Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 7.8, Problem 10PP
To determine
Show how to determine the normal strain
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Chapter 7 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 7.2 - In each case, explain how to find the resultant...Ch. 7.2 - Determine the internal normal force, shear force,...Ch. 7.2 - Determine the internal normal force, shear force,...Ch. 7.2 - Determine the internal normal force, shear force,...Ch. 7.2 - Determine the internal normal force, shear force,...Ch. 7.2 - Determine the internal normal force, shear force,...Ch. 7.2 - Determine the internal normal force, shear force,...Ch. 7.2 - The shaft is supported by a smooth thrust bearing...Ch. 7.2 - Determine the resultant internal normal and shear...Ch. 7.2 - Determine the resultant internal loadings acting...
Ch. 7.2 - The shaft is supported by a smooth thrust bearing...Ch. 7.2 - Determine the resultant internal loadings acting...Ch. 7.2 - Determine the resultant internal loadings on the...Ch. 7.2 - Determine the resultant internal loadings at cross...Ch. 7.2 - Prob. 8PCh. 7.2 - The beam supports the distributed load shown....Ch. 7.2 - The boom DF of the jib crane and the column DE...Ch. 7.2 - Determine the resultant internal loadings acting...Ch. 7.2 - Determine the resultant internal loadings acting...Ch. 7.2 - The blade of the hacksaw is subjected to a...Ch. 7.2 - The blade of the hacksaw is subjected to a...Ch. 7.2 - The beam supports the triangular distributed load...Ch. 7.2 - The beam supports the distributed load shown....Ch. 7.2 - The shaft is supported at its ends by two bearings...Ch. 7.2 - The shaft is supported at its ends by two bearings...Ch. 7.2 - The hand crank that is used in a press has the...Ch. 7.2 - Determine the resultant internal loadings acting...Ch. 7.2 - Determine the resultant internal loadings acting...Ch. 7.2 - The metal stud punch is subjected to a force of...Ch. 7.2 - Determine the resultant internal loadings acting...Ch. 7.2 - Prob. 24PCh. 7.2 - Determine the resultant internal loadings acting...Ch. 7.5 - In each case, determine the largest internal shear...Ch. 7.5 - Determine the largest internal normal force in the...Ch. 7.5 - Determine the internal normal force at section A...Ch. 7.5 - The lever is held to the fixed shaft using the pin...Ch. 7.5 - Prob. 6PPCh. 7.5 - Prob. 7FPCh. 7.5 - Determine the average normal stress on the cross...Ch. 7.5 - Prob. 9FPCh. 7.5 - If the 600-kN force acts through the centroid of...Ch. 7.5 - Prob. 11FPCh. 7.5 - Prob. 12FPCh. 7.5 - The supporting wheel on a scaffold is held in...Ch. 7.5 - Determine the largest intensity w of the uniform...Ch. 7.5 - Prob. 28PCh. 7.5 - The small block has a thickness of 0.5 in. If the...Ch. 7.5 - Prob. 30PCh. 7.5 - If the block is subjected to a centrally applied...Ch. 7.5 - Prob. 32PCh. 7.5 - The board is subjected to a tensile force of 200...Ch. 7.5 - The boom has a uniform weight of 600 lb and is...Ch. 7.5 - Determine the average normal stress in each of the...Ch. 7.5 - If the average normal stress in each of the...Ch. 7.5 - Determine the maximum average shear stress in pin...Ch. 7.5 - Prob. 38PCh. 7.5 - Prob. 39PCh. 7.5 - The column is made of concrete having a density of...Ch. 7.5 - The beam is supported by two rods AB and CD that...Ch. 7.5 - The beam is supported by two rods AB and CD that...Ch. 7.5 - Prob. 43PCh. 7.5 - The railcar docklight is supported by the...Ch. 7.5 - The plastic block is subjected to an axial...Ch. 7.5 - The two steel members are joined together using a...Ch. 7.5 - The bar has a cross-sectional area of 400(106) m2....Ch. 7.5 - Prob. 48PCh. 7.5 - The two members used in the construction of an...Ch. 7.5 - Prob. 50PCh. 7.5 - Prob. 51PCh. 7.6 - Rods AC and BC are used to suspend the 200-kg...Ch. 7.6 - The pin at A has a diameter of 0.25 in. If it is...Ch. 7.6 - Prob. 15FPCh. 7.6 - Prob. 16FPCh. 7.6 - The strut is glued to the horizontal member at...Ch. 7.6 - Prob. 18FPCh. 7.6 - Prob. 19FPCh. 7.6 - Prob. 20FPCh. 7.6 - Prob. 21FPCh. 7.6 - The pin is made of a material having a failure...Ch. 7.6 - Prob. 23FPCh. 7.6 - Prob. 24FPCh. 7.6 - Prob. 52PCh. 7.6 - Prob. 53PCh. 7.6 - The connection is made using a bolt and nut and...Ch. 7.6 - The tension member is fastened together using two...Ch. 7.6 - Prob. 56PCh. 7.6 - Prob. 57PCh. 7.6 - Determine the size of square bearing plates A and...Ch. 7.6 - Determine the maximum load P that can be applied...Ch. 7.6 - Determine the required diameter of the pins at A...Ch. 7.6 - Prob. 61PCh. 7.6 - Prob. 62PCh. 7.6 - The cotter is used to hold the two rods together...Ch. 7.6 - Determine the required diameter of the pins at A...Ch. 7.6 - The steel pipe is supported on the circular base...Ch. 7.6 - Prob. 66PCh. 7.6 - The boom is supported by the winch cable that has...Ch. 7.6 - The assembly consists of three disks A, B, and C...Ch. 7.6 - Prob. 69PCh. 7.6 - The two aluminum rods AB and AC have diameters of...Ch. 7.8 - A loading causes the member to deform into the...Ch. 7.8 - Prob. 8PPCh. 7.8 - A loading causes the wires to elongate into the...Ch. 7.8 - Prob. 10PPCh. 7.8 - Prob. 11PPCh. 7.8 - Prob. 25FPCh. 7.8 - If the force P causes the rigid arm ABC to rotate...Ch. 7.8 - The rectangular plate is deformed into the shape...Ch. 7.8 - The triangular plate is deformed into the shape...Ch. 7.8 - The square plate is deformed into the shape shown...Ch. 7.8 - Prob. 71PCh. 7.8 - Prob. 72PCh. 7.8 - If the load P on the beam causes the end C to be...Ch. 7.8 - The force applied at the handle of the rigid lever...Ch. 7.8 - The rectangular plate is subjected to the...Ch. 7.8 - Prob. 76PCh. 7.8 - Prob. 77PCh. 7.8 - Prob. 78PCh. 7.8 - Prob. 79PCh. 7.8 - Prob. 80PCh. 7.8 - Determine the shear strain xy at corners D and C...Ch. 7.8 - The material distorts into the dashed position...Ch. 7.8 - Prob. 83PCh. 7.8 - Determine the shear strain xy at comers A and B if...Ch. 7.8 - Prob. 85PCh. 7.8 - Determine the average normal strain that occurs...Ch. 7.8 - The corners of the square plate are given the...Ch. 7.8 - Prob. 88PCh. 7.8 - Prob. 89PCh. 7.8 - The triangular plate is fixed at its base, and its...Ch. 7.8 - The polysulfone block is glued at its top and...Ch. 7 - The beam AB is pin supported at A and supported by...Ch. 7 - The long bolt passes through the 30-mm-thick...Ch. 7 - Determine the required thickness of member BC and...Ch. 7 - The circular punch B exerts a force of 2 kN on the...Ch. 7 - Prob. 5RPCh. 7 - Prob. 6RPCh. 7 - The square plate is deformed into the shape shown...Ch. 7 - Prob. 8RPCh. 7 - The rubber block is fixed along edge AB, and edge...
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- 1. A loading causes the member to deform into the dashed shape. Explain how to determine the normal strains ɛcd and ɛAB. The displacement A and the lettered dimensions are known. B L. L/2 A 2 L (а) L. B L/2 A 2 L (b)arrow_forwardFor the given state of plane strain, use Mohr's circle to determine the state of plane strain associated with axes x' and y rotated through the given angle 0. Ex = 0, Ɛy= +320µ, Yxy=-100µ, 0 = 25° (Round the final answers to one decimal place.) X The strains are Ex' = Ey'= Yx'y'=|arrow_forward(a) Determine the shear strain at corner A if the plate distorts as shown by the dashed line. (b) Determine the average normal strain that occurs along the diagonal AC and DB. 5 mm 2 mm 4 mm 2 mm IB 300 mm $2 mm D A 400 mm 3 mmarrow_forward
- The material distorts into the dashed position shown. Determine the average normal strains Px, Py and the shear strain gxy at A, and the average normal strain along line BE.arrow_forwardThe strain components e x, e y, and γ xy are given for a point in a body subjected to plane strain. Using Mohr’s circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle θ p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex Ey Yxy −1,570 με -430με -950 μradarrow_forwardThe strain components ɛ, Ey, and yy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 300 µe, ɛ, = -710 pe, Vxy = -440 urad. Enter the angle such that -45°s0,s +45°. Answer: Ep1= pe Ep2= με Ymax in-plane = prad Yabsolute max. prad Əp =arrow_forward
- For the given state of plane strain, use Mohr's circle to determine the state of plane strain associated with axes x' and y rotated through the given angle 8. Ex=-500μ, &y=+250µ, Yxy = 0, 0 = 13° O (Round the final answers to one decimal place.) The strains are Ex'= Ey₁ = | Vx'y¹=[ Harrow_forwardDetermine the shear strain Y., at corners A and B if the plastic distorts as shown by the dashed lines SOLUTION Geometry: Referring to the geometry shown in Fie a the small.anoto ancheir mins 3 mm 300 mm 4 mm 12 mm B mm 8 mm mmarrow_forwardThe strain components sy Sy, and yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0, principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex =360 uɛ, ɛ, = -640 uɛ, Yxy = -790 urad. Enter the angle such that -45°se,s+45°. the Answer: Ep1= Ep2 = Ymax in-plane = prad Yabsolute max. prad %3D %3Darrow_forward
- 2. An elastic block of equal side lengths is deformed into the shape shown by the dashed lines. Determine the shear strain at corner A and at corner C in the deformed position. Ans: -0.026 rad at A, 0.2075 rad at C 3 mm B B D' 53 mm 50 mm 91.5 50 mm 8 mmarrow_forward*R7-8. The square plate is deformed into the shape shown by the dashed lines. If DC has a normal strain e,-0.004, DA has a normal strain e,-0.005 and at D, yay- 0.02 rad, determine the shear strain at point E with respect to the x' and y' axes. 600 mm- B' 600 mmarrow_forwardThe strain components ɛx, Ey, and yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 HE, ɛy = 380 µɛ, Yxy = 230 µrad. Enter the angle such that -45° s 0,s+45°. Answer: Ep1 = με Ep2 = με Ymax in-plane = prad Yabsolute max. = prad 0, =arrow_forward
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