Statics and Mechanics of Materials
2nd Edition
ISBN: 9780073398167
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David Mazurek
Publisher: McGraw-Hill Education
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Chapter 16.2, Problem 40P
A glue-laminated column of 3-m effective length is to be made from boards of
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- The length of the 332332 -in.-diameter steel wire CD has been adjusted so that with no load applied, a gap of 116116 in. exists between the end B of the rigid beam ACB and contact point E. Knowing that E = 29 × 106 psi, determine where a 57-lb (w) block should be placed on the beam in order to cause contact between B and E. For contact, x < in.arrow_forwardKnowing that connecting rod BD has a uniform cross section of area equal to 800 mm², determine the magnitude of the load P so that the normal stress in rod BD is 50 MPa.arrow_forwardIn the steel structure shown, a 6-mm-diameter pin is used at C and 12-mm-diameter pins are used at B and D. The ultimate shearing stress is 150 MPa at all connections, and the ultimate normal stress is 350 MPa in link BD. Knowing that a factor of safety of 3.0 is desired, determine the largest load P that can be applied at A. Note that link BD is not reinforced around the pin holes. The largest load P that can be applied at A is kN.arrow_forward
- A load P is supported as shown by a steel pin that has been inserted in a short wooden member hanging from the ceiling. The ultimate strength of the wood used is 60 MPa in tension and 7.5 MPa in shear,while the ultimate strength of the steel is 145 MPa in shear. Knowing that b = 40 mm, c = 55 mm, and d = 12 mm, determine the load P if an overall factor of safety of 3.2 is desired.arrow_forwardColumn ABC has a uniform rectangular cross section with b=12 mm and d=22 mm. The column is braced in the xz plane at its midpoint C and carries a centric load P of magnitude 3.8 kN. Knowing that a factor of safety of 3.2 is required, determine the largest allowable length L. Use E=200 GPaarrow_forwardIn the structure shown, an 8-mm-diameter pin is used at A and 12 mmdiameter pins are used at B and D. Knowing that the ultimate shearingstress is 100 MPa at all connections and the ultimate normal stress is 250 MPa in each of the two links joining B and D, determine the allowable load P if an overall factor of safety of 3.0 is desired.arrow_forward
- In the steel structure shown, a 6-mm-diameter pin is used at C and10-mm-diameter pins are used at B and D. The ultimate shearing stress is 150 MPa at all connections, and the ultimate normal stress is 400 MPa in link BD. Knowing that a factor of safety of 3.0 is desired,determine the largest load P that can be applied at A. Note that link BD is not reinforced around the pin holes.arrow_forwardA sawn lumber column with a 7.5* 5.5-in. cross section has an 18-ft effective length. Knowing that for the grade of wood used the adjusted allowable stress for compression parallel to the grain isσC= 1200 psi and that the adjusted modulus E= 470 *103 psi, determine the maximum allowable centric load for the column.arrow_forwardA rectangular cross section steel column of length L, a fixed end at B and supports a concentric load at A as shown. Point A is restrained from moving in one of the vertical planes of symmetry of the column, but allows to move in the other plane by the use of two smooth and rounded fixed plates.(a) Determine the ratio a/b of the two sides of the cross section corresponding to the most efficient design against buckling.(b) Design the most efficient cross section for the column, knowing that L = 45 in., E = 10 x 106 psi, P = 20 kips, and that a factor of safety of 2.7 is required. Answers: (a) _______ (b) _______arrow_forward
- Two wooden members of uniform cross section are joined by the simple scarf splice shown. Knowing that the maximum allowable tensile stress in the glued splice is 96.8 psi, determine the largest load P that can be safely supported if W = 4.8 in, L = 9.2 in and θ= 54.4.arrow_forwardA block of 10-in. length and 1.8 3 1.6-in. cross section is to sup-port a centric compressive load P. The material to be used is a bronze for which E5 14 3 106 psi. Determine the largest load that can be applied, knowing that the normal stress must not exceed 18 ksi and that the decrease in length of the block should be at most 0.12% of its original lengtharrow_forwardThree wooden planks are fastened together by a series of bolts to form a column. The diameter of each bolt is 12 mm and the inner diameter of each washer is 16 mm, which is slightly larger than the diameter of the holes in the planks. Determine the smallest allowable outer diameter d of the washers, knowing that the average normal stress in the bolts is 36 MPa and that the bearing stress between the washers and the planks must not exceed 8.5 MPa.arrow_forward
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Column buckling; Author: Amber Book;https://www.youtube.com/watch?v=AvvaCi_Nn94;License: Standard Youtube License