A 86-N-m torque is applied to a hollow shaft having the crosssection shown. Neglecting the effect of stress concentrations,determine the shearing stress at points a and b.b2 mm4 mm.40 mm4 mm55 mm-a55 mmThe shearing stress at point a isThe shearing stress at point bisMPa.Check my workMPa.

Answered: Image /qna-images/answer/12c2809d-dea3-4e32-9f53-cd3a62730650.jpg

Answered: A 86-N-m torque is applied to a hollov…

A 86-N-m torque is applied to a hollov section shown. Neglecting the effect determine the shearing stress at point b 2 mm 40 mm a 55 mm

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: A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal…

Q: The force of a Truss is as follows. The E of all member sections is 30000 kips\in^2, and the A of…

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 prismatic bar has a solid circular cross section with 2-in. radius. Determine the average normal…

A: Given data : Radius (r)=2

Q: 1.3-4 Segments AB and BCD of beam ABCD are pin connected at x = 4 m. The beam is supported by a…

Q: If the beam is subjected to an internal moment of M = 30 kN-m determine the compressive bending…

Q: The 20-mm diameter shaft is subjected to torques as shown. The shaft is made of steel with the…

Q: A compound shaft consists of brass segment (1) and aluminum segment (2). Segment (1) is a solid…

Q: 3. Determine the required diameter of the pins at A and B to the nearest 1mm if the allowable shear…

Q: Pin-connected rigid bars AB, BC, and CD are initially held in the positions shown by taut wires (1)…

A: Strain is the result of a material's deformation due to stress. It's only a proportion of the length…

Q: A 80 MPa 30° B 30 MPa 40 MPa

Q: What is the max shear stress in the shaft? Input your answer as a value only in MPa to one decimal…

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

Q: 3. b) The state of stress at a point is shown on the element. Using Mohr's cicle, determine The…

Q: P A B 1m E 1m 2m The simply supported beam shown has a solid rectangular cross section having beam…

A: b = 130 mm h = 200 mm P = 25 KN w = 30 KN/m

Question

100%

A 86-N-m torque is applied to a hollow shaft having the cross
section shown. Neglecting the effect of stress concentrations,
determine the shearing stress at points a and b.
b
2 mm
4 mm.
40 mm
4 mm
55 mm-
a
55 mm
The shearing stress at point a is
The shearing stress at point bis
MPa.
Check my work
MPa.

Expert Solution

Step 1: Determine the shearing stress at point A and B

Step by step

Solved in 3 steps with 3 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

2) The shaft shown consists of a steel tube (1) bonded to a brass core (2). The shear modulus of steel is 11,400 ksi and the shear modulus of brass is 5,200 ksi. A torque is applied at A. The radius of the brass core is 0.5 in. The outer radius of the steel tube is 1 in. a) Write the equilibrium and compatibility equation(s) needed to solve the problem along with supporting sketches. b) Use your equilibrium and compatibility equations two develop two new equations. The first will be a symbolic relationship between the applied torque, T, and the internal torque in the steel (Tsteel). The second will be a symbolic relationship between the applied torque, T, and the internal torque in the brass (Tbrass). [Ans. to Check: Tsteel = 0.97T and Tbrass = 0.0295T] c) Assume the allowable shear stress in the steel tube is 2,000 psi. Calculate the maximum allowable torque you could apply to the steel (Tsteel) in k-in. Then, use the equation from part (b) to compute how much torque you could have in…
The compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the diameter is 69 mm and G = 33.49 GPa. For the steel segment BC, the diameter is 49 mm and G = 83.14 GPa. Given that a = 2 m and b = 1.4 m, compute the largest torque T (in Nm) that can be applied as shown in the figure if the maximum shear stress is limited to 63.68 MPa in the bronze and 90.99 MPa in the steel. Round off the final answer to two decimal places.
Part 2,3,4
2.0 in 3.0 in. The tubular torsional shaft shown above is made ofa stainless steel metal with the following properties: E = 28500 ksi • G= 11000 ksi • v = 0.37 If the pipe cross-section is subjected to an internal torque of T 50 kip-in, which of the following is closest to the minimum shear stress action on the cross-section? 3.92 ksi 1.57 ksi 7.84 ksi
Pin-connected rigid bars AB, BC, and CD are initially held in the positions shown by taut wires (1) and (2). The bar lengths are a = 36 ft and b = 27 ft. Joint Cis given a horizontal displacement of 5.7 in. to the right. (Note that this displacement causes both joints B and C to move to the right and slightly downward.) What is the change in the average normal strain in wire (1) after the displacement? B (1), a (2) Answer: = i (0)
W A L Test beam Strain gauge (a) Unsymmetrical cantilever beam with weight applied at the free end and at the "shear centre", so that there is no torsion induced. Section A-A Strain gauge 1 b Strain gauge 3 Strain gauge 2 B (b) Location of Huggenberger strain gauges a Referring to the above figure, calculate the location of the centroid, the second moments and product of area for the cross-section if; • D = 67 mm B = 41 mm t = 2.41 mm. From these, calculate the position and orientation of neutral axis for pure bending in the vertical plane (i.e. bending about a horizontal axis). Also calculate the directions of the principal second moments of area. Next, graph as scale diagram of the cross-section and plot the neutral axis on that diagram in the correct location and indicate the direction of deflection for the same conditions
a) Determine the force P (in kN) required to stretch the Aluminum bar by 3mm. B) Determine the final width and thickness of the Aluminum bar. (1)
The shaft AB is formed by bonding steel tube and a brass core. Outer diameter of the steel tube is 60 mm and the diameter of the brass core is 30 mm. The shaft is subjected to uniform distributed torque o t kNm/m. The allowable shear stresses for steel and brass are (Tsteel)all = 80 MPa and (Tbrass)all = 50 MPa, respectively. Determine a) the maximum value of the uniform torque t , b) the corresponding angle of twist at A. (The shear modulus for steel and brass are Gsteel = 77 GPa and Gbrass = 40 GPa, respectively) - Steel Tube A t kNm/m B 30 mm 15 mm 1 m 1 m Brass Core Cross Section
Radius of the pin at C is 3mm. While at static equilibrium, we know that a force P of magnitude 500 N is applied to the pedal shown, calculate (a) The average shearing stress in the pin at C (b) the corresponding bearing stress in the pedal at C, (c) the corresponding bearing stress in each support bracket at C. 9 mm T 5 mm C A 75 mm 125 mm B 300 mm PI D
The hollow circular beam is fixed to the wall (with a bracket) on the left and has an end-cap on the right. The cross-section is shown. (a) Determine state of stress at point A & draw the stress element (b) Determine state of stress at point B & draw the stress element A 100 k-in Tout 2 in n=1.75 in В. B 40 k-in C Tout 30 k X