Mechanics of Materials, 7th Edition
7th Edition
ISBN: 9780073398235
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David F. Mazurek
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 10.3, Problem 86P
(a)
To determine
Find the largest centric live load.
(b)
To determine
Find the largest centric live load.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
To use deformation compatibility equations to calculate loads and deflections for statically indeterminate axially loaded columns.
As shown, two composite columns of steel and concrete are used to support a rigid platform. The columns are cylindrical, with a steel bar encased in concrete. The outer diameter of each column is dc
= 26 cm . The steel in the left column has a diameter of d1 = 13 cm . A load of P = 56 kN is applied with L1 = 1.8 m and L2 = 1.9 m . The height of the columns is h = 2.2 m . The moduli of elasticity for steel and concrete are Es = 200 GPa and Ec = 30 GPa , respectively.
Compute the minimum vine diameter to provide a desired factor of safety of 1.7 against yield-type failure. Assume a yield stress of 300 MPa, and that the mass of the monkey is 65 kg. Hint Weight (N) = Mass (Kg) X g (9.81 m/s2)
Q#3. An aluminium strut 16 ft long has a rectangular cross section 2 in by 3.5 in. A bolt through each end secure the strut in such a way that is acts as hinged column about an axis perpendicular to 3.5 in dimension; and as fixed column about an axis perpendicular to 2 in dimension. Determine the safe central load with a factor of safety of 2 and E= 10300000 psi.
Also discuss in detail about the governing column capacity and reasons behind it.
Chapter 10 Solutions
Mechanics of Materials, 7th Edition
Ch. 10.1 - Knowing that the spring at A is of constant k and...Ch. 10.1 - Two rigid bars AC and BC are connected by a pin at...Ch. 10.1 - 10.3 and 10.4 Two rigid bars AC and BC are...Ch. 10.1 - 10.3 and 10.4 Two rigid bars AC and BC are...Ch. 10.1 - The steel rod BC is attached to the rigid bar AB...Ch. 10.1 - The rigid rod AB is attached to a hinge at A and...Ch. 10.1 - The rigid bar AD is attached to two springs of...Ch. 10.1 - A frame consists of four L-shaped members...Ch. 10.1 - Determine the critical load of a pin-ended steel...Ch. 10.1 - Determine the critical load of a pin-ended wooden...
Ch. 10.1 - A column of effective length L can be made by...Ch. 10.1 - A compression member of 1.5-m effective length...Ch. 10.1 - Determine the radius of the round strut so that...Ch. 10.1 - Determine (a) the critical load for the square...Ch. 10.1 - A column with the cross section shown has a...Ch. 10.1 - A column is made from half of a W360 216...Ch. 10.1 - A column of 22-ft effective length is made by...Ch. 10.1 - A single compression member of 8.2-m effective...Ch. 10.1 - Knowing that P = 5.2 kN, determine the factor of...Ch. 10.1 - Members AB and CD are 30-mm-diameter steel rods,...Ch. 10.1 - The uniform brass bar AB has a rectangular cross...Ch. 10.1 - A 1-in.-square aluminum strut is maintained in the...Ch. 10.1 - A 1-in.-square aluminum strut is maintained in the...Ch. 10.1 - Column ABC has a uniform rectangular cross section...Ch. 10.1 - Column ABC has a uniform rectangular cross section...Ch. 10.1 - Column AB carries a centric load P of magnitude 15...Ch. 10.1 - Each of the five struts shown consists of a solid...Ch. 10.1 - A rigid block of mass m can be supported in each...Ch. 10.2 - An axial load P = 15 kN is applied at point D that...Ch. 10.2 - An axial load P is applied to the 32-mm-diameter...Ch. 10.2 - The line of action of the 310-kN axial load is...Ch. 10.2 - Prob. 32PCh. 10.2 - An axial load P is applied to the 32-mm-square...Ch. 10.2 - Prob. 34PCh. 10.2 - Prob. 35PCh. 10.2 - Prob. 36PCh. 10.2 - Solve Prob. 10.36, assuming that the axial load P...Ch. 10.2 - The line of action of the axial load P is parallel...Ch. 10.2 - Prob. 39PCh. 10.2 - Prob. 40PCh. 10.2 - The steel bar AB has a 3838-in. square cross...Ch. 10.2 - For the bar of Prob. 10.41, determine the required...Ch. 10.2 - A 3.5-m-long steel tube having the cross section...Ch. 10.2 - Prob. 44PCh. 10.2 - An axial load P is applied to the W8 28...Ch. 10.2 - Prob. 46PCh. 10.2 - A 100-kN axial load P is applied to the W150 18...Ch. 10.2 - A 26-kip axial load P is applied to a W6 12...Ch. 10.2 - Prob. 49PCh. 10.2 - Axial loads of magnitude P = 84 kN are applied...Ch. 10.2 - An axial load of magnitude P = 220 kN is applied...Ch. 10.2 - Prob. 52PCh. 10.2 - Prob. 53PCh. 10.2 - Prob. 54PCh. 10.2 - Axial loads of magnitude P = 175 kN are applied...Ch. 10.2 - Prob. 56PCh. 10.3 - Using allowable stress design, determine the...Ch. 10.3 - Prob. 58PCh. 10.3 - Prob. 59PCh. 10.3 - A column having a 3.5-m effective length is made...Ch. 10.3 - Prob. 61PCh. 10.3 - Bar AB is free at its end A and fixed at its base...Ch. 10.3 - Prob. 63PCh. 10.3 - Prob. 64PCh. 10.3 - A compression member of 8.2-ft effective length is...Ch. 10.3 - A compression member of 9-m effective length is...Ch. 10.3 - A column of 6.4-m effective length is obtained by...Ch. 10.3 - A column of 21-ft effective length is obtained by...Ch. 10.3 - Prob. 69PCh. 10.3 - Prob. 70PCh. 10.3 - Prob. 71PCh. 10.3 - Prob. 72PCh. 10.3 - Prob. 73PCh. 10.3 - For a rod made of aluminum alloy 2014-T6, select...Ch. 10.3 - Prob. 75PCh. 10.3 - Prob. 76PCh. 10.3 - A column of 4.6-m effective length must carry a...Ch. 10.3 - A column of 22.5-ft effective length must carry a...Ch. 10.3 - Prob. 79PCh. 10.3 - A centric load P must be supported by the steel...Ch. 10.3 - A square steel tube having the cross section shown...Ch. 10.3 - Prob. 82PCh. 10.3 - Prob. 83PCh. 10.3 - Two 89 64-mm angles are bolted together as shown...Ch. 10.3 - Prob. 85PCh. 10.3 - Prob. 86PCh. 10.3 - Prob. 87PCh. 10.3 - Prob. 88PCh. 10.4 - An eccentric load is applied at a point 22 mm from...Ch. 10.4 - Prob. 90PCh. 10.4 - Prob. 91PCh. 10.4 - Solve Prob. 10.91 using the interaction method and...Ch. 10.4 - A column of 5.5-m effective length is made of the...Ch. 10.4 - Prob. 94PCh. 10.4 - A steel compression member of 9-ft effective...Ch. 10.4 - Prob. 96PCh. 10.4 - Two L4 3 38-in. steel angles are welded together...Ch. 10.4 - Solve Prob. 10.97 using the interaction method...Ch. 10.4 - A rectangular column is made of a grade of sawn...Ch. 10.4 - Prob. 100PCh. 10.4 - Prob. 101PCh. 10.4 - Prob. 102PCh. 10.4 - Prob. 103PCh. 10.4 - Prob. 104PCh. 10.4 - A steel tube of 80-mm outer diameter is to carry a...Ch. 10.4 - Prob. 106PCh. 10.4 - Prob. 107PCh. 10.4 - Prob. 108PCh. 10.4 - Prob. 109PCh. 10.4 - Prob. 110PCh. 10.4 - Prob. 111PCh. 10.4 - Prob. 112PCh. 10.4 - Prob. 113PCh. 10.4 - Prob. 114PCh. 10.4 - Prob. 115PCh. 10.4 - A steel column of 7.2-m effective length is to...Ch. 10 - Determine (a) the critical load for the steel...Ch. 10 - Prob. 118RPCh. 10 - Prob. 119RPCh. 10 - (a) Considering only buckling in the plane of the...Ch. 10 - Member AB consists of a single C130 3 10.4 steel...Ch. 10 - The line of action of the 75-kip axial load is...Ch. 10 - Prob. 123RPCh. 10 - Prob. 124RPCh. 10 - A rectangular column with a 4.4-m effective length...Ch. 10 - Prob. 126RPCh. 10 - Prob. 127RPCh. 10 - Prob. 128RP
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.Similar questions
- A circular bar of L 570mm length is supported freely at its two ends. It is acted upon by a central concentrated cyclic load having a minimum value of 20 kN and a maximum value of 50 kN. Take factor of safety of l.5, size effect of 0.85, and a surface finish factor of 0.9 . The material properties of bar are given as ultimatestrength of σu 625MPa, yield strength of σy 510MPa and endurance strength of σe 340MPA. Determine the diameter of bar by using Goodman's method and Soderberg method.arrow_forwardA column consists of a 2.5 m long hollow tube with an outside diameter equal to 1.5 times that of the inside diameter. The column must carry an axial load of 40 KN without buckling. Use a factor of safety of 5 and calculate the dimensions of the tube if one end is fixed and the other end is free. Use the Euler formula and take ?=200 ???.arrow_forwardA load is applied to a rigid bar that is symmetrically supported by three steel rods, as shown. The cross-sectional area of each of the rods is 1.2 in2. Calculate the maximum load P that may be applied (a) using an elastic approach with an allowable stress of 22,000 psi and (b) using an ultimate strength approach (inelastic) with a factor of safety of 1.85. Assume a ductile material with a yield stress of 36,000 psi.arrow_forward
- A steel bar of a length, diameter and Young’s modulus of 400 mm, 20 mm and 200 GPa is placed concentrically within a brass tube which has an outside diameter,thickness, length and Young’s modulus of 30 mm, 4 mm, 400 mm long and 100 GPa respectively. The compound bar hangs vertically with its upper end rigidly fixed with a collar fitted to the bottom end. The application of a load P results in the compound bar storing a total of 7 J of energy. Calculate:1.1 The gradually applied load 1.2. The suddenly applied load1.3 The impact load that falls 150 mm and induces 7 J of energy1.4 The instantaneous stresses in both materials1.5 The instantaneous elongation of the compound rodarrow_forward4A 12.5 m long steel rope supports a mass of 1000.0 kg. Design the rope comprising 1.6 mm strands with yield stress of 1500.0 MPa and young's modulus of 175.0 GPa. Assume a safety factor of 3,5, the elongation of the roge should not exceed 12.5 mmarrow_forwardRigid bar ABC is supported by pin-connected bar (1). Bar (1) is 2.0-in. wide, 1.00-in. thick, and made of aluminum that has anelastic modulus of E = 12,000 ksi. Determine the maximum magnitude of load P that can be applied to the rigid bar withoutcausing member (1) to bucklearrow_forward
- The circular section steel bar bent in L shape is attached to a fixed wall at end A. A force P is applied to the rod in the vertical direction from the free end C. In what range is the safe diameter value of this ductile rod according to Von-Mises criterion? P=3kN, L1=3m, L2=2m, sak= 400MPa, tak= 200MPa, safety factor : n = 2 p = 3arrow_forwardAn industrial machine requires a solid, round piston connecting rod 200 mm long, between pin ends that is subjected to a maximum compression force of 80,000 N. Using a factor of safety of 2.5, what diameter is required if aluminum is used with properties Sy = 496 MPa and E = 71 GPa.arrow_forwardDetermine the ratio of buckling strengths of two columns of circular cross-section, one hollow and other solid when both are made of same material, have same length, cross-sectional area and end conditions. The internal diameter of the hollow column is half of its external diameter.arrow_forward
- A steel bar of a length, diameter and Young's modulus of 400 mm, 20 mm and 20 GPa is placed concentrically within a brass tube which has an outside diameter, thickness, length and Young's modulus of 30 mm, 4 mm, 400 mm long and 100 GPa respectively. The compound bar hangs vertically with it's upper end rigidly fixed with a collar fitted to the bottom end. The application of a load P results in the compound bar storing a total of 7 J of energy. Calculate : 1, 1)The gradually applied load 1,2)The suddenly applied load 1,3)The impact load that fails 150 mm and induces 7 J of energy 1,4)The instantaneous stresses in both materials 1,5)The instantaneous elongation of the compound rod.arrow_forwardA bar with a rectangular cross section is connected to a support bracket with a circular pin as shown below. The bar has a width b = 40 mm and a thickness of 10 mm. The pin has a diameter of 12 mm. The yield strength of the bar is 415 MPa, and a factor of safety of 1.67 with respect to yield is required. The bearing strength of the bar is 380 MPa, and a factor of safety of 2.0 with respect to bearing is required. The shear strength of the pin is 550 MPA, and a factor of safety of 2.5 with respect to shear failure is required. Determine the magnitude of the maximum load P that may be applied to the bar.arrow_forwardA 2.5 cm x 7.5 cm steel beam with a length of 61 cm is subjected to a reversed load of 17.8 kN at midpoint. If yield stress and endurance stress are 410 MPa and 155 MPa respectively, what should be the minimum factor of safety? A helical spring has a free length of 203 mm, outside diameter of 115 mm and a wire diameter of 13 mm. It consist of 9.5 coils squared and grounded at the ends. If it is compressed to its solid length, what is the stress in the spring? Let G = 80 GPa.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher: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
Stresses Due to Fluctuating Loads Introduction - Design Against Fluctuating Loads - Machine Design 1; Author: Ekeeda;https://www.youtube.com/watch?v=3FBmQXfP_eE;License: Standard Youtube License