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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A rectangular column with a 4.4-m effective length is made of glued laminated wood. Knowing that for the grade of wood used the adjusted allowable stress for compression parallel to the grain is σC=8.3 MPa and the adjusted modulus E= 4.6 GPa, determine the maxi-mum allowable centric load for the column.
A 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.
A timber block 250 mm square is reinforced on each
side by a steel plate 250 mm wide and t mm thick.
Determine the thickness t so that the assembly will
support an axial load of 1200 kN without exceeding a
maximum timber stress of 8 Mpa or a maximum
steel stress of 140 Mpa. For timber, E = 10 x 103
Mpa; for steel, E = 200 x 103 Mpa.
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- An axial load P is supported by a short W8x40 column of cross-sectional area A=11.7 in? and is distributed to a concrete foundation by a square plate as shown. Knowing that the average normal stress in the column must not exceed 30ksi and that the bearing stress on the concrete foundation must not exceed 3.0 ksi, determine the side "a" of the plate that will provide the most economical and safe design.arrow_forwardAn annular washer distributes the load P applied to a steel rod to a timber support. The rod's diameter is 22 mm, and the washer's inner diameter is 25 mm, which is larger than the hole's permissible outer diameter. Knowing that the axial normal stress in the steel rod is 35 MPa and the average bearing stress between the washer and the timber must not exceed 5 MPa, examine the smallest allowed outer diameter, d, of the washer. %3D %3D +22 mm P Figure 4arrow_forwardTwo 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 90 psi, determine the largest load P that can be safely supported if W = 2.4 in, L = 8.2 in and θ= 51.8. Round off the final answer to two decimal places.arrow_forward
- Determine the largest axial load P that can be safely supported by a flat steel bar consisting of two portions, both 10 mm thick and, respectively, 40 and 80 mm wide, connected by fillets of radius r=4 mm. Assume an allowable normal stress of 180 MPa.arrow_forwardThe steel frame shown has a diagonal brace BD with an area of 1548 sq.mm. Determine the largest allowable load P (in N) if the change in length of member BD is not to exceed 1.35 mm. Use x = 4.59m, y = 5.76m, and E = 199.3 Gpa. Express your answer in four decimal places.arrow_forwardThe outside diameter of the steel pipe shown is 220 mm and its wall thickness is 6.0 mm. The upper bearing plate has the same width as the reinforced concrete beam it supports. The total load on the column by the reinforced concrete beam is 550 kN. Determine: A. The length L of the rectangular upper bearing plate if its width is 275 mm. and the average bearing stress between the steel plate and the reinforced concrete beam is not to exceed 6.2 MPa.arrow_forward
- A line of slope 4:10 has been scribed on a cold-rolled yellow-brass plate, 6 in. wide and 1414 in. thick. Knowing that E = 15 × 106 psi and ν = 0.34, determine the slope of the line when the plate is subjected to a 50-kip centric axial load P as shown. The slope of the line is .arrow_forwardA pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal before the load P is applied. Bars (1) and (2) are both made from steel [E = 30,000 ksi] and both have a cross-sectional area of 1.25 in.?. If the normal stress in bar (1) must be limited to 31 ksi, determine the maximum load P that may be applied to the rigid bar. 120 in. 80 in. (2) (1) B D 54 in. 54 in. 24 in. Parrow_forwardA steel plate 5/16 in. thick is embedded in a horizontal concrete slab and is used to anchor a high-strength vertical cable as shown. The diameter of the hole in the plate is 3/4in., the ultimate strength of the steel used is 36 ksi, and the ultimate bonding stress between plate and concrete is 300 psi. Knowing that a factor of safety of 3.60 is desired when P = 2.5 kips, determine (a) the required width a of the plate,(b) the minimum depth b to which a plate of that width should be embedded in the concrete slab. (Neglect the normal stresses betweenthe concrete and the lower end of the plate.)arrow_forward
- A steel rod of 30 mm diameter is enclosed centrally in a hollow copper tube of external diameter 40 mm and 5 mm thick. The composite bar is then subjected to an axial pull of 45 kN. If the length of the compound rod is 150 mm , and the elasticity moduli are Est = 200 GPa and Ecu = 100 GPa , determine: 1.2.2 The load carried by the rod and that carried by the tubearrow_forwardA pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal before the load P is applied. Bars (1) and (2) are both made from steel [E = 30,000 ksi] and both have a cross-sectional area of 1.25 in.?. If the normal stress in bar (1) must be limited to 23 ksi, determine the maximum load P that may be applied to the rigid bar. 120 in. 80 in. (2) (1) B C 54 in. 54 in. 24 in. O 40.7 kips O 60.3 kips 32.2 kips 43.1 kipsarrow_forwardA pin-connected truss is loaded and supported as shown. Each aluminum member has a cross-sectional area of A = 2.2 in.². Assume a = 4.00 ft and b = 4.80 ft. If the normal stress in each member must not exceed 55 ksi, determine the maximum load Pmax that may be supported by the structure. D Answer: Pmax= kips iarrow_forward
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Column buckling; Author: Amber Book;https://www.youtube.com/watch?v=AvvaCi_Nn94;License: Standard Youtube License