The bending moment M of a beam of length / at a distance x from one end is given by M = Wx(1-x)/2, where W is the load per unit length. Find the maximum bending moment. An alternating current is given by i = 2cos(50nt - 0.4) amperes, where t is time in seconds. Determine the minimum value of the current and the time when this minimum first occurs.

The bending moment M of a beam of length / at a distance x from one end is given by M = Wx(1-x)/2, where W is the load per unit length. Find the maximum bending moment. An alternating current is given by i = 2cos(50nt - 0.4) amperes, where t is time in seconds. Determine the minimum value of the current and the time when this minimum first occurs.

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

N for Newton, m for meter, mm for millimeter, N/(mm^2) for Stress, mm^2 or m^2 for Area, mm^4 for Moment of inertia and Nm for bending moment. Use brackets if the power is MINUS for Example: 0.00125 N =1.25*10^(-3)N. A beam has a bending moment of 3 kN-m applied to a section with a hollow circular cross-section of external diameter 3.4 cm and internal diameter 2.4 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.6 cm from the neutral axis Solution: (i) The moment of inertia = ii) The radius of curvature is (iii) The maximum bending stress is iv) The bending stress at the point 0.6 cm from the neutral axis is
Find expressions for shear force V andmoment M at x = x0 of beam AB in terms of peakload intensity q0 and beam length variable L.Let x0 = 2L/3.
Consider that the section is transmitting a positive bending moment about the z axis,Mz, where Mz=10 kip*in if the dimensions of the section are given in ips units, or Mz=1.13kN*m if the dimensions are in SI units. Determine the resulting stresses at the top and bottom surfaces and at every abrupt change in the cross section. Find the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces.
Draw the Shear Force Diagram (SFD) and Bending Moment Diagram (BMD) for a loaded simply supported beam shown below. 1KN 4KN
Please show that the Helix curve (threaded spring) r (t) = (cost, sin t, t) is constant.Is it the same as the curvature radius of the curve XY level projection (= unit circle)?
For a loaded cantilever beam of uniform cross section, the bending moment along the length is M(x) = 5x2 + 10x, where x is the distance in mm measured from the free end of the beam. What is the magnitude of shear force in the cross section at x = 10 mm.
Determine the displacement of point B on the beam shown in Figure. EI is constant.
The beam weight is 5kN considered as a distributed load over the beam length. Two bushwalkers with 850N weight each are standing together at one end of the beam/bridge. Determine the maximum shear force and bending moment in the simply supported beam shown below.
A solid steel shaft 4.5 m long is stressed at 75 MPa when twisted through 4.5°. What power can be transmitted by the shaft at 25 Hz? Use G = 83 GPa.
Draw the diagrams of shear (V), the felctor moment (M) in the structure shown below
Determine the equations that allow estimating the shear (V) and the bending moment (M) in the structure.
An I-beam has a flange width b = 400 mm , height hℎ = 400 mm , web thickness tw = 13 mm , and flange thickness tf = 21 mm . Use the following steps to calculate the shear flow at the point shown, where x = 55 mm . A) The formula for the shear flow includes the moment of inertia of the whole cross section, I, about the neutral axis. Calculate the moment of inertia. B) The shear flow at the point depends on the value of Q for the portion of the upper flange to the right of the point. Calculate the value of Q C) Use the results from Parts A and B to calculate the shear flow at the point in the upper flange 55 mm to the right of the web if the shear force on the section is V = 4.6 kN