To determine To calculate: The minimum diameter of the wires AB and BC . Explanation Given information: The 50-kg flowerpot is suspended from wires AB and BC . The factor of safety is 2.5. The normal failure stress of the wire is σ fail = 350 MPa . Calculation: Find the cross sectional area of the wires AB and BC as shown below. For wire AB : A A B = π d A B 2 4 Here, d A B is the diameter of the wire AB . For wire BC : A B C = π d B C 2 4 Here, d B C is the diameter of the wire BC . Sketch the Free Body Diagram of the joint B as shown in Figure 1. Refer to Figure 1. Find the normal force developed in cables AB and BC as shown below. Apply the Equations of Equilibrium as shown below. Summation of forces along x direction is Equal to zero. ∑ F x = 0 F B C cos 45 ° − F A B cos 30 ° = 0 0.707 F B C = 0.866 F A B F B C = 1.225 F A B (1) Summation of forces along y direction is Equal to zero. ∑ F y = 0 F A B sin 30 ° + F B C sin 45 ° − 50 × 9.81 = 0 0.5 F A B + 0.707 F B C − 490.5 = 0 Substitute 1.225 F A B for F B C . 0.5 F A B + 0.707 × 1.225 F A B − 490.5 = 0 1.366075 F A B − 490.5 = 0 1.366075 F A B = 490.5 F A B = 359.06 N Substitute 359.06 N for F A B in Equation (1). F B C = 1.225 × 359.06 = 439.85 N Find the allowable normal stress as shown below. σ allow = σ fail F .S . Here, σ fail is the normal failure stress and F .S . is the factor of safety. Substitute 350 MPa for σ fail and 2

9th Edition

ISBN: 9780133254426

Author: Russell C. Hibbeler

Publisher: Prentice Hall

See similar textbooks

Videos

Question

Chapter 1.7, Problem 1.78P

To determine

To calculate: The minimum diameter of the wires AB and BC.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 1.7, Problem 1.77P

Chapter 1.7, Problem 1.79P

Chapter 1 Solutions

Mechanics of Materials

Ch. 1.2 - In each case, explain how to find the resultant...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - The shaft is supported by a smooth thrust bearing...Ch. 1.2 - Determine the resultant internal normal and shear...Ch. 1.2 - 1-3. The beam AB is fixed to the wall and has a...

Ch. 1.2 - The shaft is supported by a smooth thrust bearing...Ch. 1.2 - 1-5. Determine the resultant internal loadings in...Ch. 1.2 - 1-6. Determine the normal force, shear force, and...Ch. 1.2 - 1-7. The cable will fail when subjected to a...Ch. 1.2 - *1-8. Determine the resultant internal loadings on...Ch. 1.2 - 1-9. Determine the resultant internal loadings on...Ch. 1.2 - The boom DF of the jib crane and the column DE...Ch. 1.2 - 1-11. The forearm and biceps support the 2-kg load...Ch. 1.2 - *1-12. The serving tray T used on an airplane is...Ch. 1.2 - The blade of the hacksaw is subjected to a...Ch. 1.2 - The blade of the hacksaw is subjected to a...Ch. 1.2 - 1-15. A 150-lb bucket is suspended from a cable on...Ch. 1.2 - *1-16. A 150-lb bucket is suspended from a cable...Ch. 1.2 - 1-17. Determine resultant internal loadings acting...Ch. 1.2 - Prob. 1.18P Ch. 1.2 - Prob. 1.19P Ch. 1.2 - Prob. 1.20P Ch. 1.2 - Prob. 1.21P Ch. 1.2 - The metal stud punch is subjected to a force of...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - Prob. 1.24P Ch. 1.2 - 1-25. Determine the resultant internal loading...Ch. 1.2 - 1-26. The shaft is supported at its ends by two...Ch. 1.2 - 1-27. The pipe assembly is subjected to a force of...Ch. 1.2 - If the drill bit jams when the brace is subjected...Ch. 1.2 - 1-29. The curved rod AD of radius r has a weight...Ch. 1.2 - A differential element taken from a curved bar is...Ch. 1.5 - In each case, determine the largest internal shear...Ch. 1.5 - Determine the largest internal normal force in the...Ch. 1.5 - Determine the internal normal force at section A...Ch. 1.5 - Prob. 1.5PP Ch. 1.5 - The single-V butt joint transmits the force of 5...Ch. 1.5 - The uniform beam is supported by two rods AB and...Ch. 1.5 - Determine the average normal stress on the cross...Ch. 1.5 - Determine the average normal stress on the cross...Ch. 1.5 - If the 600-kN force acts through the centroid of...Ch. 1.5 - Determine the average normal stress at points A,...Ch. 1.5 - Determine the average normal stress in rod AB if...Ch. 1.5 - The supporting wheel on a scaffold is held in...Ch. 1.5 - Prob. 1.32P Ch. 1.5 - The bar has a cross-sectional area A and is...Ch. 1.5 - 1-34. The built-up shaft consists of a pipe AB and...Ch. 1.5 - Prob. 1.35P Ch. 1.5 - Prob. 1.36P Ch. 1.5 - The plate has a width of 0.5 m. If the stress...Ch. 1.5 - The two members used in the construction of an...Ch. 1.5 - Prob. 1.39P Ch. 1.5 - Determine the average normal stress in each of the...Ch. 1.5 - If the average normal stress in each of the...Ch. 1.5 - Determine the maximum average shear stress in pin...Ch. 1.5 - 1-43. The 150-kg bucket is suspended from end E of...Ch. 1.5 - *1-44. The 150-kg bucket is suspended from end E...Ch. 1.5 - Prob. 1.45P Ch. 1.5 - 1-46. The 20-kg chandelier is suspended from the...Ch. 1.5 - Prob. 1.47P Ch. 1.5 - If P = 15 kN, determine the average shear stress...Ch. 1.5 - 1-49. The joint is subjected to the axial member...Ch. 1.5 - Prob. 1.50P Ch. 1.5 - Prob. 1.51P Ch. 1.5 - Prob. 1.52P Ch. 1.5 - Prob. 1.53P Ch. 1.5 - Prob. 1.54P Ch. 1.5 - The 2-Mg concrete pipe has a center of mass at...Ch. 1.5 - The 2-Mg concrete pipe has a center of mass at...Ch. 1.5 - Prob. 1.57P Ch. 1.5 - Prob. 1.58P Ch. 1.5 - 1-59. The jib crane is pinned at A and supports a...Ch. 1.5 - *1-60. If the shaft is subjected to an axial force...Ch. 1.5 - Prob. 1.61P Ch. 1.5 - Prob. 1.62P Ch. 1.5 - Prob. 1.63P Ch. 1.5 - *1-64. A vertical force of P = 1500 N is applied...Ch. 1.5 - Prob. 1.65P Ch. 1.5 - Determine the largest load P that can be applied...Ch. 1.5 - Prob. 1.67P Ch. 1.5 - Prob. 1.68P Ch. 1.7 - Rods AC and BC are used to suspend the 200-kg...Ch. 1.7 - If it is subjected to double shear, determine the...Ch. 1.7 - Determine the maximum average shear stress...Ch. 1.7 - If each of the three nails has a diameter of 4 mm...Ch. 1.7 - The strut is glued to the horizontal member at...Ch. 1.7 - Determine the maximum average shear stress...Ch. 1.7 - If the eyebolt is made of a material having a...Ch. 1.7 - If the bar assembly is made of a material having a...Ch. 1.7 - Determine the maximum force P that can be applied...Ch. 1.7 - The pin is made of a material having a failure...Ch. 1.7 - If the bolt head and the supporting bracket are...Ch. 1.7 - Six nails are used to hold the hanger at A against...Ch. 1.7 - If A and B are both made of wood and are 38 in....Ch. 1.7 - Prob. 1.70P Ch. 1.7 - Prob. 1.71P Ch. 1.7 - Prob. 1.72P Ch. 1.7 - The steel swivel bushing in the elevator control...Ch. 1.7 - 1-74. Member B is subjected to a compressive force...Ch. 1.7 - Prob. 1.75P Ch. 1.7 - Prob. 1.76P Ch. 1.7 - The tension member is fastened together using two...Ch. 1.7 - 1-78. The 50-kg flowerpot is suspended from wires...Ch. 1.7 - 1-79. The 50-kg flowerpot is suspended from wires...Ch. 1.7 - *1–80. The thrust bearing consists of a circular...Ch. 1.7 - 1-81. The steel pipe is supported on the circular...Ch. 1.7 - The steel pipe is supported on the circular base...Ch. 1.7 - 1-83. The 60 mm × 60 mm oak post is supported on...Ch. 1.7 - *1-84. The frame is subjected to the load of 4 kN...Ch. 1.7 - Prob. 1.85P Ch. 1.7 - The two aluminum rods support the vertical force...Ch. 1.7 - The two aluminum rods AB and AC have diameters of...Ch. 1.7 - The compound wooden beam is connected together by...Ch. 1.7 - Determine the required minimum thickness t of...Ch. 1.7 - Determine the maximum allowable load P that can be...Ch. 1.7 - Prob. 1.91P Ch. 1.7 - *1-92. If the allowable hearing stress for the...Ch. 1.7 - The rods AB and CD are made of steel. Determine...Ch. 1.7 - The aluminum bracket A is used to support the...Ch. 1.7 - Prob. 1.95P Ch. 1.7 - *1-96. The pin support A and roller support B of...Ch. 1 - The beam AB is pin supported at A and supported by...Ch. 1 - The long bolt passes through the 30-mm-thick...Ch. 1 - Determine the required thickness of member BC to...Ch. 1 - The circular punch B exerts a force of 2 kN on the...Ch. 1 - Determine the average punching shear stress the...Ch. 1 - The 150 mm by 150 mm block of aluminum supports a...Ch. 1 - The yoke-and-rod connection is subjected to a...Ch. 1 - The cable has a specific weight (weight/volume)...

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.

Recommended textbooks for you

Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY

Elements Of Electromagnetics

Mechanical Engineering

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:9780134319650

Author:Russell C. Hibbeler

Publisher:PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:9781259822674

Author:Yunus A. Cengel Dr., Michael A. Boles

Publisher:McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:9781118170519

Author:Norman S. Nise

Publisher:WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:9781118807330

Author:James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:WILEY

SEE MORE TEXTBOOKS

Mechanical SPRING DESIGN Strategy and Restrictions in Under 15 Minutes!; Author: Less Boring Lectures;https://www.youtube.com/watch?v=dsWQrzfQt3s;License: Standard Youtube License