Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 7.6, Problem 24FP
To determine
Find the minimum diameter of each nail to the nearest
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Determine the minimum diameter d to the nearest 18 in. of the rod to safely support the load. The rod is made of a material having an allowable normal stress of sallow = 20 ksi and an allowable shear stress of tallow = 10 ksi.
300 Ib/ft
3. Six nails are used to hold the hanger at A against
the column. Determine the minimum required diameter of
each nail to the nearest 1/16 in. if it is made of material
having 7fail = 16 ksi. Apply a factor of safety of F.S. = 2
against shear failure.
B
-9 ft
If the bolt head and the supporting bracket are made of the same material having a failure shear stress of tfail = 120 MPa, determine the maximum allowable force P that can be applied to the bolt so that it does not pullthrough the plate. Apply a factor of safety of F.S. = 2.5 against shear failure.
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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- The aluminum bracket A is used to support the centrally applied load of 8 kip. If it has a thickness of 0.5 in., determine the smallest height h in order to prevent a shear failure. The failure shear stress is tfail = 23 ksi. Use a factorof safety for shear of F.S. = 2.5.arrow_forwardThe cotter is used to hold the two rods together. Determine the smallest thickness t of the cotter and the smallest diameter d of the rods. All parts are made of steel for which the failure of normal stress is sfail = 500 MPa and the failure shear stress is tfail = 375 MPa. Use a factor of safety of (F.S.)t = 2.50 in tension and (F.S.)s = 1.75 in shear.arrow_forwardThe connection is made using a bolt and nut and two washers. If the allowable bearing stress of the washers on the boards is (sb)allow = 2 ksi, and the allowable tensile stress within the bolt shank S is (st)allow = 18 ksi, determine the maximum allowable tension in the bolt shank. The bolt shankhas a diameter of 0.31 in., and the washers have an outer diameter of 0.75 in. and inner diameter (hole) of 0.50 in.arrow_forward
- F7-22. The pin is made of a material having a failure shear stress of Ta - 100 MPa. Determine the minimum required diameter of the pin to the nearest mm. Apply a factor of safety of F.S. - 2.5 against shear failure. s0 kNarrow_forwardThe links of the chains are made of steel that has a working stress of 300 MPa in tension. If the chain is to support the force P = 45 kN, determine the smallest safe diameter d of the links in mm.arrow_forwardQI/ The aluminum bracket A is used to support the centrally applied load of 8 kip. If it has a constant thickness of 0.5 in., determine the smallest height h in order to prevent a shear failure. The failure shear stress is Trait = 25ksi. Use a factor of safety for shear of F.S. - 3.0. 10 kiparrow_forward
- The tension member is fastened together using two bolts, one on each side of the member as shown. Each bolt has a diameter of 0.3 in. Determine the maximum load P that can be applied to the member if the allowable shearstress for the bolts is tallow = 12 ksi and the allowable average normal stress is sallow = 20 ksi.arrow_forwardThe assembly consists of three disks A, B, and C that are used to support the load of 140 kN. Determine the smallest diameter d1 of the top disk, the largest diameter d2 of the opening, and the largest diameter d3 of the holein the bottom disk. The allowable bearing stress for the material is (sb)allow = 350 MPa and allowable shear stress is tallow = 125 MPa.arrow_forwardF7-23. If the bolt head and the supporting bracket are made of the same material having a failure shear stress of Tul-120 MPa, determine the maximum allowable force P that can be applied to the bolt so that it does not pull through the plate. Apply a factor of safety of FS. - 25 against shear failure. -80 mm- 75 mm 30 mm 40 mmarrow_forward
- The column is loaded with an axial force of P = 2,050 kN through a rigid endplate. Determine the deformation of the column in mm.arrow_forwardThe pin is made of a material having a failure shear stress of τfail = 125 MPa. Determine the minimum required diameter of the pin. Apply a factor of safety of F.S. = 2.5 against shear failure.arrow_forwardThe assembly consists of three disks A, B, and C that are used to support the load of 140 kN. Determine the smallest diameter d₁ of the top disk, and the largest diameter d₂ of the opening, and the largest diameter d3 of the hole in the bottom disk. The allowable bearing stress for the material is (b) allow = 350 MPa and the allowable shear stress is Tallow=125 MPa. C B d₁ -| A 140 kN 20 mm 10 mm d3 d2arrow_forward
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Column buckling; Author: Amber Book;https://www.youtube.com/watch?v=AvvaCi_Nn94;License: Standard Youtube License