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The cross-sectional area of a wide-flange I-beam has the dimensions shown. Obtain a close approximation to...
2. The beam shown in the figure below is a wide-flange W16x31 with a cross-sectional area...
2. The beam shown in the figure below is a wide-flange W16x31 with a cross-sectional area of 9.12 in- and a depth of 15.88 in. The second moment of area is 375 in". The beam is subjected to a uniformly distributed load of 1000 lb/ft and a point load of 500 lb. The modulus of elasticity of the beam is E = 29x106 1b/in. Determine the vertical displacement at node 3 and the rotations at nodes 2 and 3. Also,...
A beam of rectangular cross section 200 mm deep and 100 mm wide. If the beam...
A beam of rectangular cross section 200 mm deep and 100 mm wide. If the beam is 3m long, simply supported at either end and carries point loads as shown in FIGURE 2 (on page 4). 2. SAN 1OAN R, FR 100mm FIG.2 (a) Calculate the maximum bending moment (b) Calculate the maximum stress in the beam (c) At the point of maximum stress sketch a graph of the stress distribution through the thickness of the beam, indicating which are...
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm....
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm. The centroid is 75 mm, h = 90 mm, t the beam are b 60 mm, h, at C and c 30 mm. At a certain section of the beam, the bending moment is M 5.4 kN m and the vertical shear force is V= 30 kN. (a) Show that the moment of inertia of the cross-section about the z axis (the neutral axis)...
6.9-4 The cross section of an unbalanced wide- flange beam is shown in the figure. Derive...
6.9-4 The cross section of an unbalanced wide- flange beam is shown in the figure. Derive the fol- lowing formula for the distance e from the centerline of the web to the shear center S e- check the formula for the special cases of a Also, channel section (bi 0 and ba -b symmetric beam (bl =b2 =b/2 2-b) and a doubly Ir 2 PROBLEM 6.9-4
A wood beam supports the loads shown. The cross-sectional dimensions of the beam are shown in...
A wood beam supports the loads shown. The cross-sectional dimensions of the beam are shown in the second figure. Assume LAB=2.8 m, LBC=1.1 m, LCD=1.6 m, w=12 kN/m, P=6.8 kN, b1=20 mm, b2=75 mm, d1=100 mm, and dz=240 mm. Determine the magnitude of: (a) the maximum horizontal shear stress Tmax in the beam. (b) the maximum tension bending stress max (and location x) in the beam. - X BI ec LAB I LBCI LCDJ bil b2 bil Answers: kPa. (a)...
The cross-sectional dimensions of the beam shown in the figure are r, = 125 mm and...
The cross-sectional dimensions of the beam shown in the figure are r, = 125 mm and r, = 81 mm. Given M. = 13 kN.m, a = 316, and B = 45, what are the bending stresses at points Hand K? H/ Part 1 Find the area moment of inertia for the cross-section about the z axis. I. y Part 2 Find the y coordinates of points Hand K. mm ya mm Click if you would like to Show Work...
2. a. An edge beam with sectional dimensions is shown in Fig.3. i. Determine the location...
2. a. An edge beam with sectional dimensions is shown in Fig.3. i. Determine the location of its centriod from point 0. ii. Determine its moment of inertia in x-x direction about centriod. A y 150mm 40mm 35mm 300mm V --> X Fig. 3 2. b. Determine the mid-span deflection of a 3m long simply supported R.C. beam which is subject to a gravity UDL of 10 kN/m with a cross section as shown in Fig. 3 (E = 35kN/mm²).
The beam shown in the figure consists of a W360 79 structural steel wide-flange shape [E...
The beam shown in the figure consists of a W360 79 structural steel wide-flange shape [E = 200 GPa; 1 = 225 x 100 mm"]. For the loading shown, determine: (a) the reactions at A, B, and C. Enter a positive value for a reaction force that acts upward on the beam, or a negative value for a reaction force that acts downward. (b) the magnitude of the maximum bending stress in the beam. Enter a positive value for the...
A wooden beam is fabricated by bolting together three members. The cross-sectional dimensions are shown. The...
A wooden beam is fabricated by bolting together three members. The cross-sectional dimensions are shown. The 8-mm-diameter bolts are spaced at intervals of s = 290 mm along the x axis of the beam. If the internal shear force in the beam is V = 9.4 kN, determine the shear stress t in each bolt. Assume b1 = 49 mm, b2 = 49 mm, d1 = 104 mm, d2 = 270 mm. bib2 bi di d2 X Answer: t =...
The moment acting on the cross section of the wide-flange beam has a magnitude of M-12.6...
The moment acting on the cross section of the wide-flange beam has a magnitude of M-12.6 kN-m and is oriented as shown. Assume by-230 mm, and θ-45°. Determine: (a) the bending stress σ/r at point H. (b) the bending stress σκ atpoint K (c) the orientatin angle β of the neutral axis relative to the +z ats; show its loation on a sketch of the dross section. 11mm, t 18 mm, d -260 mm
2. The beam shown in the figure below is a wide-flange W16x31 with a cross-sectional area of 9.12 in- and a depth of 15.88 in. The second moment of area is 375 in". The beam is subjected to a uniformly distributed load of 1000 lb/ft and a point load of 500 lb. The modulus of elasticity of the beam is E = 29x106 1b/in. Determine the vertical displacement at node 3 and the rotations at nodes 2 and 3. Also,...
A beam of rectangular cross section 200 mm deep and 100 mm wide. If the beam is 3m long, simply supported at either end and carries point loads as shown in FIGURE 2 (on page 4). 2. SAN 1OAN R, FR 100mm FIG.2 (a) Calculate the maximum bending moment (b) Calculate the maximum stress in the beam (c) At the point of maximum stress sketch a graph of the stress distribution through the thickness of the beam, indicating which are...
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm. The centroid is 75 mm, h = 90 mm, t the beam are b 60 mm, h, at C and c 30 mm. At a certain section of the beam, the bending moment is M 5.4 kN m and the vertical shear force is V= 30 kN. (a) Show that the moment of inertia of the cross-section about the z axis (the neutral axis)...
6.9-4 The cross section of an unbalanced wide- flange beam is shown in the figure. Derive the fol- lowing formula for the distance e from the centerline of the web to the shear center S e- check the formula for the special cases of a Also, channel section (bi 0 and ba -b symmetric beam (bl =b2 =b/2 2-b) and a doubly Ir 2 PROBLEM 6.9-4
A wood beam supports the loads shown. The cross-sectional dimensions of the beam are shown in the second figure. Assume LAB=2.8 m, LBC=1.1 m, LCD=1.6 m, w=12 kN/m, P=6.8 kN, b1=20 mm, b2=75 mm, d1=100 mm, and dz=240 mm. Determine the magnitude of: (a) the maximum horizontal shear stress Tmax in the beam. (b) the maximum tension bending stress max (and location x) in the beam. - X BI ec LAB I LBCI LCDJ bil b2 bil Answers: kPa. (a)...
The cross-sectional dimensions of the beam shown in the figure are r, = 125 mm and r, = 81 mm. Given M. = 13 kN.m, a = 316, and B = 45, what are the bending stresses at points Hand K? H/ Part 1 Find the area moment of inertia for the cross-section about the z axis. I. y Part 2 Find the y coordinates of points Hand K. mm ya mm Click if you would like to Show Work...
2. a. An edge beam with sectional dimensions is shown in Fig.3. i. Determine the location of its centriod from point 0. ii. Determine its moment of inertia in x-x direction about centriod. A y 150mm 40mm 35mm 300mm V --> X Fig. 3 2. b. Determine the mid-span deflection of a 3m long simply supported R.C. beam which is subject to a gravity UDL of 10 kN/m with a cross section as shown in Fig. 3 (E = 35kN/mm²).
The beam shown in the figure consists of a W360 79 structural steel wide-flange shape [E = 200 GPa; 1 = 225 x 100 mm"]. For the loading shown, determine: (a) the reactions at A, B, and C. Enter a positive value for a reaction force that acts upward on the beam, or a negative value for a reaction force that acts downward. (b) the magnitude of the maximum bending stress in the beam. Enter a positive value for the...
A wooden beam is fabricated by bolting together three members. The cross-sectional dimensions are shown. The 8-mm-diameter bolts are spaced at intervals of s = 290 mm along the x axis of the beam. If the internal shear force in the beam is V = 9.4 kN, determine the shear stress t in each bolt. Assume b1 = 49 mm, b2 = 49 mm, d1 = 104 mm, d2 = 270 mm. bib2 bi di d2 X Answer: t =...
The moment acting on the cross section of the wide-flange beam has a magnitude of M-12.6 kN-m and is oriented as shown. Assume by-230 mm, and θ-45°. Determine: (a) the bending stress σ/r at point H. (b) the bending stress σκ atpoint K (c) the orientatin angle β of the neutral axis relative to the +z ats; show its loation on a sketch of the dross section. 11mm, t 18 mm, d -260 mm
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