9.42 A 25-mm-diameter aluminum rod, 3 m long, is subjected to an axial tensile load of 67 kN. Assume a proportional limit of 207 MPa. Compute (a) stress (b) strain (c) total elongation 9.43 A short timber post of Douglas fir is subjected to an axial com- pressive load of 40,000 lb. The nominal dimensions of the post area are 8 in. by 8 in. Its length is 8 ft-6 in. Assume a propor- tional limit of 6000 psi. Using dressed dimensions, compute (a) stress (b) strain (c) total deformation 9.44 A 100-ft surveyor's steel tape with a cross-sectional area of 0.005 in.² is subjected to a 15-lb pull when in use. Compute (a) the total elongation of the tape (b) the tensile stress developed in the tape 9.45 An 18-in.-long steel rod is subjected to a tensile load of 12,000 lb. The rod has a diameter of 1 in. Compute (a) the tensile stress (b) the strain (c) the total elongation nognitude of the tensile load that would pro-

9.42 A 25-mm-diameter aluminum rod, 3 m long, is subjected to an axial tensile load of 67 kN. Assume a proportional limit of 207 MPa. Compute (a) stress (b) strain (c) total elongation 9.43 A short timber post of Douglas fir is subjected to an axial com- pressive load of 40,000 lb. The nominal dimensions of the post area are 8 in. by 8 in. Its length is 8 ft-6 in. Assume a propor- tional limit of 6000 psi. Using dressed dimensions, compute (a) stress (b) strain (c) total deformation 9.44 A 100-ft surveyor's steel tape with a cross-sectional area of 0.005 in.² is subjected to a 15-lb pull when in use. Compute (a) the total elongation of the tape (b) the tensile stress developed in the tape 9.45 An 18-in.-long steel rod is subjected to a tensile load of 12,000 lb. The rod has a diameter of 1 in. Compute (a) the tensile stress (b) the strain (c) the total elongation nognitude of the tensile load that would pro-

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Wood planks are used on each working level. The deck width/bearer span is 5 ft.. The bearers and posts are standard pipe and the pipe material is A36 steel with a yield stress of 36,000 psi and modulus of elasticity of 29,000,000 psi. Bearers are to be located at a vertical spacing of 10 ft (largest, lowest post height). Posts are to be 7 ft oc (plank length) parallel to the building wall and 5 ft apart (bearer length) perpendicular to the building wall. There are four working levels and the anticipated scaffold loading will be med duty. A. Assuming the ultimate bending strength of the planks is 3,800 psi (apply a 4:1 F.O.S.), determine the required minimum plank thickness to the nearest 100th. B. Based on the bearer material provided, what is the minimum pipe size that can be safely used? See Appendix 2 in your textbook for steel pipe properties. C. Based on the post material provided, can a 2” standard pipe be used safely? Be sure it satisfies buckling stress conditions only.
7-17 The wood beam has an allowable shear stress of Tallow 7 MPa. Determine the maximum shear force V that can be applied to the cross section. 50 mm 50 mm 50 mm 50 mm 100 mm- 200 mm
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A 100 mm x 200 mm wooden beam with a clear span of 7.2 m is embedded firmly ea one end and is simply supported on the other end as shown in the figure. If the allowable stresses are respectively 13.8 MPa and 1.11 MPa for bending and shear, ODetermine the safe maximum uniform load the beam can carry. Yeight of wood is 9.9 kN/m3 Find the reaction at B. OFind the max, moment of the beam.
3. Three 18 mm diameter steel bolts are to be used to attach the steel plate to a wooden beam. The plate has to support a load of 110 KN. The ultimate shearing stress for the steel used is 360 MPa. Determine what will be the factor of safety for this design. HOAN
The wood beam has a square cross section. Find the smallest allowable cross-sectional dimensions if the working stresses are 8 MPa in bending and 1.0 MPa in shear. 5 kN 2 kN • m D B F10m- 1.0 m 1.0 m -1.0 m
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5 A T-shaped simply supported beam has the cross section shown in Figure P1.4. It has a spa (11 m), is loaded with a gravity live-load unit intensity W=2,500 plf (36.5 kN/), and is pre with twelve -in.-dia (twelve 12.7-mm-dia) seven-wire stress-relieved strands. Compute crete fiber stresses at service load by each of the following methods: (a) Basic concept (b) C-line (c) Load balancing Assume that the tendon eccentricity at midspan is e,= 9.6 in. (244 mm). Then given that S: - 5,000 psi (34.5 MPa) f. - 12V: - 849 psi (5.9 MPa) foe - 165.000 psi (1,138 MPa) : section properties are as follows: A -504 in² 1 = 37,059 in. - IJA. - 73.5 in. C, - 12.43 in. Wp - 525 pif e- 9.6 in. Apa - twelve in.-dia, seven-wire stress-relie S, - 2,981 in. S - 2,109 in. 1'-0 18 6 24LT30 ution#5 (to be typed here by the student) Solve all 3 parts