To determine The maximum torsional stress in the rod at section A . Explanation Given information: The diameter of the rod is 0.5 in. and weight of the rod is 5 lb ft . Calculation: Consider a section at A . Let A x , A y , and A z be the forces in the x , y , and z direction respectively. Let M x and M y be the moment in the x and y direction. Let T x be the torque at the section x . Sketch the forces at the section as shown in Figure 1. Refer to Figure 1. Apply the equilibrium conditions. Sum of moments in x -direction at the section is equal to 0. Σ M x = 0 T x − 15 lb ( 1.5 ft ) − 5 lb ( 3 ft ) = 0 T x = 37.5 lb ⋅ ft The torsion formula for maximum torsional stress in the rod at A ( τ A ) max is shown below: ( τ A ) max = T c J (1) Here, J is the polar moment of inertia and the outer radius of the shaft is c . Radius value of the rod is 0.25 in. The polar moment of inertia for radius ( r ) in the shaft at A as follows: J = π 2 ( r ) 4 = π 2 ( 0

9th Edition

ISBN: 9789810694364

Author: Russell C Hibbeler

Publisher: Pearson Education

See similar textbooks

Concept explainers

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational…

Videos

Question

Chapter 5.3, Problem 5.44P

To determine

The maximum torsional stress in the rod at section A.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5.3, Problem 5.43P

Chapter 5.3, Problem 5.45P

Students have asked these similar questions

Consider the heat engine operating at steady state between the two thermal reservoirs shown at the right while producing a net power output of 700 kW. If 1000 kW of heat (Q̇H) is transferred to the heat engine from a thermal reservoir at a temperature of TH = 900 K, and heat is rejected to a thermal reservoir at a temperature of TL = 300 K, is this heat engine possible? Can you answer this question for me and show all of the work

1.12 A disk of constant radius r is attached to a telescoping rod that is extending at a constant rate as shown in Fig. P1.12. Both the disk and the rod are rotating at a constant rate. Find the inertial velocity and acceleration of point P at the rim of the disk. ท2 L 0 SS P α e 0 O' êL Fig. P1.12 Rotating disk attached to telescoping rod. 60 LL

Two different options A and B with brake pads for disc brakes are connected to the rope drum. The diameter of the rope drum is 150 mm. What distance must the pads B be at from the center of rotation to cover the same distance as A?A B- Width 50 mm - Width 60 mm- Evidence center 120mm - Construction power 900 N from rotation center.- Maintains a weight of 200 kgwhen the installation force is 1.4kN (μ is missing from the data)M=μF(Ry-Ri)Right answer R=187 mm

Chapter 5 Solutions

Mechanics Of Materials, Si Edition

Ch. 5.3 - Determine the internal torque at each section and...Ch. 5.3 - Determine the. internal torque at each section and...Ch. 5.3 - The solid and hollow shafts are each subjected to...Ch. 5.3 - The motor delivers 10 hp to the shaft. If it...Ch. 5.3 - The solid circular shaft is subjected to an...Ch. 5.3 - The hollow circular shaft is subjected to an...Ch. 5.3 - The shaft is hollow from A to B and solid from B...Ch. 5.3 - Determine the maximum shear stress in the...Ch. 5.3 - Determine the maximum shear stress in the shaft at...Ch. 5.3 - Determine the shear stress a: point A on the...

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.