6.10 A beam AB is simply supported at A and B over a span of 3 m. It carries loads of 50 kN and 40 kN at 0.6 m and 2 m respectively from A, together with a uniformly distributed load of 60 kN/m between the 50 kN and 40 kN concentrated loads. If the cross-section of the beam is such that I = 60 × 10-6 m² determine the value of the deflection of the beam under the 50 kN load. E = 210 GN/m². Sketch the S.F. and B.M. diagrams for the beam. [3.7 mm]

20. A CIS33.9 of A36 channel to serve as a roof edge beam with a simple span of 25 ft. The nominal loads are a uniform dead load of 0.23 kip/ft and a uniform live load of 0.69 kip/t. The beam is continuously braced. If =315 in, what is the live load deflection at the center of the beam? A) 0.534 in B) 0.766 in C) 0.664 in D) 0.693 in

3. A two-span continuous beam is to be designed using the plastic method of analysis, The first span is 5 m long and adjacent span is 3 m long. Both spans are loaded with wu = 40 kN/m. The shorter span carries concentrated load Pu = 90 kN at its center. Determine the plastic moment capacity? Pu = 90 kN 1.5 m 1.5 m wu = 40 kN/m 5m 3m

A cantilever beam having a span L of 12 m. carries a concentrated load W of 25 kN at midspan. Assume E = 200,000 MPa and Ixx = 60 x 106 mm4 25 kN 6m 6m B Which of the following gives the slope of free end. a) 0.0449 c) 0.0375 b) 0.0283 d) 0.0193 Which of the following gives the deflection at the free end. a) 375 mm c) 360 mm b) 355 mm d) 380 mm Which of the following gives the deflection at the mid span: a) 135 mm c) 150 mm b) 140 mm d) 130 mm

A 7-m simple beam is carrying a uniform load of 25 kN/m over the entire beam with two-point loads of15 kN at 1.5 m from both ends. If E = 200 Gpa and I = 0.000332 m4 , determine the following using the Double Integration Method:a.) Midspan deflectionb.) Deflection at 1.5 m from the left reaction. Show FBD

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A w12x78 bridge crane runaway girder is on a simple span of 6 m. Assume that the crane wheel imparts a vertical load of 68 kN and a lateral load of 7 kN, applied at the top flange of the girder. A standard 0.4 kN/m rail will be used. Neglect shear and deflection.Properties of W21x78d=300mmIx=191.73×10^6mm4W= 1.21 kN/mbf= 200mmly = 35.07 x10^6mm4 Questions:Determine the Bending stress about the y - axis.

A simply supported 4-m long beam is made up of 80% grade Malugai. The beam is carrying a uniform load of 10 KN/m all through out its length and a concentrated load of 500 N at the midspan. The cross-sectional area of the beam is indicated below.   What is the maximum shear of the beam in KN?  What is the maximum moment of the beam in KN.m?

3.9 A beam ABCDE, with A on the left, is 7 m long and is simply supported at B and E. The lengths of the various portions are AB = 1.5 m, BC = 1.5 m, CD = 1 m and DE = 3 m. There is a uniformly distributed load of 15 kN/m between B and a point 2 m to the right of B and concentrated loads of 20 kN act at A and D with one of 50 kN at C. (a) Draw the S.F. diagrams and hence determine the position from A at which the S.F. is zero. (b) Determine the value of the B.M. at this point. (c) Sketch the B.M. diagram approximately to scale, quoting the principal values. [3.32 m; 69.8 kN m; 0, -30, 69.1, 68.1, 0 kNm] 55

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