Problem 2.2 A steel beam having a simple span of 9 m is subjected to a moment M at the left end (Clockwise) and 25% of M at the right end (Counter clockwise). It has no lateral support and has the following properties: bf= 210 mm rt = 52 mm a) Find the slenderness ratio of the beam. d= 530 mm Sx = 2.10 x 10°6 mm^3 Determine the allowable bending stress. Compute the moment capacity. b) c) tf = 16 mm Fy = 248 MPa

Problem 2.2 A steel beam having a simple span of 9 m is subjected to a moment M at the left end (Clockwise) and 25% of M at the right end (Counter clockwise). It has no lateral support and has the following properties: bf= 210 mm rt = 52 mm a) Find the slenderness ratio of the beam. d= 530 mm Sx = 2.10 x 10°6 mm^3 Determine the allowable bending stress. Compute the moment capacity. b) c) tf = 16 mm Fy = 248 MPa

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; I = 1780 in.“]. For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Assume MA = 230 kip-ft, P = 24 kips, LAB = 5.2 ft, LBc = 7.8 ft. %3D MA A В C LAB LBC
A T-section having a cross section shown has a span of 3.6 m. The location of the neutral axis is located 130 mm from the bottom of the beam. Elastic moment of inertia of the beam 200 mm 40 mm 160 mm 50 mm Wu 3.6 m | = 58.13 x 106 mm4 Fy = 250 MPa %D a. Compute the yield moment capacity of the beam. b. Compute the plastic moment capacity of the beam. c. Compute the shape factor. (S.F. = Z/S)
4. The beam shown in figure below (W 410 x 46.1) has continuous lateral support of both flanges. The uniform load is service load consisting of 50% dead load and 50% live load. The dead load includes the weight of the beam. Use A36M steel materials and Determine the service superimposed dead load and live load in (kN /m) can be applied on the member. tum. +1.85 + 5.4m 7/ -1.8mx|
A section is given below. the beam has a span of 4m with Fy = 250 MPa. Compute por the Following: a.) Yield moment capacity of the beam b.) Plastic mo ment eapacity of the beam C.) Shape Factor of the beam 160mm 20 mm 165 80mm Somm gomm (21
The simply supported beam consists of a W460 x 82 structural steel wide-flange shape [E = 200 GPa; I = 370 x 10° mm*]. For the loading shown, determine the beam deflection vc at point C. Assume P = 62 kN, w = 36 kN/m, LAB = LBc = 2.8 m, Lco = 1.8 m. B |C LẠB LBC LCD mm. Answer: Vc =
Determine the design moment capacity of the beam with the following sections properties. Given: d = 684mmd’ = 60mmb = 350mmfy = 420 MPaf’c = 20 MPacompression reinforcement = 2-20mm Φtension reinforcement = 4-32mm Φ
Determine the maximum safe service live load that the beam can carry if the service dead load is 12 kN/m including the beam weight and based on the capacity of the beam section shown. Use fc'=40 MPa and fy=415 MPa. Top bars are 6-32mm and bottom bars are 3-28 mm, center to center distance between the bar layers is 108mm. 7o mm 108 352 7o mm 300 mm
The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; I = 1720 in.4). For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Assume MA - 170 kip-ft, P = 30 kips, LAB - 5.7 ft, Lgc = 8.6 ft. P MA A B LAB LBC Answer: (a) VA = in. (b) vB - in.
Current Attempt in Progress The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi; 1 = 843 in.4]. Assume that the support at D can provide resistance either up or down. For a loading of w = 5.4 kips/ft, determine: (a) the beam deflection VÀ at point A. (b) the beam deflection vc at point C. Assume LAB = 13 ft, LBc = 7 ft, LcD = 7 ft, Lde = 6 ft. W B Answers: (a) VA = (b) vc= LAB LBC D LCD in. in. LDE E X
The simply supported beam consists of a W460 x 82 structural steel wide-flange shape [E = 200 GPa; I = 370 x 106 mm*]. For the loading shown, determine the beam deflection vc at point C. Assume P = 69 kN, w = 21 kN/m, LAB = LBc= 3.1 m, LCD = 1.7 m. P |B D LAB LBC LCD mm. Answer: vc=
The beam shown is reinforced for tension at the bottom with 6-28 mm bars and at the top with 3-22 mm bars. Use f'c = 22.64 MPa and fy = 414.7 MPa, Use the following dimensions: d = 592 mm dc = 75 mm btop = 281 mm bbottom=517 mm t = 137 mm d t bbottom Calculate the factored uniform load the beam can support if it spans a simple support of 7.65 m. d' biop ● ●
5. A beam has a width of 300mm and effective depth of 540mm. d 60mm. It is reinforced with 8- 25mm diam tension bars and 4-25mm compression bars. What is the ultimate moment capacity of the beam? fc=28mpa & fy=420mpa