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- (Civil eng.) The maximum load that can be placed at the end of a symmetrical wooden beam, such as the rectangular beam shown in Figure 2.20, can be calculated as the following: L=S1dc L is the maximum weight in lbs of the load placed on the beam. S is the stress in lbs/in2. I is the beam’s rectangular moment of inertia in units of in4. d is the distance in inches that the load is placed from the fixed end of the beam (the “moment arm”). c is one-half the height in inches of the symmetrical beam. For a 2” × 4” wooden beam, the rectangular moment of inertia is given by this formula: I=baseheight3=12=24312=10.674 c=(4in)=2in a. Using this information, design, write, compile, and run a C++ program that computes the maximum load in lbs that can be placed at the end of an 8-foot 24 wooden beam so that the stress on the fixed end is 3000lb/in2. b. Use the program developed in Exercise 9a to determine the maximum load in lbs that can be placed at the end of a 3” × 6” wooden beam so that the stress on the fixed end is 3000lb/in2.(Practice) You’re given the task of wiring and installing lights in your attic. Determine a set of subtasks to accomplish this task. (Hint: The first subtask is determining the placement of light fixtures.)(Civil eng.) Modify the program written for Exercise 9 to determine the maximum load that can be placed at the end of an 8-foot I-beam, shown in Figure 2.21, so that the stress on the fixed end is 20,000lbs/in2. Use the fact that this beam’s rectangular moment of inertia is 21.4 in4 and the value of c is 3 in.
- (Electrical eng.) a. Write, compile, and run a C++ program that calculates and displays the value of the current flowing through an RC circuit (see Figure 3.19). The circuit consists of a battery connected in a series to a switch, a resistor, and a capacitor. When the switch is closed, the current, i, flowing through the circuit is given by this formula: i=(EIR)et/RC Eisthevoltageofthebatteryinvolts.Risthevalueoftheresistorinohms.Cisthevalueofthecapacitorinfarads.tisthetimeinsecondsaftertheswitchisclosed.eisEulersnumber,whichis2.71828( roundedtofivedecimalplaces). Using this formula, write, compile, and run a C++ program to determine the voltage across the capacitor shown in Figure 3.19 when t is 0.31 seconds. (Note: The value of RC is referred to as the system’s time constant.) The program should prompt the user to enter appropriate values and use input statements to accept the data. In constructing the prompts, use statements such as “Enter the voltage of the battery.” Verify your program’s operation by calculating by hand the current for the following test data: Testdataset1:Voltage=20volts,R=10ohms,RC=0.044,t=0.023secondsTestdataset2:Voltage=35volts,R=10ohms,RC=0.16,t=0.067seconds b. Check the value computed by your program by hand. After verifying that your program is working correctly, use it to complete the following chart:A problem-solving procedure that requires executing one or more comparison and branch instructions is called a(n) __________.(Mechanics) The deflection at any point along the centerline of a cantilevered beam, such as the one used for a balcony (see Figure 5.15), when a load is distributed evenly along the beam is given by this formula: d=wx224EI(x2+6l24lx) d is the deflection at location x (ft). xisthedistancefromthesecuredend( ft).wistheweightplacedattheendofthebeam( lbs/ft).listhebeamlength( ft). Eisthemodulesofelasticity( lbs/f t 2 ).Iisthesecondmomentofinertia( f t 4 ). For the beam shown in Figure 5.15, the second moment of inertia is determined as follows: l=bh312 b is the beam’s base. h is the beam’s height. Using these formulas, write, compile, and run a C++ program that determines and displays a table of the deflection for a cantilevered pine beam at half-foot increments along its length, using the following data: w=200lbs/ftl=3ftE=187.2106lb/ft2b=.2fth=.3ft
