod?
A.Applying the torque at the mid-length of the rod instead of at the free end
B.Increasing the diameter of the rod
C.Using a hollow cylinder instead of a solid rod
D.Using a material with a higher modulus of rigidity
A hollow shaft has inner and outer diameters of 4 cm and 6 cm, respectively. Knowing that
the shear stress at yield is 120 MPa, for a factor of safety of 2, what is the magnitude of the
maximum torque that can be transmitted?
A.16.3 kNm
B.2.04 kNm
C.4.08 kNm
D.1.02 kNm

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

I need the answer as soon as possible
need help...thnks
A cylindrical pressure vessel having a radius r = 14 in. and wall thickness t = 0.375 in. is subjected to internal pressure p = 375 psi. In addition, a torque T = 90 kip-ft acts at each end of the cylinder (see figure). (Assume that the structures behave linearly elastically and that the stresses caused by two or more loads may be superimposed to obtain the resultant stresses acting at a point. Consider both in-plane and out-of-plane shear stresses unless otherwise specified.) (a) Determine the maximum tensile stress omay and the maximum in-plane shear stress Tmay in the wall of the cylinder. (Enter the magnitudes in ksi.) o, = ksi Tmax ksi (b) If the allowable in-plane shear stress is 4.5 ksi, what is the maximum allowable torque T? (Enter the magnitude in kip-ft.) kip-ft (c) If T = 150 kip-ft and allowable in-plane shear and allowable normal stresses are 4.5 ksi and 11.5 ksi, respectively, what is the minimum required wall thickness (in inches)? in.
The same torque is applied to two tubes with identical metal sheets, determine the ratio of Tcircle/ Tsquare of the shear stresses. Given: r = 12 mm, S = 22 mm, and t = 2.09 mm.
Problem example Example 7-5: The state of plane stress at a point with respect to the xy- axes is shown in the figure. Using Mohr's circle, determine (a) The principal stresses and principal planes and sketch the results. (b) The maximum shear stress. (c) The state of stress with respect to the x'y'-axes. 20 MPa (+) A 16 MPa 50° X 40 MPa (+) 1. Omax 3. Op 7-42
Textbook: Statics and Strength of Materials Topic: Axial Shear and Bearing StressProvide step-by-step solutions.
A solid 2.20 in. diameter shaft is subjected to a torque of T = 365 lb-ft and an axial load of P = 4700 lb. (a) Determine the principal stresses and the maximum shear stress at point H on the surface of the shaft. (b) Show the stresses of part (a) and their directions on an appropriate sketch. Answer: (a) Op1 = i Op2 i = Tmax in-plane A i H (1) psi psi psi T B (b) Show the stresses of part (a) and their directions on an appropriate sketch.
please draw a proper free body diagram and answer in full solution all questions
4. Two solid shafts of different materials are rigidly fastened together and attached to rigid supports as shown in the figure together with the given section properties. The torque of 1000 N-m is applied at the junction of the two segments. Compute the maximum shearing stress developed in the assembly. Answer: TĄ = 5.57 MPa Ts = 22.0 MPa 3 m 1.5 m Ta Aluminum Steel 75 mm dia. T=1.0 kN•m Ga- 28 GN/m²? 50 mm dia G, - 83 GN/m?
At a point in a machine component that is subjected to plane stress, the normal and shear stresses are σx= 100 MPa, σy= 65 MPa, and τxy= 70 MPa, acting in the directions shown in the figure. At this point, determine the strain components εx, εy, εz, and γxy. Assume that E = 71 GPa and v = 0.28 for the machine component.
THE BEAMS SHOWN IN FIGURES (a) AND (b) HAS THE FOLLOWING PROPERTIES. f’c =30 MPa, fy=400 MPa AND IS SUBJECTED TO A POSITIVE BENDING MOMENT Mu=140KN-m. ANSWER THE FOLLOWING.1. DRAW THE INTERNAL STRESS AND STRAIN DIAGRAM OF BEAM CONSIDERING THAT THE DEPTH OF THE STRESS BLOCK IS GREATER THAN THE THICKNESS OF THE FLANGE.