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- Problem 1: Use the Virtual Method to determine the displacement of point C and slope of point D of the beam made from steel. I = 245 in4.Express your answer in inches. Problem 2:Use the Castigliano’s theorem to determine the displacement of point C and slope of point D of the beam made from steel. I = 245 in4.Express your answer in inches.Determine the volume formed by revolving the semi-parabolic area shownabout the:a.) x –axis;b.) y –axis.What is the total area?What is the total first moment with respect to x-axis?What is the total first moment with respect to y-axis? determine the centroid of the area as shown measured form y-axis determine the centroid of the area as shown measured form x-axis
- For the built-up section shown, determine the following: 1. Centroid of the Area, 2. Moment of Inertia, Īx and Īy 3. Section Modulus, Sx and Sy Note: the x and y-axes in the figure is to be used as reference lines, and do not necessarily represent the global x and y-axes of the section.For the section shown in the figure below: (a) Determine the coordinates of the centroid with respect to point “O”. (b) Find the second moment of area of the section about “x” axis (Ix).for figure A= 5lb; 45 degrees for figure B= 9lb; 90 degrees for figure C= 6lb; 150 degrees
- Solve for the area in two different ways.SOLVE AREA METHOD. NOT BY FORMULA METHOD THEN PLOT IT AND GET THE COORDINATE PER 1 SECOND. a) Determine the acceleration per one second.b) Determine the velocity per one second if the initial velocity is V1 m/s.c) Determine the displacement per one second if the initial displacement is S1 m7.) Determine the x-component of vector AD 8.) Determine the y-component of vector AD 9.) Determine the z-component of vector AD 10.) Determine the are of the quadrilateral formed by vectors AB and AD. 11.) Determine the area of the quadrilateral formed by vectors AB and AC. 12.) Determine the area of the quadrilateral formed by vectors AD and AC. 13.) Determine the volume of the parallelepiped formed by the three vectors.
- In case #2, from what point is the 2.5 in the equation? is it from the fixed to the point P? or Point P to the free end?The velocity along a stream line passing through the origin is given by: V = 2sqrt(x ^ 2 + y ^ 2) . What is the velocity and acceleration at (4, 3)?determine the slope at B in degrees using any Geometric Method. Consider 250 mm x 400 (b x h) mm section and E = 100,000 MPa. Enter the absolute value only and round-off your answer to 3 decimal places.