Use the principle of virtual work to determine the vertical deflection and rotation at tip (Point B) of the cantilever shown below. (L=6847 mm, q = 5331 N/mm, M = 1408549 N.mm, and El = 8.6 x 1014 N. mm²) q Y M X A ΕΙ B L Step -1 Let the coordinates defined with origin located at B and x-axis pointing to the Left and Y-axis pointing upward. The bending moment, M (Units: N.mm), in the beam as a function of spatial coordinate x(Units: mm) can be most accurately described by Select one: 1. M=1126839.200 +2132.400*x*x 2. M=-1408549.000 - 3198.600*x*x 3. M=-1408549.000-2665.500*x*x 4. M=-1408549.000-2132.400*x*x 5. M= -1408549.000+2665.500*x*x 6. M= 1408549.000 + 2665.500*x*x 7. M= 1408549.000-2665.500*x*x

Example 11: The man shown in Figure (a) pulls on the cord with a force of 70 Ib. Represent this force action on the support A as Cartesian components and determine its direction. Find the Cartesian nroiections of the r:

3D Moment Find the moment about O if F = {11i + -13j} kN, i = 4m, j = 4m, k = 2m. Upload your work for this 3D Moment problem in the next question. Type 4 as the answer to this question. im jm km F B

A > X L Determine the function for internal resultant moment in terms of x given: L = L Wo = W M(x) = B x³ + Number For: Wo = 6 kN/m L = 3 m Find the variables a, b, c, and d for the equation in the form ax³+bx²+cx+d. Note: terms may be equal to zero M(x) = Number x² + Number Wo x + Number

4.15. Calculate I,, ly, Iy for the section of Figure P4.9 above. You can use the results from Example B.1.

calculated using a matrix determinant: Part C - Moment due to two forces i j k M =r x F =| rz ry As shown, a member is fixed at the origin, point O, and has two applied forces, F1 and F2, applied at the free end, rz F, F, F point B. (Figure 3) Notice that the order of the elements of the matrix determinant is important; switching rows 2 and 3 of the determinant would change the sign of the moment from positive to negative (or vice versa.) The forces are given by F1 = 115 Ni- 110 Nj+ 55 N k and F2 has magnitude 195 N and direction angles a = 143.0°, B= 57.0°, and y= 75.2°. The dimensions are x1 = 1.30 m, y1 = 1.85 m, and z1 = 1.10 m. What is the moment about the origin due to the applied forces? Figure 3 of 3 Express the individual components of the Cartesian vector to three significant figures, separated by commas. • View Available Hint(s) vec ? Mo =[ i, j, k] N. m Submit В < Return to Assignment Provide Feedback

a = 4 mb = 3.2 mc = 2 mF = {-7i+4j+12k} NSpecified axis: AF Find the following: Find the z-component of the moment of F about the specified axis. Find the x-component of the moment of F about the specified axis. Find the magnitude of the moment of F about the specified axis. Find the y-component of the moment of F about the specified axis.

Ip Given: Plate's radius: r_P= 80mm Hole's radius: r h= 22mm Plate's constant density p = 8950 kg/ m Plate's thickness: t= 1cm Find: The moment of inertia about an axis passing through point P

Required information 2 of 3 Consider the given vectors. Given: Á = (4î – 3ĵ + 2k ) lb and (-14 – 2ý + 5k) in. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. ook int int ences Determine the components of A parallel and perpendicular to B The component of A parallel to B is Ib. The component of A perpendicular to B is lb.

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