1. A beam of length L = 0.5m has a triangular cross sectional geometry, b = 2 cm wide at the top, pointed at the bottom, and h = 6 cm high. The beam is held by a solid support at end A, and a distributed 22 بعاد load of q = 1000 N/m is applied to half the beam as shown below. The weight of the beam itself ca be neglected. Does this exceed the allowable stresses on the beam, if the allowable stresses are ATS = 20 MPa, ACS = 20 MPa, and ASS = 10 MPa? (Hint: To calculate the moment caused by a distributed load, you need to calculate both the resultant force FR and the position XR at which this force is applied. Make sure when you do this, that you keep only the part of the distributed load that remains after the cut!) 2. This beam has a circular cross section with radius R and has length L, and is exposed to the loads shown. Assume that R << L. The allowable stresses are ATS = ACS S, and ASS = 0.5S. What is the minimum cross- sectional radius R allowed for the beam? M₁ 3M₁ B 1000

Match the following: (i) Hysteresis loss (a) Can be redud by constructing the core with laminated sheets of alloy steel (ii) Eddy current loss (b) Can be reduced by the use of special high grades of alloy stl as core material.

Determine the GMR of each of the unconventional stranded conductors shown in Figure 4.30. All strands have the same radius r.

An ac resistance is higher than a dc resistance. True False

The permeability of a low-carbon steel is μ=2x10-4 Wb/At.m The shape of this material is a torus (looks like a doughnut), with an inner radius ri=1.75 cm and outer radius ro=2.25 cm. Calculate its reluctance.     A. 11.9 x10-4 At/Wb.   B. 21.9 x10-4 At/Wb.   C. 31.9 x10-4 At/Wb.   D. 41.9 x10-4 At/Wb

Question 1 A ferromagnetic core with a relative permeability of 1500 is shown in Figure 2. The dimensions are as shown in the diagram, and the depth of the core is 7 cm. The air gaps on the left and right sides of the core are 0.070 and 0.020 cm, respectively. Because of fringing effects, the effective area of the air gaps is 5 percent larger than their physical size. If there are 400 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A, what is a) the flux in each of the left, center, and right legs of the core? b) the flux density in each air gap? 7 cm ст ст 30 cm 30 cm 7 cm 400 turns 0.05 cm 30 cm 0.07 cm 7 cm Core depth = 7 cm Figure 2

5. A cast-iron core of the shape indicated below has the following pertinent dimensions: ab = 10 cm and bc = 15 cm. Find the mmf required if the magnetic field intensity in the thinner side is H1= 100 A-turns/m and the thicker side is H2 = 46 A-turns/m. b 2011

A ferromagnetic core in the shape of a doughnut has a cross-sectional area of 0.11 m2 and an average length of 1.4 m. The permeabil ity of the core is 1.206 × 10-3 Wb/A-t. m. Determine the reluctance of the magnetic circuit

i need the answer quickly

You have an unfair six-sided die, where the probabilities of rolling each number are asfollows:P(1) = 0.1, P(2) = 0.2, P(3) = 0.3, P(4) = 0.15, P(5) = 0.1, P(6) = 0.15Calculate the mean and variance of this die