Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 7.5, Problem 2PP
In each case, determine the largest internal shear force resisted by the bolt. Include all necessary free-body diagrams.
Prob. P7-2
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De Moivre’s Theorem
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Determine the shear flow qqq for the given profile when the shear forces acting at the torsional center are Qy=30Q_y = 30Qy=30 kN and Qz=20Q_z = 20Qz=20 kN. Also, calculate qmaxq_{\max}qmax and τmax\tau_{\max}τmax.
Given:Iy=10.5×106I_y = 10.5 \times 10^6Iy=10.5×106 mm4^44,Iz=20.8×106I_z = 20.8 \times 10^6Iz=20.8×106 mm4^44,Iyz=6×106I_{yz} = 6 \times 10^6Iyz=6×106 mm4^44.
Additional parameters:αy=0.5714\alpha_y = 0.5714αy=0.5714,αz=0.2885\alpha_z = 0.2885αz=0.2885,γ=1.1974\gamma = 1.1974γ=1.1974.
(Check hint: τmax\tau_{\max}τmax should be approximately 30 MPa.)
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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