Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 11.2, Problem 11.18P
to safely support the load. The wood has an allowable normal stress of σallow = 1.5 ksi and an allowable shear stress of τallow =150 psi.
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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.
The compound wooden beam is connected together by a bolt at B. Assuming that the connections at A, B, C, and D exert only vertical forces on the beam, determine the required diameter of the bolt at B and the required outer diameter of its washers if the allowable tensile stress for the bolt is 1st2allow = 150 MPa and the allowable bearing stress for the wood is 1sb2allow = 28 MPa. Assume that the hole in the washers has the same diameter as the bolt.
Someone already solved this and the answr is .0212 and -0.025. My question is is it okay to solve this even if it is not in equilibrium? Why?
Chapter 11 Solutions
Mechanics of Materials
Ch. 11.2 - Determine the minimum dimension a to the nearest...Ch. 11.2 - of the rod to safely support the load. The rod is...Ch. 11.2 - The wood has an allowable normal stress of allow =...Ch. 11.2 - of the beam's cross section to safely support the...Ch. 11.2 - Determine the minimum dimension b to the nearest...Ch. 11.2 - The beam is made of steel having an allowable...Ch. 11.2 - Determine its dimensions if it is to be...Ch. 11.2 - Determine the minimum width of the beam to the...Ch. 11.2 - if P=10 kip.Ch. 11.2 - If the allowable bending stress is allow = 22 ksi...
Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - The allowable bending stress is allow = 22 ksi and...Ch. 11.2 - 11–7. Draw the shear and moment diagrams for the...Ch. 11.2 - *11–8. The simply supported beam is made of timber...Ch. 11.2 - The beam has an allowable normal stress of allow =...Ch. 11.2 - The beam has an allowable normal stress of allow...Ch. 11.2 - 11–11. The timber beam is to be loaded as shown....Ch. 11.2 - If each beam is to be designed to carry 90 lb/ft...Ch. 11.2 - 11–13. Select the lightest steel wide-flange beam...Ch. 11.2 - 11–14. Select the lightest-weight steel...Ch. 11.2 - Prob. 11.15PCh. 11.2 - The beam has an allowable normal stress of allow....Ch. 11.2 - Determine the maximum cable force P that can...Ch. 11.2 - to safely support the load. The wood has an...Ch. 11.2 - and the wood has an allowable normal stress of...Ch. 11.2 - Prob. 11.20PCh. 11.2 - Prob. 11.21PCh. 11.2 - Prob. 11.22PCh. 11.2 - 11–23. The beam is constructed from three boards...Ch. 11.2 - Prob. 11.24PCh. 11.2 - Prob. 11.25PCh. 11.2 - Select the lightest-weight wide-flange beam from...Ch. 11.2 - Prob. 11.27PCh. 11.2 - * 11–28. The joist AB used in housing construction...Ch. 11.2 - If the maximum bending stress is not to exceed...Ch. 11.2 - 11–30. The simply supported beam supports a load...Ch. 11.4 - Determine the variation in the width was a...Ch. 11.4 - Prob. 11.32PCh. 11.4 - Prob. 11.33PCh. 11.4 - The beam is made from a plate that has a constant...Ch. 11.4 - Determine the variation in the depth d of a...Ch. 11.4 - Determine the variation of the radius r of the...Ch. 11.4 - Prob. 11.37PCh. 11.4 - Determine the variation in the width b as a...Ch. 11.4 - The tubular shaft has an inner diameter of 15 mm....Ch. 11.4 - Prob. 11.40PCh. 11.4 - Prob. 11.41PCh. 11.4 - Prob. 11.42PCh. 11.4 - Prob. 11.43PCh. 11.4 - Prob. 11.44PCh. 11.4 - Prob. 11.45PCh. 11.4 - Prob. 11.46PCh. 11 - The cantilevered beam has a circular cross...Ch. 11 - Select the lightest-weight wide-flange overhanging...Ch. 11 - Prob. 11.49RPCh. 11 - Determine the shaft's diameter to the nearest...Ch. 11 - Select the lightest-weight wide-flange beam from...Ch. 11 - The simply supported joist is used in the...Ch. 11 - The simply supported joist is used in the...Ch. 11 - by 4-in. pieces of wood braced as shown. If the...
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- A hollow steel tube with an inside diameter of 100 mm must carry a tensile load of 400 kN. Determine the outside diameter of the tube if the stress is limited to 120MN/m?arrow_forwardDetermine the normal stress in each section of the assembly. The diameter of the solid shaft of each section is 0.50 inches. Give the answer in Ib/in?. Assume Point A is a fixed support and the block at A is rigid. Indicate if it is in tension or compression. 3.50 kip 1.75 kip 5.00 kip B 3.50 kip A 1.75 kip 18 in. 12 in.- 16 in: CAR = units %3D IIarrow_forwardA 2" diameter pin connects the three links as shown. The links have a 3" by 3" cross- section. Determine the shear stress in the pin and the maximum normal stress in the upper link. If the material is 6061 Aluminum (gy = 35 ksi, y= 20 ksi) determine the factor of safety for both the pin and the link. 9000 (1bf)arrow_forward
- The vertical shaft with a diameter of d = 20 mm is supported by a thrust collar that rests on a 21-mm-thick plate. The thrust collar is 16-mm thick. Assume that the load P causes a compressive stress of 190 MPa in the shaft. If the bearing stress between the thrust collar and the plate is limited to 35 MPa, determine the minimum outer diameter Dcollar that must be used for the thrust collar. Thrust collar area Plate Thrust collar d Dcollararrow_forwardDownvote for incorrect answer The connection is made using a bolt and nut and two washers. If the allowable bearing stress of the washers on the boards is (b)allow 2 ksi, and the allowable tensile stress within the bolt shank S is (allow 18 ksi, determine the maximum = allowable tension in the bolt shank. The bolt shank has 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_forwardThe screw of the clamp exerts a compressive force of 500 lb on the woodblocks. Sketch the stress distribution along section a–a of the clamp. The cross section is rectangular, 0.75 in. by 0.50 in.arrow_forward
- The five-bolt connection shown must support an applied load of P = 370 kN. If the average shear stress in the bolts must be limited to 200 MPa, determine the minimum bolt diameter that may be used in the connection. 15.3 mm 13.5 mm 21.7 mm 25.2 mm 23.8 mmarrow_forwardIf the allowable tensile stress for wires AB and AC is sallow = 200 MPa, determine the required diameter of each wire if the applied load is P = 6 kN.arrow_forwardA column has an outside diameter, D = 550 mm, an inner diameter, d = 150 mm.Determine the average normal stress developed on the cross section if the load, F is1890 kN.arrow_forward
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