EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 8220100257063
Author: BEER
Publisher: YUZU
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Textbook Question
Chapter 7.6, Problem 112P
The cylindrical portion of the compressed-air tank shown is fabricated of 8-mm-thick plate welded along a helix forming an angle
Fig. P7.112
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A spherical pressure vessel of 750-mm outer diameter is to be fabri-cated from a steel having an ultimate stress σU= 400 MPa. Knowing that a factor of safety of 4 is desired and that the gage pressure can reach 4.2 MPa, determine the smallest wall thickness that should be used.
Chapter 7 Solutions
EBK MECHANICS OF MATERIALS
Ch. 7.1 - 7.1 through 7.4 For the given state of stress,...Ch. 7.1 - 7.1 through 7.4 For the given state of stress,...Ch. 7.1 - 7.1 through 7.4 For the given state of stress,...Ch. 7.1 - 7.1 through 7.4 For the given state of stress,...Ch. 7.1 - 7.5 through 7.8 For the given state of stress,...Ch. 7.1 - 7.5 through 7.8 For the given state of stress,...Ch. 7.1 - 7.5 through 7.8 For the given state of stress,...Ch. 7.1 - 7.5 through 7.8 For the given state of stress,...Ch. 7.1 - 7.9 through 7.12 For the given state of stress,...Ch. 7.1 - 7.9 through 7.12 For the given state of stress,...
Ch. 7.1 - 7.9 through 7.12 For the given state of stress,...Ch. 7.1 - 7.9 through 7.12 For the given state of stress,...Ch. 7.1 - 7.13 through 7.16 For the given state of stress,...Ch. 7.1 - 7.13 through 7.16 For the given state of stress,...Ch. 7.1 - 7.13 through 7.16 For the given state of stress,...Ch. 7.1 - 7.13 through 7.16 For the given state of stress,...Ch. 7.1 - 7.17 and 7.18 The grain of a wooden member forms...Ch. 7.1 - 7.17 and 7.18 The grain of a wooden member forms...Ch. 7.1 - Two wooden members of 80 120-mm uniform...Ch. 7.1 - Two wooden members of 80 120-mm uniform...Ch. 7.1 - The centric force P is applied to a short post as...Ch. 7.1 - Two members of uniform cross section 50 80 mm are...Ch. 7.1 - The axle of an automobile is acted upon by the...Ch. 7.1 - A 400-lb vertical force is applied at D to a gear...Ch. 7.1 - A mechanic uses a crowfoot wrench to loosen a bolt...Ch. 7.1 - The steel pipe AB has a 102-mm outer diameter and...Ch. 7.1 - For the state of plane stress shown, determine the...Ch. 7.1 - For the state of plane stress shown, determine (a)...Ch. 7.1 - For the state of plane stress shown, determine (a)...Ch. 7.1 - Determine the range of values of x for which the...Ch. 7.2 - Solve Probs. 7.5 and 7.9, using Mohr's circle. 7.5...Ch. 7.2 - Solve Probs. 7.7 and 7.11, using Mohrs circle. 7.5...Ch. 7.2 - Solve Prob. 7.10, using Mohrs circle. 7.9 through...Ch. 7.2 - Solve Prob. 7.12, using Mohr's circle. 7.9 through...Ch. 7.2 - Solve Prob. 7.13, using Mohr's circle. 7.13...Ch. 7.2 - Solve Prob. 7.14, using Mohr's circle. 7.13...Ch. 7.2 - Solve Prob. 7.15, using Mohr's circle. 7.13...Ch. 7.2 - Solve Prob. 7.16, using Mohr's circle. 7.13...Ch. 7.2 - Solve Prob. 7.17, using Mohr's circle. 7.17 and...Ch. 7.2 - Solve Prob. 7.18, using Mohr's circle. 7.17 and...Ch. 7.2 - Solve Prob. 7.19, using Mohr's circle. 7.19 Two...Ch. 7.2 - Solve Prob. 7.20, using Mohr's circle. 7.20 Two...Ch. 7.2 - Solve Prob. 7.21, using Mohrs circle. 7.21 The...Ch. 7.2 - Solve Prob. 7.22, using Mohrs circle. 7.22 Two...Ch. 7.2 - Solve Prob. 7.23, using Mohr's circle. 7.23 The...Ch. 7.2 - Solve Prob. 7.24, using Mohr's circle 7.24 A...Ch. 7.2 - Solve Prob. 7.25, using Mohrs circle. 7.25 A...Ch. 7.2 - Solve Prob. 7.26, using Mohrs circle. 7.26 The...Ch. 7.2 - Solve Prob. 7.27, using Mohr's circle. 7.27 For...Ch. 7.2 - Solve Prob. 7.28, using Mohrs circle. 7.28 For the...Ch. 7.2 - Solve Prob. 7.29, using Mohr's circle. 7.29 For...Ch. 7.2 - Solve Prob. 7.30, using Mohrs circle. 7.30...Ch. 7.2 - Solve Prob. 7.29, using Mohr's circle and assuming...Ch. 7.2 - 7.54 and 7.55 Determine the principal planes and...Ch. 7.2 - 7.54 and 7.55 Determine the principal planes and...Ch. 7.2 - 7.56 and 7.57 Determine the principal planes and...Ch. 7.2 - 7.56 and 7.57 Determine the principal planes and...Ch. 7.2 - For the element shown, determine the range of...Ch. 7.2 - For the element shown, determine the range of...Ch. 7.2 - For the state of stress shown, determine the range...Ch. 7.2 - For the state of stress shown, determine the range...Ch. 7.2 - For the state of stress shown, determine the range...Ch. 7.2 - For the state of stress shown, it is known that...Ch. 7.2 - The Mohr's circle shown corresponds to the state...Ch. 7.2 - (a) Prove that the expression xy 2xywhere x,...Ch. 7.5 - For the state of plane stress shown, determine the...Ch. 7.5 - For the state of plane stress shown, determine the...Ch. 7.5 - For the state of stress shown, determine the...Ch. 7.5 - For the state of stress shown, determine the...Ch. 7.5 - 7.70 and 7.71 For the state of stress shown,...Ch. 7.5 - 7.70 and 7.71 For the state of stress shown,...Ch. 7.5 - 7.72 and 7.73 For the state of stress shown,...Ch. 7.5 - 7.72 and 7.73 For the state of stress shown,...Ch. 7.5 - For the state of stress shown, determine the value...Ch. 7.5 - For the state of stress shown, determine the value...Ch. 7.5 - Prob. 76PCh. 7.5 - For the state of stress shown, determine two...Ch. 7.5 - For the state of stress shown, determine the range...Ch. 7.5 - Prob. 79PCh. 7.5 - Prob. 80PCh. 7.5 - The state of plane stress shown occurs in a...Ch. 7.5 - Prob. 82PCh. 7.5 - The state of plane stress shown occurs in a...Ch. 7.5 - Solve Prob. 7.83, using the...Ch. 7.5 - The 38-mm-diameter shaft AB is made of a grade of...Ch. 7.5 - Solve Prob. 7.85, using the...Ch. 7.5 - The 1.5-in.-diameter shaft AB is made of a grade...Ch. 7.5 - Prob. 88PCh. 7.5 - Prob. 89PCh. 7.5 - Prob. 90PCh. 7.5 - Prob. 91PCh. 7.5 - Prob. 92PCh. 7.5 - Prob. 93PCh. 7.5 - Prob. 94PCh. 7.5 - Prob. 95PCh. 7.5 - Prob. 96PCh. 7.5 - Prob. 97PCh. 7.6 - A spherical pressure vessel has an outer diameter...Ch. 7.6 - A spherical gas container having an inner diameter...Ch. 7.6 - The maximum gage pressure is known to be 1150 psi...Ch. 7.6 - Prob. 101PCh. 7.6 - Prob. 102PCh. 7.6 - A basketball has a 300-mm outer diameter and a...Ch. 7.6 - The unpressurized cylindrical storage tank shown...Ch. 7.6 - Prob. 105PCh. 7.6 - Prob. 106PCh. 7.6 - Prob. 107PCh. 7.6 - Prob. 108PCh. 7.6 - Prob. 109PCh. 7.6 - Prob. 110PCh. 7.6 - Prob. 111PCh. 7.6 - The cylindrical portion of the compressed-air tank...Ch. 7.6 - Prob. 113PCh. 7.6 - Prob. 114PCh. 7.6 - Prob. 115PCh. 7.6 - Square plates, each of 0.5-in. thickness, can be...Ch. 7.6 - The pressure tank shown has a 0.375-in. wall...Ch. 7.6 - Prob. 118PCh. 7.6 - Prob. 119PCh. 7.6 - A pressure vessel of 10-in. inner diameter and...Ch. 7.6 - Prob. 121PCh. 7.6 - A torque of magnitude T = 12 kN-m is applied to...Ch. 7.6 - The tank shown has a 180-mm inner diameter and a...Ch. 7.6 - The compressed-air tank AB has a 250-rnm outside...Ch. 7.6 - In Prob. 7.124, determine the maximum normal...Ch. 7.6 - Prob. 126PCh. 7.6 - Prob. 127PCh. 7.9 - 7.128 through 7.131 For the given state of plane...Ch. 7.9 - 7.128 through 7.131 For the given state of plane...Ch. 7.9 - Prob. 130PCh. 7.9 - 7.128 through 7.131 For the given state of plane...Ch. 7.9 - Prob. 132PCh. 7.9 - Prob. 133PCh. 7.9 - Prob. 134PCh. 7.9 - 7.128 through 7.131 For the given state of plane...Ch. 7.9 - 7.136 through 7.139 The following state of strain...Ch. 7.9 - Prob. 137PCh. 7.9 - Prob. 138PCh. 7.9 - Prob. 139PCh. 7.9 - Prob. 140PCh. 7.9 - 7.140 through 7.143 For the given state of plane...Ch. 7.9 - Prob. 142PCh. 7.9 - Prob. 143PCh. 7.9 - Prob. 144PCh. 7.9 - The strains determined by the use of the rosette...Ch. 7.9 - Prob. 146PCh. 7.9 - Prob. 147PCh. 7.9 - Show that the sum of the three strain measurements...Ch. 7.9 - Prob. 149PCh. 7.9 - Prob. 150PCh. 7.9 - Solve Prob. 7.150, assuming that the rosette at...Ch. 7.9 - Prob. 152PCh. 7.9 - Prob. 153PCh. 7.9 - Prob. 154PCh. 7.9 - Prob. 155PCh. 7.9 - The given state of plane stress is known to exist...Ch. 7.9 - The following state of strain has been determined...Ch. 7 - A steel pipe of 12-in. outer diameter is...Ch. 7 - Two steel plates of uniform cross section 10 80...Ch. 7 - Prob. 160RPCh. 7 - Prob. 161RPCh. 7 - For the state of stress shown, determine the...Ch. 7 - For the state of stress shown, determine the value...Ch. 7 - The state of plane stress shown occurs in a...Ch. 7 - The compressed-air tank AB has an inner diameter...Ch. 7 - For the compressed-air tank and loading of Prob....Ch. 7 - Prob. 167RPCh. 7 - Prob. 168RPCh. 7 - Prob. 169RP
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- A compressed-air tank has an inner diameter of 450 mm and a uniform wall thickness of 6 mm. Knowing that the pressure inside the tank is 1.2 MPa, determine the equivalent stress at points "a" and "b" on the top of the tank. For each point draw an appropriate stress element. 750 mm 500 mm D 5 kN 750 mm Barrow_forwardThe aluminum rod AD is fitted with a jacketthat is used to apply a hydrostatic pressure of5000 psi to the 12-in. portion BC of the rod.Knowing that E = 10.1 × 106 psi and v = 0.36,determine the forces that should be appliedto the ends A and D of the rod if the axialstrain in portion BC of the rod is to remainzero as the hydrostatic pressure is applied.Determine the forces that should be appliedto the ends A and D if the total length AD ofthe rod is to remain unchanged.arrow_forwardI need the answer as soon as possiblearrow_forward
- The pressure tank shown has an 8-mm wall thickness and butt-welded seams forming an angle β=20° with a transverse plane. For a gage pressure of 600 kPa, determine (a) the normal stress perpendicular to the weld, (b) the shearing stress parallel to the welarrow_forwardPlease correct answerarrow_forwardA pressure vessel of 225-mm inner diameter and 6-mm wall thickness is fabricated from a 1.2 m section of spirally welded pipe AB and is equipped with two rigid end plates. The gage pressure inside the vessel is 2 MPa, and 45-kN centric axial forces P and P' are applied to the end plates. P' A 1.2 m 35⁰ B Determine the shearing stress parallel to the weld. The shearing stress parallel to the weld is P MPa.arrow_forward
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- A steel pipe of 400-mm outer diameter is fabricated from 10-mm-thick plate by welding along a helix that forms an angle of 20°with a plane perpendicular to the axis of the pipe. Knowing that the maximum allowable normal and shearing stresses in the directions respectively normal and tangential to the weld are σ = 60 MPa and τ = 36 MPa, determine the magnitude P of the largest axial force that can be applied to the pipe.arrow_forwardRequired information Problem 07.114 - Determine the normal stress and shearing stress in the weld of a steel pressure tank. The steel pressure tank shown has a 38-in. inner diameter and a 0.375-in. wall thickness. It is given that the butt-welded seams form an angle 3 = 50° with the longitudinal axis of the tank and that the gage pressure in the tank is 200 psi. В Problem 07.114.a - Determine the normal stress perpendicular to the weld. Determine the normal stress perpendicular to the weld. The normal stress perpendicular to the weld is 2519.46 psi.arrow_forwardWhy is the net area for AB (0.045-0.0102) * (0.012) ? Why is AB in tension and BC in compressionarrow_forward
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