Answered: 6. for the cantilever beam show in fig…

6. for the cantilever beam show in fig „determine the rotation at point B using unite load method * 60kN チ A 5m E=70 GPa I-600*10^6

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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The simply supported beam consists of a W14 × 34 structural steel wide-flange shape [E = 29,000 ksi; I = 340 in.4]. For the loading shown, use discontinuity functions to compute (a) the slope of the beam at E and (b) the deflection of the beam at C. Assume w0 = 11 kips/ft, wCD = 5.0 kips/ft, LAB = 7.5 ft, LBC = 7.5 ft, LCD = 11.0 ft, LDE = 4 ft.
The cantilever beam shown is subjected to a concentrated load of P. The cross-sectional dimensions of the wide-flange shape are also shown, where bf = 7.00 in., d = 12.5 in., tf = 0.475 in., tw = 0.250 in.(a) Compute the value of Q that is associated with point K, which is located yk = 3.0 in. above the centroid of the wide-flange shape.(b) If the allowable shear stress for the wide-flange shape is τallow= 12 ksi, determine the maximum concentrated load P than can be applied to the cantilever beam. Calculate the cross-sectional area of the top flange (1), the bottom flange (2), and the web (3).Answers:A1 = in.2.,A2 = in.2.,A3 = in.2. Part 2 Determine the location of the y direction centroids of the top flange (1), the bottom flange (2), and the web (3), with respect to the bottom of the cross-section.Answers:y1 = in.,y2 = in.,y3 = in. Part 3 Determine the centroid location in the y direction for the cross-section…
The simply supported beam consists of a W14 x 34 structural steel wide-flange shape [E = 29,000 ksi; / = 340 in.4]. For the loading shown, use discontinuity functions to compute (a) the slope of the beam at E and (b) the deflection of the beam at C. Assume wo = 7 kips/ft, wcD = 2.5 kips/ft, LAB = 5.5 ft. LBC = 5.5 ft, Lcp = 6.5 ft, LDE = 3 ft. Wo WCD X A Answer: (a) 0E = (b) vc= B LAB LBC C rad in. LCD D LDE E
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The simply supported beam consists of a W14 × 34 structural steel wide-flange shape [E = 29,000 ksi; I = 340 in.4]. For the loading shown, use discontinuity functions to compute (a) the slope of the beam at E and (b) the deflection of the beam at C. Assume w0 = 6 kips/ft, wCD = 2.0 kips/ft, LAB = 7.5 ft, LBC = 7.5 ft, LCD = 9.0 ft, LDE = 4 ft.
Determine the horizontal deflection at joint C of the truss by virtual work method. Use E = 10,000 Ksi. A = 5 in² L1 = 4 ft, L2 = 5 ft, L3= 12 ft, P = 26 K, A L1 B __ L2 → P L3 K
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The simply supported beam consists of a W14 x 34 structural steel wide-flange shape [E = 29,000 ksi; / = 340 in.“]. For the loading shown, use discontinuity functions to compute (a) the slope of the beam at E and (b) the deflection of the beam at C. Assume wo = 5 kips/ft, wcD = 2.5 kips/ft, LAB = 5.5 ft, LBC = 5.5 ft, LCD = 7.0 ft, LpDE = 3 ft. wo WCD D LAB LBC LCD LDE Answer: (a) Og = rad (b) vc = in.
The cantilever beam shown is subjected to a concentrated load of P. The cross-sectional dimensions of the wide-flange shape are also shown, where b = 6.50 in., h = 15.0 in., ty = 0.550 in., t₂ = 0.325 in. (a) Compute the value of Q that is associated with point K, which is located d = 4.0 in. above the centroid of the wide-flange shape. (b) If the allowable shear stress for the wide-flange shape is Tallow = 13 ksi, determine the maximum concentrated load P than can be applied to the cantilever beam. b 4 Answer: Omay= the tolerance is +/-3% in.3. 9 Answer: Pmax=1 (1) (2) kips. (3) The maximum value of Q for the cross-section is at the z centroidal axis. Break the calculation into two parts. First, consider only the portion of the web between the z centroidal axis and the bottom of the top flange, and calculate Q₁ for this portion of the cross-section. Then, consider only the top flange, and calculate Q₂ for this portion of the cross-section. The value of Qmax is then the sum of Q₁ and…
The simply supported beam consists of a W14 × 34 structural steel wide-flange shape [E = 29,000 ksi; I = 340 in.^4]. For the loading shown, use discontinuity functions to compute (a) the slope of the beam at E and (b) the deflection of the beam at C. Assume Wo = 13 kips/ft, WCD = 5.5 kips/ft, LAB = 5.0 ft, LBC = 5.0 ft, LCD = 6.5 ft, LDE = 3 ft.
The simply supported beam consists of a W14 x 34 structural steel wide-flange shape [E = 29,000 ksi; / = 340 in.4]. For the loading shown, use discontinuity functions to compute (a) the slope of the beam at E and (b) the deflection of the beam at C. Assume wo = 14 kips/ft, WCD= 6.0 kips/ft, LAB = 7.5 ft, LBc = 7.5 ft. LcD = 9.0 ft, LDE = 4 ft. Answer: (a) DEGREE OF ROTATION E = (b) vc = in