Prob. 4.3-10. The solid circular shaft of diameter d in Fig. 4.3-10a has a maximum shear stress Tmax = T under the action of a torque T. If the solid shaft is replaced by a tubular shaft with a ratio of outside diameter to inside diameter of d/d 1.2 but weighing the same as the solid shaft Fig. P4.3-10b), by what percentage would the torque have to be ncreased in order to produce the same maximum shear stress? d € DO Ta P4.3-10 (b) To 2 di do

Prob. 4.3-10. The solid circular shaft of diameter d in Fig. 4.3-10a has a maximum shear stress Tmax = T under the action of a torque T. If the solid shaft is replaced by a tubular shaft with a ratio of outside diameter to inside diameter of d/d 1.2 but weighing the same as the solid shaft Fig. P4.3-10b), by what percentage would the torque have to be ncreased in order to produce the same maximum shear stress? d € DO Ta P4.3-10 (b) To 2 di do

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: PROBLEM 08: All pins shown in fig. are in single shear and have diameters of 40mm. All have square…

Q: Several torques are applied to the stepped shaft (G= 80 GPa) shown in Fig. 1. Neglect any Stress…

Q: shearing stress in each of the four walls

A: Given: Tubing of uniform wall thickness of 4 mm Torque = 3kN.m AB = 53 mm CD = 53 mm AC = 100 mm BD…

Q: t= 10 -Op- (а) (b)

A: Solution Given data Allowable shear stress ζallowbale= 40 MPa= 40*106 Pa Allowable rate of twist θ=…

Q: (1) (2) Tc A B C L1 L2

Q: A solid 1.125-in-diameter steel shaft is subjected to torques Tg = 305 Ib-ft and Tp= 90 lb-ft,…

Q: A solid steel [G= 80 GPa] shaft of variable diameter is subjected to the torques shown in Fig. Q3.…

Q: Neglect stress concentrations at the corners of the tubes in the following problems. Two identical…

Q: 2. Determine the shearing stress in each of the four walls of a portion of a structural aluminum…

A: Given, Torque =3 kN-m=26.55 kip-in Dimension=100×51 mm=3.93×2 in Wall thickness=4 mm=0.15 in.

Q: of 0.12 in. (a) If the allowable shear stress is 8000 psi, determine the largest torque that can be…

A: Given : Length = 6ft = 72 in Thickness = 0.12 in Radius = 0.12/2 = 0.06 in

Q: 100 mm Q.2) The right figure show the cantilever beam and loading, while the left figure show the…

A: Solution:- 1. Shear stress in the beam:

Q: Question 5 (a) The beam has the rectangular cross section shown in the Fig. Q5(a). i) Determine the…

Q: Vhich of the following is the normal stress

Q: 4.2 Knowing that the couple shown acts in a vertical plane, de- the stress át (a) point A, (b) point…

A: Ans are stress at A is 72.869 kilo ponds per square inch Stress at B is 54.64 kilo pounds square…

Q: 2. The pins on the frame at B and C each have a diameter of 0.25 in. The pins are subjected to…

Q: Determine (a) the maximum bending stress, (b) th maximum shearing stress due to V in the simp…

A: GIVEN- A beam carrying UDL and concentrated moment of 16knm required- to find maximum bending stress…

Q: A torque of T = 1900 Nm is applied to each of the fixed supported bars as shown in Fig. 1. a)…

A: Given : T = 1900 Nm To Determine :

Q: 9.9. A curved beam with a rectangular cross section strikes a 90° arc and is loaded and supported as…

Q: The flexible diaphragm shown below carries a seismic force of 90 kips. The dimensions area=20;…

Q: 1.2 A rectangular beam is subjected to a pure bending moment M. The cross- section of the beam is…

A: Question is based on rectangular beam subjected to pure bending moment. The cross section of beam…

Q: A stepped shaft has the appearance shown in Fig. 5-13. The region AB is aluminum, having G- 28 GPa,…

Q: A steel beam is subjected to a maximum shear force of 80 kN. The cross-section of the beam is shown…

A: Dimesions of beam areFlange thickness =40mmFlange width =200mmWeb thickness =20mmWeb depth…

Q: Find the maximum shear stress due to the applied forces in plane A-B of the 10-mm-diameter high-…

Q: 906. The bent steel bar shown in Fig. P-906 is 200 mm square. A = 29.2 MPa; og = 4.2 MPa Determine…

Q: Gears and splined ends apply torques TA to TD on a steel shaft as shown in Fig. P4.5-7. (a)…

Q: Q.2/The rigid beam shown in Figure 2 is supported by a pin at A and wires BD and CE. If the load P…

Q: QUESTION 2) A stepped shaft has the appearance shown in figure. The region AB is aluminum, having G=…

Q: Compute for the shearing stress in the pin at B for the member supported as shown in the figure. The…

Q: 9. A single horizontal force P of magnitude 900N is applied to end D of lever ABD shown in the…

Q: (b) A cooling tube having the cross section shown in Fig. Q1(b) is formed from a sheet of stainless…

A: The data is as given in the question

Q: H.W3 The simply supported beam diameter 50 mm shown in Fig. (a) supports 30-kN concentrated force at…

Concept explainers

Mechanics of Solids

It is the study of the behavior of solid materials, their characteristics under various circumstances such as variation in external forces, temperature, and other internal factors. It is one of most important study in the field of engineering science, especially chemistry and mechanical engineering. In rigid body, the idealization of the solid body in which deformation is neglected. Deformation is known as the force acting on the solid state system which exerts change in its shape of the body but it continues to be at rest or in a uniform motion but it cannot accelerate. But those solid systems do have elasticity, compressibility and can be bent. This field is very vast since there are wide range of materials around us.

Question

Prob. 4.3-10. The solid circular shaft of diameter d in Fig.
P4.3-10a has a maximum shear stress Tmax = T under the action
of a torque T. If the solid shaft is replaced by a tubular shaft
with a ratio of outside diameter to inside diameter
of d/d; = 1.2 but weighing the same as the solid shaft
(Fig. P4.3-10b), by what percentage would the torque have to be
increased in order to produce the same maximum shear stress?
IS
d
3
Do
Ta
P4.3-10
OF
Tb
(b)
di do

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: Calculation of J(hollow) :

VIEW

Step 2: Determining Torque in hollow Shaft :

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

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

Similar questions

PROBLEM 4.3-10
A solid steel [G= 80 GPa] shaft of variable diameter is subjected to the torques shown in Fig. Q3. The diameter of the shaft in segments (1) and (3) is 50 mm, and the diameter of the shaft in segment (2) is 80 mm. The bearings shown allow the shaft to turn freely. (a) Determine the maximum shear stress in the shaft. (b) Determine the rotation angle of pulley C to pulley A. (25 ptc 1,200 N-m 4,500 N-m CG 0.70 m B (2) 1.80 m 2,800 N-m t (3) 500 0.70 m
pls answer, I'll rate. Thank you so much. Analyze the truss shown using the Method of consistent deformation. There is an additional horizontal load at joint E with a magnitude of 50 kN going to the left. Determine the reaction at D in kN. For reactions that is downward and going to the left.
Answer proplem 1,3 and 1.4
9. A single horizontal force P of magnitude 900N is applied to end D of lever ABD shown in the figure below. Knowing that portion AB of the lever has a diameter 36mm, determine a) the normal and shearing stresses on an element located at point H and having sides parallel to the x and y axes, b) the principal planes and the principal stresses at point H. 300 mm 120 mm y B H A 540 mm 36 mm P D
A solid 1.40-in.-diameter steel [G = 12,000 ksi] shaft is subjected to the torques shown. Determine the magnitude of the maximum shear stress in shaft segment (1). a 1.82 ksi b 2.45 ksi c 3.86 ksi d 3.01 ksi e 2.85 ksi
The stepped shaft ACB shown in Figure bellow is fixed at both ends and loaded by a torque TO at point C. Segment AC having solid circular cross section and segment CB having hollow circular cross section. If the shafts material is steel with shear modulus G = 11 x 10°psi, and the torque is To = 8,000 lb-in. Calculate: (a) The maximum and the minimum shear stress in segment CB. (b) The maximum and the minimum shear strain in segment CB. (c) The angle of rotation Ø, at the cross section where the torque To is applied. 0.75 in. 3.0 in. A 4000011Ww То 6.0 15.0 in. 2.4 3.0 0.75 in. in. in.
The stepped shaft ACB shown in Figure bellow is fixed at both ends and loaded by a torque TO at point C. Segment AC having solid circular cross section and segment CB having hollow circular cross section. If the shafts material is steel with shear modulus G = 11 x 10°psi, and the torque is To = 8,000 lb-in. Calculate: (a) The maximum and the minimum shear stress in segment CB. (b) The maximum and the minimum shear strain in segment CB. (c) The angle of rotation 0, at the cross section where the torque To is applied.
ACTIVITY Compute for the shearing stress in the pin at B for the member supported as shown in the figure. The diameter of the pin is 20mm. K.R.R.P. 00 Pin at B 200 mm- 40 KN AL B 250 mm
The bent steel bar shown in Fig. P-906 is 200 mm square. = 4.2 MPa = 29.2 MPa; og 906. Determine the normal stresses at A and B. Ans. .211 A 250 mm- جاش A 200 mm 450 mm Figure P-906. 100 mm 500 kN 3
2. The pins on the frame at B and C each have a diameter of 0.25 in. The pins are subjected to double shear. a. Determine the average shear stress in the pin at B. b. Determine the average shear stress in the pin at C. -3 11- 500 lb D B 1.5 ft -3 ft- 1.5 ft 300 lb 3 11 3 (t
Question 5 (a) The beam has the rectangular cross section shown in the Fig. Q5(a). i) Determine the largest load P that can be supported on its overhanging ends so that the bending stress does not exceed o = 10MPa. max Point A is located at the left support section at a distance 100mm from the top face of the beam. If P = 12kN, calculate the normal stress and shearing stress at point A. Using the Mohr's circle method to determine the principal stresses and the maximum shearing stress at point A. 1.5 m -1.5 m Fig. Q5(a) 1.5 m OP 150 mm 250 mm