Beam Problem The beam is hinged supported at point ’a’ and supported by

Beam Problem The beam is hinged supported at point ’a’ and supported by the bar at point ’c’. The cross section is presented in Fig.b. The load is a concentrated moment M at point ’b’ and the load intensity q between points ’c’ and ’d’. Both the bar and the beam are made of the same material of the Young modulus E. 1. Determine the minimum diameter D of the bar ’ce’ assuming the plastic limit Re and safety factor ns. 2. Find the translation of point ’d’. 3. Draw the plots of the shear forces T and bending moment M along the beam. 4. Calculate the maximum stress in the beam.

Problem The beam is hinged supported at point ’a’ and supported by the bar at

Problem The beam is hinged supported at point ’a’ and supported by the bar at point ’c’. The cross section is presented in Fig.b. The load is a concentrated moment M at point ’b’ and the load intensity q between points ’c’ and ’d’. Both the bar and the beam are made of the same material of the Young modulus E. 1. Determine the reactions at point ’a’ and the force N in the bar. 2. Determine the minimum diameter D of the bar ’ce’ assuming the plastic limit Re and safety factor ns. 3. Find the translation of point ’d’. 4. Determine the location of the center of gravity of the cross section shown in Fig. 1b. 5. Calculate the moment of inertia according to the central axis yc. 6. Draw the plots of the shear forces T and bending moment M along the beam. 7. Calculate the maximum stress in the beam. When solving points 1-3 treat the beam ’ad’ as a rigid body.

ProblemThe beam is hinged supported at point ’a’ and supported by the bar at poi

ProblemThe beam is hinged supported at point ’a’ and supported by the bar at point ’c’. The cross section is presented in Fig.b. The load is a concentrated moment M at point ’b’ and the load intensity q between points ’c’ and ’d’. Both the bar and the beam are made of the same material of the Young modulus E. Determine the reactions at point ’a’ and the force N in the bar. Determine the minimum diameter D of the bar ’ce’ assuming the plastic limit Re and safety factor ns. Find the translation of point ’d’. Determine the location of the center of gravity of the cross section shown in Fig. 1b. Calculate the moment of inertia according to the central axis yc. Draw the plots of the shear forces T and bending moment M along the beam. Calculate the maximum stress in the beam. When solving points 1-3 treat the beam ’ad’ as a rigid body.

Problem The beam is hinged supported at point ’a’ and supported by the bar at

Problem The beam is hinged supported at point ’a’ and supported by the bar at point ’c’. The cross section is presented in Fig.b. The load is a concentrated moment M at point ’b’ and the load intensity q between points ’c’ and ’d’. Both the bar and the beam are made of the same material of the Young modulus E. 1. Determine the reactions at point ’a’ and the force N in the bar. 2. Determine the minimum diameter D of the bar ’ce’ assuming the plastic limit Re and safety factor ns. 3. Find the translation of point ’d’. 4. Determine the location of the center of gravity of the cross section shown in Fig. 1b. 5. Calculate the moment of inertia according to the central axis yc. 6. Draw the plots of the shear forces T and bending moment M along the beam. 7. Calculate the maximum stress in the beam.

A contractor plans to use four tractors to work on a project in a remote area. T

A contractor plans to use four tractors to work on a project in a remote area. Theprobability of a tractor functioning for a year without a break-down is known to be80 %. If X denotes the number of tractors operating at the end of a year, determine theprobability mass and distribution functions of X.

1. [40] (a) What is the reflection loss of a 0.001-in thick copper shield to a 1

1. [40] (a) What is the reflection loss of a 0.001-in thick copper shield to a 1000-Hz plane wave? (b) If the thickness is increased to 0.01 in, what is the reflection loss?2. [40] (a) Calculate the skin depth and absorption loss for a brass shield 0.062 in thick at the following frequencies: a. 0.1 kHz, b. 1 kHz, c. 10 kHz, and d. 100 kHz? (b) Calculate the shielding effectiveness of a 0.015-in-thick copper shield located 1 in from the source of a 10-kHz magnetic field.3. [80] A large microprocessor draws a total transient current of 10 A from a 3.3-V supply. The logic has a rise/fall time of 1 ns. It is desirable to limit the Vcc-to-ground noise voltage peaks to 250 mV, and each decoupling capacitor has 5 nH of inductance in series with it. The decoupling will be done with a multiplicity of equal value capacitors, and should be effective at all frequencies above 20 MHz. (a) Draw a plot of the target impedance versus frequency. (b) What is the minimum number of decoupling capacitors required? (c) What is the minimum value for each of the individual decoupling capacitors? (d) Could larger value capacitors be used just as effectively?

The structure shown in Figure1is a combination of threeframes ABC, CDEFG, and NO

The structure shown in Figure1is a combination of threeframes ABC, CDEFG, and NOPQR, as wellasa simple trussGHIJKLMN.The truss is connected to the two frames with hinges atGandN. Thesupport at A is a fixed support, the support at E is a roller,and that atQis a pin support. The structureis subjected to: a)auniformlydistributedhorizontalload actingoverABCDwith intensity20kN/m(kN/horizontalmeter);b) a parabolic distributed load with the maximum intensity of 60 kN/m actingon the member PQ; c)twohorizontal concentrated loads30KN acting at Eand L;d)verticalconcentrated loads of 20kN,40kN,15kNand5kN, acting atI, K,O,andR, respectively;and finallye) acounter clockwisecouple of 50kN.m acting at B

2. [40](a) Calculate the skin depth and absorption loss for a brass shield 0.062

2. [40](a) Calculate the skin depth and absorption loss for a brass shield 0.062 in thick at the following frequencies: a. 0.1 kHz, b. 1 kHz, c. 10 kHz, and d. 100 kHz?(b) Calculate the shielding effectiveness of a 0.015-in-thick copper shield located 1 in from the source of a 10-kHz magnetic field.

The structure shown in Figure 1 is a combination of three frames ABC, CDEFG, and

The structure shown in Figure 1 is a combination of three frames ABC, CDEFG, and NOPQR, as wellas a simple truss GHIJKLMN. The truss is connected to the two frames with hinges at G and N. Thesupport at A is a fixed support, the support at E is a roller, and that at Q is a pin support. The structureis subjected to: a) a uniformly distributed horizontal load acting over ABCD with intensity 20kN/m(kN/horizontal meter); b) a parabolic distributed load with the maximum intensity of 60 kN/m actingon the member PQ; c) two horizontal concentrated loads 30KN acting at E and L; d) verticalconcentrated loads of 20kN, 40kN, 15kN and 5kN, acting at I, K, O, and R, respectively; and finallye) a counter clockwise couple of 50kN.m acting at B.

Consider a network with end to end window flow control applied to each virtual c

Consider a network with end to end window flow control applied to each virtual circuit Assume that the data link control operates perfectly and that packets are never thrown away inside the network. Thus packets always arrive at the destination in the order sent, and all packets eventually arrive. a) Suppose that the destination sends permits in packets returning to the source, if no return packet is available for some time out period, a special permit packet is sent back to the source. These permits consist of the number modulo m of the next packet awaited by the destination. What is the restriction on the window size w in terms of the modulus and why? b) Suppose next that the permits contain the number modulo m of each of the packets in the order received since the last acknowledgement was sent. Does this change your answer to part (a)? Explain. c) Is it permissible for the source to change the window size w without prior agreement from the destination? Explain. d) How can the destination reduce the effective window size below the window size used by the source without prior agreement from the source? (By effective window size we mean the maximum number of packets for the source – destination pair that can be in the network at one time.)

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