A beam of constant cross-section is loaded as shown in the figure. If the modulus of elasticity of the beam is E 200GPa, calculate the location of the maximum deflection, the maximum deflection and the deflection at the overhanging end using a. Double Integration Method Problem 3 (5+ D) kN |(2+8) (2+8) m (1+B)m 20mm mm (200+ CD)mm (5+ B) m (200 + BC) mm (20 + D) kN/m Note: A-3 B-2 C-8 D-4

Use DOUBLE INTEGRATION METHOD to Determine the following: A central beam BD is joined at hinges to two cantilever beams AB and DE. All beams have the cross-section shown. For the loading shown, determine the largest w so that the deflection at C does not exceed 3mm. Use E=200 GPa. 12 mm C E Hinge' `Hinge 24 mm 0.4 m 0.4 m 0.4 m 0.4 m

For the beam shown in the figure below, determine the reaction at point C using the singularity functions. Also, determine the most economical W-shape for the beam if the maximum allowable deflection at B is 6 mm (refer to the properties of the rolled-steel - W shape provided). The beam's modulus of elasticity is 200 GPa. The distance 'a' is 3 metre, distance 'b' is 2.5 metre, and the distance 'c' is 3.5 metre. The distributed load, w, is 30 N/m. The load, P is 200 N. P W H A C B W-shape cross-section a b

For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at B and (b) the deflection of the beam at C. Assume a constant value of El = 37 x 106 lb-ft² for the beam; wo = 7400 lb/ft, LAB = 7.0 ft, Lgc = 15 ft, Lcp = 8 ft. Wo LBC LCD LAB Answer: (a) 0g = (b) vc= B rad in.

Calculate for the moment of inertia for the beam shown below so that the maximum deflection will not exceed 1/360 of the beam length. E=200GPaA. USE MOMENT-AREA METHODB. USE Conjugate Beam Method

From the given beam shown. Determine the deflection at the free end. Use Double Integration. Let P-23 kip, L-18 ft. 3200 in?, E 29000Ksi %3D Note: 1. Indicate the negative sign. 2. Answer in 4 decimal places 3.. for FBD (properly labeled) (answer should be correct too) 4. . for the solution P. L.

For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at B and (b) the deflection of the beam at C. Assume a constant value of El = 27 x 106 lb-ft² for the beam; w₁ = 6200 lb/ft, LAB = 7.0 ft, Lgc = 15 ft. Lcd = 8 ft. Wo X LBC LCD LAB Answer: (a) 0g = (b) vc= B rad in. D

What is the safe weight per linear meter lenght of the beams if displacement at E is limited at 8mm. Given is in the image.

Determine the deflection and slope at the center of the beam shown in the figure below. Use: E-200 GPa. I:- 200 x10 mm6 and the moment area method 20 kN 3 m A B 8 kN-m 6 m 6 m

For the structure shown below, the vertical deflection at point A is given by 3L AT El EI 3L EI 3L –