SITUATION: A simply supported beam 4m long, carries a 300 N/m load its first half of the span only. Use E = 10x103 MPa and midspan deflection is limited to 1/360 of the span. Determine the following: maximum allowable deflection at the midspan, Ymid = mm (2 decimals, absolute value) El deflection at midspan of the described beam, El Ymid = N-m3 (2 decimals, absolute value) x106 4 required least moment of inertia in order not to exceed the allowable deflection, I = mm² (one decimal only, absolute value)

SITUATION: A simply supported beam 4m long, carries a 300 N/m load its first half of the span only. Use E = 10x103 MPa and midspan deflection is limited to 1/360 of the span. Determine the following: maximum allowable deflection at the midspan, Ymid = mm (2 decimals, absolute value) El deflection at midspan of the described beam, El Ymid = N-m3 (2 decimals, absolute value) x106 4 required least moment of inertia in order not to exceed the allowable deflection, I = mm² (one decimal only, absolute value)

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 x 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 = 6 kips/ft, wcD = 5.0 kips/ft, LAB = 6.5 ft, Lsc = 6.5 ft, LcD = 9.5 ft, LDE = 4 ft. wo WCD B |C D E LAB LBC LCD LDE Answer: rad (a) OE = 0.036 in. (b) vc = 0.432
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
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.
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The simply supported beam consists of a W14 x 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 = 14 kips/ft, wCD = 2.5 kips/ft, LAB = 8.0 ft, LBc = 8.0 ft, LCD = 11.0 ft, LDE = 4 ft. wo WCD B C D. E LAB LBC LCD LDE Answer: (a) Oɛ = rad (b) vc = in.
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