The beam displayed below has a breadth of 40 mm and a depth of 60 mm. The modulus of elasticity of the material is 210 GPa. Derive equations for the slope and displacement for the beam, and then determine the slope and deflection at the positions of the point loads.

The beam displayed below has a breadth of 40 mm and a depth of 60 mm. The modulus of elasticity of the material is 210 GPa. Derive equations for the slope and displacement for the beam, and then determine the slope and deflection at the positions of the point loads.

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

A simply supported beam of dimension 11.5 m x 45 mm x 75 mm. It carries a uniformly distributed load of 450 kN/m for entire span. Determine (a) Maximum stress due to bending and (b) Young's modulus of the material used for the beam, if it deflects 125 mm maximum at the mid of the span. Also find the maximum slope in the beam. Moment of inertia of the cross section of the beam in m4 = Young's modulus of the beam material in MPa is = Maximum bending stress due to bending in MPa is = The slope at the supports of beam in radians is =
A simply supported beam of dimension 12.5 m x 35 mm x 70 mm. It carries a uniformly distributed load of 450 kN/m for entire span. Determine (a) Maximum stress due to bending and (b) Young’s modulus of the material used for the beam, if it deflects 150 mm maximum at the mid of the span. Also find the maximum slope in the beam. Moment of inertia of the cross section of the beam in m4 = oung's modulus of the beam material in MPa is = Maximum bending stress due to bending in MPa is = The slope at the supports of beam in radians is =
beam, simply supported at its ends, carries a load which increases uniformly from 15kN/m at the left-hand end to 100 kN/m at the right-hand end. If the beam is 5m long, find the equation for the rate of loading and, using this, to determine the deflection of the beam at mid-span if E= 200GN/m² and I=600*10 m².
A simply supported beam of dimension 12 m x 45 mm x 65 mm. It carries a uniformly distributed load of 450 kN/m for entire span. Determine (a) Maximum stress due to bending and (b) Young's modulus of the material used for the beam, if it deflects 150 mm maximum at the mid of the span. Also find the maximum slope in the beam. (Enter only the values by referring the units given, Also upload your hand written answers in the link provided) Moment of inertia of the cross section of the beam in m4 : Young's modulus of the beam material in MPa is = Maximum bending stress due to bending in MPa is = The slope at the supports of beam in radians is
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 slope at A, (c) the slope at B, and (d) the deflection at midspan. Assume that El is constant for the beam. Let Mo = 50KN-m, L= 4.5 m, E= 180 GPa, and I = 115x 106 mm4. Mo B Answer: (b) 0A = i rad (c) Og = i rad (d) vmid = i mm
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 Cantilever beam of dimension 10 m x 45 mm x 65 mm. It carries a uniformly distributed load of 550 kN/m for entire span. Determine (a) Maximum stress due to bending and (b) Young’s modulus of the material used for the beam, if it deflects 2 m maximum at the free end of the span. Also find the maximum slope of the beam. Moment of inertia of the cross section of the beam in m4 = ______________ Young's modulus of the beam material in GPa is = ___________ Maximum bending stress due to bending in MPa is = _________ The slope at the supports of beam in radians is = ___________
A long concrete footing rests on an earth founda- tion for which the value of the foundation modulus is 5-6 MN/m2. The footing has a cross-section 200 mm wide and 200 mm deep. The footing supports a uniformly distributed load of 2 kN/m of length which ex- tends over a 3 m length. Compute the value of the maximum bending moment in the footing and the maximum bending stress. E = 14 GN/m2.
please write clearly and show all steps
Determine the value of the applied torque, M if the beam's midspan deflection is to be zero. Assume El=const. Sketch SHEAR / MOMENT / DISPLACEMENT diagrams. P = 100 lb 2 ft M w=10 lb/ft 3 ft 5 ft B
consider the beam shown in. EI is constant. assume that EI is in kip * ft2. determine the expression for the elastic curve using the coordinate x1 for 0 < x1 < 20 ft, where x1 is in feet. v1 in ft answer in terms of the variables x1, E and I. determine the expression for the elastic curve using the coordinate x2 for 0 < x2 < 10 ft where x2 is in feet. v2 in ft. answer in terms of the variables x2, E and I. specify the deflection of the beam at C. vc in ft. answer in terms of E and I. specify the slope at A, measured counterclockwise from the positive x1 axis. Theta A in rad. answer in terms of E and I.
For the beam and loading shown, use discontinuity functions to compute: (a) the deflection VA of the beam at A, and (b) the deflection Vmidspan of the beam at midspan (i.e., x = 2.45 m). Assume a constant value of El = 1270 kN-m² for the beam; M₁ = 9 kN-m, wo = 19.8 kN/m, LAB = 1.1 m, LBc = 2.7 m. MA A Answer: (a) VA = (b) Vmid i LAB i Wo B LBC mm. mm.