(a) Explanation Given information: Outer diameter of the drill pipe is 3 in. Wall thickness is 0.25 in. Weight of the drill pipe is 50 lb / ft . Calculation: Let N be the normal force and T be the torque of the drill pipe. Sketch the free body diagram of the drill pipe as shown in Figure 1. Refer Figure 1. The value of normal force is N = − 2 , 500 lb and torque is T = 800 lb ⋅ ft . Outer diameter of the pipe ( d 0 ) is 1.5 in. Thickness of the pipe ( t ) is 0.25 in. Find the inner diameter of the pipe ( d i ) as shown below: d i = d 0 − 2 t = 3 in . − 2 ( 0.25 in . ) = 2.5 in . Find the area ( A ) of the pipe. A = π 4 ( ( 3 in . ) 2 − ( 2.5 in . ) 2 ) = 2.1598 in 2 Find the polar moment of inertia ( J ) of the pipe: J = π 32 ( ( 3 in . ) 4 − ( 2.5 in . ) 4 ) = 4.1172 in 4 Find the normal stress ( σ ) due to axial stress using the relation: σ = N A = − 2 , 500 lb 2.1598 in 2 = − 1 , 157.5 psi The outer radius of the pipe is c = 1.5 in . Find the shear stress ( τ ) due to torsional shear stress using the relation: τ = T c J = ( 800 lb ⋅ ft ) ( 1.5 in . ) 4 (b) To determine The maximum in-plane shear stress at a point on its surface at section a .

9th Edition

ISBN: 9789810694364

Author: Russell C Hibbeler

Publisher: Pearson Education

See similar textbooks

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial …

Videos

Question

Chapter 9.3, Problem 9.42P

(a)

To determine

The principal stresses.

(b)

To determine

The maximum in-plane shear stress at a point on its surface at section a.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9.3, Problem 9.41P

Chapter 9.3, Problem 9.43P

Students have asked these similar questions

+1. 0,63 fin r= 0.051 P The stepped rod in sketch is subjected to a tensile force that varies between 4000 and 7000 lb. The rod has a machined surface finish everywhere except the shoulder area, where a grinding operation has been performed to improve the fatigue resistance of the rod. Using a 99% probability of survival, determine the safety factor for infinite life if the rod is made of AISI 1080 steel, quenched and tempered at 800°c Use the Goodman line. Does the part fail at the fillet? Explain

Solve this problem and show all of the work

Chapter 9 Solutions

Mechanics Of Materials, Si Edition

Ch. 9.3 - In each case, the state of stress x, y, xy...Ch. 9.3 - Given the state of stress shown on the element,...Ch. 9.3 - Determine the normal stress and shear stress...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - Also, find the corresponding orientation of the...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - Determine the maximum principal stress at point B.Ch. 9.3 - Determine the principal stress at point C.Ch. 9.3 - Prove that the sum of the normal stresses x + y =...Ch. 9.3 - 9-2. The state of stress at a point in a member is...

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.