2- Find the total change in length of the beam shown : A=200mm2 E2 = E3 = 150 GN/m² %3D 50 kN 30 kN 40 kN 1 3. Ali Al E, = 200 GN/m2 2 m 3 m 3 m
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- .10 A built-up bourn supporting a condominium balcony is made up of a structural T (one half of a W 200 x 31.3) for the top flange and web and two angles (2 L 2 / b / 6.4. long legal back-lo-backl lot the bottom flange and web. as shown. The beam is subjected to a bending moment .1/ having its vector at an angle ft lo the z axis (see figure). Determine the or ion ta I ion of the neutral axis and calculate the maximum tensile stress ir, and maximum compressive stress tr. in ".he beam. .Assume that 9 = 30°andM = 15 kN · m. Use the numerical properties: c =4.111mm, c2 =4.169 mm, of = 134 mm, I, = 76 mm, A = 4144 mm 3 =3.88 X 106 mm 4, and = 34.18 X 10 mm 4.For the simply supported beam carrying the concentrated load P = 276 N at its midspan, determine the magnitude of the maximum slope angle of the beam (in degrees) if d = 2.16 m, E = 12.77 GPa , and I =1681393mm4. NOTE: PLEASE ANSWER IT CORRECTLY. IF YOU ARE NOT SURE ABOUT THE ANSWER, PLEASE SKIP THE QUESTIONPLEASE BOX THE FINAL ANSWER(S)THANK YOU!In a 2.5 cantilevered I-beam, 2500 kg weight is applied at 0.75 meter from the free end. If the allowable stress in beam is 120 Mpa, determine the section modulus and The base and height of the beam if the base is 75% of its height mm.
- A beam is subjected to equal 19.1 kip-ft bending moments. Assume ty = t2 = ty= 1 in., d = 10 in, by= 4 in., and b2 = 7 in. The cross- sectional dimensions of the beam are illustrated. Determine; (a) the distance y to the centroid (measured from the bottom), the moment of inertia & about the z axis, and the controlling section modulus S, about the z axis. (b) the bending stress O, at point H (positive if tension, negative if compression). (c) the bending stress y at point K (positive if tension, negative if compression). (d) the maximum bending stress, Omax produced in the cross section (positive if tension, negative if compression).For the beam with the cross-section shown, given that: V= 100 N b= 20 cm h=20 cm The max shear stress equals:determine the deflection at B in mm using Conjugate Beam Method. Consider 150 mm x 200 (b x h) mm section and E=80 GPa. Enter the absolute value only and round off your answer to 3 decimal places Answer asap. I rate
- A beam is subjected to equal bending moments of Mz = 44 kip·ft. The cross-sectional dimensions are b1 = 6.5 in., d1 = 1.5 in., b2 = 0.90 in., d2 = 6.2 in., b3 = 2.6 in., and d3 = 1.8 in. Determine:(a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis.(b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative.(c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative.(d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative.Two elastic beams with equal bending rigidity of EI are connected by a pin at B. The beam is fixed at A and a roller support is attached at C. Beam BC is subjected to a uniformly distributed load of magnitude w=1 N/m. If the bending rigidity EI is 108Nmm2, determine a) the lateral deflection at B, b) the rotational angle at B, c) the rotational angle at C. d) sketch the deformed shapeA beam is subjected to equal bending moments of Mz = 57 kip·ft. The cross-sectional dimensions are b1 = 8.3 in., d1 = 1.4 in., b2 = 0.90 in., d2 = 6.2 in., b3 = 2.4 in., and d3 = 1.7 in. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative.
- The beam is made of elastic perfectly plastic material for which sY = 345 MPa. Determine the maximum elastic moment and the plastic moment that can be applied to the cross section.A simply supported beam of span 3.0 m has a cross-section 120 mm × 180 mm. If the permissible stress in the material of the beam is 10 N/mm^2, determine maximum udl it can carry.A beam having a tee-shaped cross section is subjected to equal 13 kN-m bending moments, as shown. Assume bf = 95 mm, tf = 25 mm, d = 165 mm, tw = 40 mm. The cross-sectional dimensions of the beam are also shown. Determine(a) the centroid location (measured upward from the bottom), the moment of inertia about the z axis, and the controlling section modulus about the z axis.(b) the bending stress at point H (positive if tensile and negative if compressive).(c) the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section.