Step 1: Draw a picture of the situation and gather the information that is given and what we need to find. Step 2: Set up a differential equation to find the time, t, at which the particle reaches 0.76 radians. Step 3: Solve for time, t. Step 4: Determine the radial and theta components of velocity at this very instant. Step 5: Calculate the magnitude of the velocity. Step 6: Determine the radial and theta components of acceleration at this very instant. Step 7: Calculate the magnitude of the acceleration. ANS = velocity: 0.766m/s accel.: 2.57m/s^2
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Determine the plastic moment Mp of a steel beam of the cross section shown, assuming the steel to be elastoplastic with a yield strength of 240 MPa. Step 1: Determine the location of the neutral axis (NA). Step 2: We will divide the cross section into different areas and draw a stress diagram to determine the location of the resultant forces acting on each area. Remember, when a material is plastic that means everything has yielded. Step 3: Determine the magnitude of each force. Step 4: Determine each force's lever arm. Step 5: Calculate plastic moment. ANS = 19.01 kN-m
Water flowing from the 0.75-in.-diameter outlet shown in Video V8.15 and Fig. P3.45 rises 2.8 in. above the outlet. Determine the flowrate. Step 1: Determine our points of interest to use in Bernoulli's equation. Point 1 is the moment that the fluid exits the pipe and point 2 is the fluid at its maximum height. By setting our points this way we can make point 1 our datum and make the following assumptions: Step 2: Write out Bernoulli's equation. Step 3: Solve for the velocity at point 1. Step 4: Solve for the flow rate, Q. ANS = 0.0119 CFS
The solid shaft shown is formed of a brass for which the allowable shearing stress is 55 MPa. Neglecting the effect of stress concentrations, determine the smallest diameters dAB and dBC for which the allowable shearing stress is not exceeded. We did a video on this, click here. Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Knowing that d1=30 mm and d2=50 mm, find the average normal stress at the midsection of (a) rod AB, (b) rod BC. We did a video on this, click here. |
AuthorAs a civil engineer student, I found a hard time trying to find a one stop shop for help in all my courses. That's why I am here trying to fill in that void! Archives
January 2023
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