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 89P
To determine
Find the average normal strain along the x-axis.
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F7-29. The square plate is deformed into the shape shown
by the dashed line. Determine the average normal strain
along diagonal AC and the shear strain at point E with
respect to the x and y axes.
mm
300 mm
300 mm -
3 тm
3 mm
The rectangular plate is subjected to the deformation shown by the dashed line. Determine the average shear strain gxy in the plate.
*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 mm
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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- 7-75. The square deforms into the position shown by the dashed lines Determine the shear strain at each of its corners, A, B, C, and D, relative to the x, y axes. Side D'B' remains horizontal. 3 mm 53 mm 50 mm 91.5 50 mm 8 mmarrow_forwardR7-9. The rubber block is fixed along edge AB, and edge CD is moved so that the vertical displacement of any point in the block is given by e(x) -(20/b') . Determine the shear strain ysy at points (b/2, a/2) and (b, a). 14arrow_forwardThe undeformed length of the bar is 300mm. It is subjected to a Shear Strain Defined by; y = kx (y is the symbol of shear strain). Find the magnitude of delta Y.arrow_forward
- The board is subjected to a tensile force of 200 lb. Determine the average normal and average shear stress in the wood fibers, which are oriented along plane a–a at 20° with the axis of the board.arrow_forwardIf the plate distorts as shown by the dashed lines, determine (a) the shear strain Yy at corners C and D, and (b) the average normal strain that occurs along the diagonals ху AC and DB. y 5 mm, 2 mm 4 mm 2 mm; C 300 mm 2 mm D А 400 mm 3 mmarrow_forward*2-13. The piece of rubber is originally rectangular. Determine the average shear Yzy at A if the corners B and D are subjected to the displacements that cause the rubber to distort as shown by the dashed lines. Prob. 2-13 3 mm- y D 400 mm AK -300 mm- C B 2 mm Xarrow_forward
- The rod has a circular cross section. If it is made of an elastic perfectly plastic material, determine the shape factor for the rod.arrow_forward7-87. The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5 mm. Determine the average normal strain e, along the x' axis. 800 mm 45 mm 45 S00 mmarrow_forward7-27. The bar has a cross-sectional area A and is subjected to the axial load P. Determine the average normal and average shear stresses acting over the shaded section, which is oriented at 0 from the horizontal. Plot the variation of these stresses as a function of 0 (0 ≤ 0 ≤ 90°). P 07 Ꮎ . Prob. 7-27 A Parrow_forward
- R7-7. 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, yy-0.02 rad, determine the average normal strain along diagonal CA. 600 mm- B' 600 mmarrow_forward7-90. Determine the shear strain Yxy at corners D and C if the plastic distorts as shown by the dashed lines. 7-91. Determine the average normal strain that occurs along the diagonals AC and DB. 2 mm 1 y C 300 mm 2 mm D 400 mm A 5 mm B 3 mm Probs. 7-89/90/91 4 mm 2 mm Xarrow_forwardThe 60o strain rosette is mounted on the surface of the bracket. The following readings are obtained for each gage: ϵa = -650(10-6), ϵb = 450(10-6), and ϵc =670(10‑6). Determine the plain strain components ϵx , ϵy and γxy at that point.arrow_forward
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