6.2 Derive the expression for the maximum deflection of a simply supported beam of negligible weight carrying a point load at its mid-span position. The distance between the supports is L, the second moment of area of the cross-section is I and the modulus of elasticity of the beam material is E. The maximum deflection of such a simply supported beam of length 3 m is 4.3 mm when carrying a load of 200 kN at its mid-span position. What would be the deflection at the free end of a cantilever of the same material, length and cross-section if it carries a load of 100 kN at a point 1.3 m from the free end? [13.4 mm]

6.2 Derive the expression for the maximum deflection of a simply supported beam of negligible weight carrying a point load at its mid-span position. The distance between the supports is L, the second moment of area of the cross-section is I and the modulus of elasticity of the beam material is E. The maximum deflection of such a simply supported beam of length 3 m is 4.3 mm when carrying a load of 200 kN at its mid-span position. What would be the deflection at the free end of a cantilever of the same material, length and cross-section if it carries a load of 100 kN at a point 1.3 m from the free end? [13.4 mm]

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the location of the maximum deflection, and (c) the maximum beam deflection. Assume that El is constant for the beam. Let w = 14 kN/m, L = 5.0 m, E = 190 GPa, and I = 105 x 106 mm4. Wo B L Answer: (Б) х %3 m (c) Vmax = mm
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the maximum deflection, and (c) the slope at A. Assume that El is constant for the beam. Let w = 12 kN/m, L = 3.5 m, E= 210 GPa, and I = 110 x 10° mmt. L. Answer: (b) vmax i mm (c) OA = i rad eTextbook and Media
A fixed beam AB, 5 m long, is carrying a point load at its centre. The moment of inertia of the beam is 60 x 106 mm4 and modulus of elasticity for beam material is 2.2 x 105 N/mm2. End moments are taken to be 40 kN-m. The load at the centre is
Don't Use Chat GPT Will Upvote And Give Handwritten Solution Please
(a) For the beam and loading shown in Figure 2.1 given that a uniform distributed load, w=2.8 kN/m and a concentrated load, x = 6.1 kN. The Young Modulus, E = 205 GPa. Determine: i. The equation of the elastic curve for the beam ACB. ii. The deflection at the midspan of C. iii. The slope at A. x kN w kN/m B 1.8 m 1.8 m 0.9 m 0.9 m Figure 2.1 A beam with a loading
A horizontal beam AE, 12 m long and it carries a uniformly distributed load of 3.8 kN/m over the full span and a point load of 4 kN at the left-hand end A. The beam is simply supported at B, 2 m from A center of the beam. 2.1 Draw the shear force and bending moments diagrams for the beam and 2.2 Determine the position of the Contraflexure points. 6 kN 4 kN 4 kN 8 kN/m A 1 m 4 m 1 m 1 m Rp= kN Re kN X-
For the beam and loading shown, integrate the load distribution to determine (a) the equation of the elastic curve, (b) the deflection at the left end of the beam, and (c) the support reactions By and MB. Assume that EI is constant for the beam. Let w0 = 6 kN/m, L = 4.5 m, E = 210 GPa, and I = 140 x 106 mm4.
A beam of circular cross-section has a length of 5m and is simply supported at its ends. It is required to carry a total load of 57 kN uniformly distributed over the whole length. If the maximum bending stress is not to exceed 13 MPa and the maximum deflection is limited to 4 cm, the diameter of shaft in mm is given by : (take E= 18 GPa.)