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
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Chapter 10.3, Problem 85P
To determine
Find the largest centric live load.
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WITH DESCRIPTION AND STEPS APPLIED, TO HELP ME UNDERSTAND APPROPRIATELY
SA steel tube of 80-mm outer diameter is to carry a 93-kN load P
with an eccentricity of 20 mm. The tubes available for use are made
with wall thicknesses in increments of 3 mm from 6 mm to 15 mm.
Using the allowable-stress method, determine the lightest tube that
can be used. ASsume E = 200 GPa and øy = 250 MPa.
A compression member of 1.5-m effective
length consists of a solid 30-mm-diameter brass
rod. In order to reduce the weight of the
member by 25%, the solid rod is replaced by a
hollow rod of the cross section shown.
15 mm
Determine (a) the percent reduction in the
critical load, (b) the value of the critical load for
the hollow rod. Use E = 200 GPa.
30 mm
30 mm
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
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- A steel column of 19-ft effective length must carry a centric load of 338 kips. Using Allowable Stress Design, select the wide-flange shape of 12-in. nominal depth that should be used. Use σY = 50 ksi and E = 29 × 106 psi. The wide-flange shape used is W12 × .arrow_forwardA uniformly-distributed load w is supported by a structure consisting of rigid bar BDF and three rods. Rods (1) and (2) are 15-mm- diameter stainless steel rods that have an elastic modulus of E= 191 GPa. Rod (3) is a 21-mm-diameter bronze rod that has an elastic modulus of E= 100 GPa. Use a = 1.6 m and L = 3.2 m. For a load magnitude of w= 32 kN/m, calculate (a) the normal stress in each rod. (b) the vertical deflection of the rigid bar at F. (1) B Answers: (a) σ₁ = i (b) VF= i D Save for Later (2) eTextbook and Media 2a W E MPa, σ₂ = i mm MPa, and σ3 = i Attempts: 0 of 5 used MPa Submit Answerarrow_forwardShow all work and unitsarrow_forward
- A rigid bar ABCDE is hinged at end A and supported by three cables at points B and C and D Cable C has a nominal diameter of 12 mm and an area of 76.7 mm2, and an ultimate load of 102 KN. Cable B and D has a diameter of 20mm and an effective area of 173 mm2, and an ultimate load of 231 Kn. The cables have an effective modulus of elasticity 140 GPa and a thermal expansion coefficient of = 12 x 10-6 / ºC. A charge P acts at the end E of the bar. a) What is the allowable load P if the temperature increases by 60ºC and a safety factor of at least 5 is required against your ultimate charge? b) Determine the displacement of point E on the bar.arrow_forwardEach of the two vertical links CF connecting the two horizontal members AD and EG has a 10x40-mm uniform rectangular cross section and is made of a steel with an ultimate strength in tension of 400 MPa,while each of the pins at C and F has a 20-mm diameter and is made of a steel with an ultimate strength in shear of 150 MPa. Determine the overall factor of safety for the links CF and the pins connecting them to the horizontal members.arrow_forward(a) Considering only buckling in the plane of the structure shown and using Euler’s formula, determine the value of θbetween 0 and 90° for which the allowable magnitude of the load P is maximum. (b) Determine the corresponding maximum value of P knowing that a factor of safety of 3.2 is required. Use E= 29 x 106 psi.arrow_forward
- A column of 22.5-ft effective length must carry a centric load of 288 kips. Using allowable stress design, select the wide-flange shape of 14-in. nominal depth that should be used. Use σY= 50 ksi and E= 29 x 106 psiarrow_forwardQ6 A pivot-ended solid steel bar having a diameter of 50 mm and a length of 2.0 m will be used to support a compressive load. A factor of safety of 3.0 is specified and the eccentricity ratio ec/r² = 0.50. Determine (a) The maximum safe compressive load (b) The implied value of eccentricity Oy = 300 MPa, E=200 GPaarrow_forwardQuestion 3 A column of 7 m effective length is to be made by welding two 228 x 12 mm plates to a W200 x 52 as shown. Determine the allowable centric load if a factor of safety of 2.3 is required. Use E = 200 GPa. For an W200 x 52 section, IÂ =(52.7×10°)mmª, I„ = (17.8×10°)mmª . 114 mm 114 mm Ⓒ xarrow_forward
- A steel plate 5/16 in. thick is embedded in a horizontal concrete slab and is used to anchor a high-strength vertical cable as shown. The diameter of the hole in the plate is 3/4in., the ultimate strength of the steel used is 36 ksi, and the ultimate bonding stress between plate and concrete is 300 psi. Knowing that a factor of safety of 3.60 is desired when P = 2.5 kips, determine (a) the required width a of the plate,(b) the minimum depth b to which a plate of that width should be embedded in the concrete slab. (Neglect the normal stresses betweenthe concrete and the lower end of the plate.)arrow_forwardA 2-m length of an aluminum pipe of 240-mm outer diameter and 10-mm wall thickness is used as a short column to carry a 640-kN centric axial load. Knowing that E= 73 GPa and ν=0.33, determine (a) the change in length of the pipe, (b) the change in its outer diam-eter, (c) the change in its wall thicknessarrow_forwardThe bell-crank mechanism shown is in equilibrium for an applied load of F₁ = 10 kN applied at A. Assume a = 300 mm, b = 110 mm, c = 80 mm, and 0 = 70°. The pin at B has a diameter of d = 12 mm and an ultimate shear strength of 450 MPa. The bell crank and the support bracket each have an ultimate bearing strength of 575 MPa. Determine (a) the factor of safety in pin B with respect to the ultimate shear strength. (b) the factor of safety of the bell crank at pin B with respect to the ultimate bearing strength. (c) the factor of safety in the support bracket with respect to the ultimate bearing strength. (1) Answers: (a) FSg= (b) FSg= (c) FSB = i Mi i a Bracket B B →-8 mm 6 mm b 6 mm Connection detail 130⁰arrow_forward
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