B-Spline Curve

Answer the following questions for a nonperiodic B-spline curve of order 3 defined by the control points P0,P1,P2,P3. a- What are the knot values? b- How many different curves is the B-spline curve composed of? c- Expand the B-spline curve equation to get the separate equations of the curves in b.

Midpoint of a Bezier Curve and Arc

Determine the Bezier curve of order 3 that approximates a quarter circle centered at (0,0), (1,0), (0,1). a) Calculate the coordinate of the middle point on the Bezier curve and on the arc and compare them (I have already calculated the midpoint of the arc which is 0.5, 0.5 and the Bezier curve is supposed to be about the same but need help finding that midpoint using the Bezier equation. See attached file for the equation of a Bezier curve). b) Plot both curves (Excel is preferred)

Shear force and bending moments

The beam shown below is simply supported at its ends A an E. It carries a load (8 kN/M) that is uniformly distributed over part of the beam together with two concentrated loads (10kN/M & 12kN/M): Using convenient scales, construct the shear force and bending moment diagrams for the beam and determine: (a) The magnitude and direction of the maximum shear force. (b) The magnitude and direction of the maximum bending moment. (see attachment for diagram)

Multiple Choice Questions

65) A 40,000 lb rocket is launched from sea level straight up, then falls back to earth. The total flight time was 160 seconds. The rocket reached its apex in 1 minute and 20 seconds. What altitude did the rocket reach before falling back to earth? A) More than 25 miles. B) Between 15 and 25 miles. C) Less than 5 miles. D) None of the above. 16) The pressure of a sample of gas at a constant temperature of 25 degrees C is increased from 1.0 atm to 1.2 atm. If the original volume was 3.8 liters, what will the new volume be? A) 3.8 liters. B) 4.56 liters. C) 3.2 liters. D) None of the above. 42) The assembly operation takes two minutes for an operator to perform in a manufacturing... click for more

Shear force and bending

The beam shown below is simply supported at its ends A and E. It carries a load that is uniformly distributed over part of the beam together with two concentrated loads: Using convenient scales, construct the Shear Force and Bending Moment diagrams for the beam and determine: (a) The magnitude and direction of the maximum shear force. (b) The magnitude and direction of the maximum bending moment Please show workings for all answers and using correct signs show diagrams with answers ie. +/-. --- (See attached file for full problem description with diagram)