In this question, we ask to determine the shear forces and bending moments due to vertical loads due to the weight of th

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In This Question We Ask To Determine The Shear Forces And Bending Moments Due To Vertical Loads Due To The Weight Of Th 1 (832.21 KiB) Viewed 48 times

In this question, we ask to determine the shear forces and bending moments due to vertical loads due to the weight of the container and a green dinosaur, and horizontal loads due to wind on a horizontal beam. This beam has two sections and it is fixed to the rock at A and simply supported by a roller at F. Please consider that the beams are rigid and massless. The first section is from A to D, and the second section is from D to F. These sections are connected by a pin (hint pins can transfer normal and shear forces but not bending moments). The first section is loaded by a container with a total weight P = 2558 lb, which is uniformly distributed between the B and C. In addition, the container is pushed by a horizontal wind force Lwind = 256 lb from right to left. This wind force on the container is transmitted by frictional forces to the beam. The second section is loaded by a green dinosaur that is lifted up using a rope tied up at E. The weight of the green dinosaur is G = 1535 lb. Take a = 19 ft The material on this exam question may not be reproduced, distributed, transmitted, or used without permission. Rutgers University wind B с E F A a 4a a 2a
Part A - Beam DF Let us focus on the second section. Determine the D., Dy, and F, based on the FBD of the figure. Positive numbers in your answers indicate that the assumed directions are correct. B E А DX a 4a а 2α a G Dyl VO AQ 11 vec ? DZ- lb Submit Request Answer
Part B - Beam DF - ΟΙ ΑΣφ It vec o ? D,- lb Submit Request Answer Part C-Beam DF VE ΑΣΦ If vec ? F,- lb Submit Request Answer
Part D-Beam AD Now let us focus on the first section. Determine the Az, Ay, and MA based on the FBD of the figure. Positive numbers in your answers indicate that the assumed directions are correct. Dy MA B AX DX E F А Lwind а 4a a 2α a Ay IVO AED JE vec Az = lb Submit Request Answer
Part E - Beam AD ΟΙ ΑΣφη vec ? Ay - lb Submit Request Answer Part F- Beam AD VO| ΑΣφ If vec ? MA- lb ft Submit Request Answer
Part G-Shear Forces and Bending Moments Determine the value of the Shear Force Vit and Bending Moment Mat A+, i.e. to the RIGHT of point A. В B. C D E F A a a 4a a 2a a a POSITIVE DIRECTIONS M M Please indicate signs for ALL Shear Forces and Bending Moments based on the convention shown in the figure. 10 Au vec ? VA lb Submit Request Answer
Part H - Shear Forces and Bending Moments Please indicate your signs based on the convention shown in the figure. V AED 1 ve ? M- lb ft Submit Request Answer Part1 - Shear Forces and Bending Moments Determine the value of the Shear Force VB and Bending Moment MB at B. Values at the right and left are equal. Please indicate your signs based on the convention shown in the figure. PO AED It vec ? VB- lb Submit Request Answer Part J - Shear Forces and Bending Moments Please indicate your signs based on the convention shown in the figure. 10 AED 1 vec ? MB - = lb ft Submit Request Answer
Part K- Shear Forces and Bending Moments Determine the value of the Shear Force Vc and Bending Moment Mo at C. Values at the right and left are equal. Please indicate your signs based on the convention shown in the figure. O AED IT vec ? Vc= lb Submit Request Answer Part L - Shear Forces and Bending Moments Please indicate your signs based on the convention shown in the figure. ΟΙ ΑΣΦI If voc ? Mc = lb ft Submit Request Answer Part M - Shear Forces and Bending Moments Determine the value of the Shear Force Vp and Bending Moment Mp at D. Values at the right and left are equal. Please indicate your signs based on the convention shown in the figure. VOI ΑΣΦη νοc και ? Vp- lb Submit Request Answer
Part N - Shear Forces and Bending Moments Please indicate your signs based on the convention shown in the figure. | ΑΣΦJur vec ? Mp= lb ft Submit Request Answer Part 0 - Shear Forces and Bending Moments Determine the value of the Shear Force Ve and Bending Moment Me at E-. i.e. to the LEFT of point E. Please indicate your signs based on the convention shown in the figure. ΟΙ ΑΣΦ 11 vec ? VE lb Submit Request Answer Part P - Shear Forces and Bending Moments Please indicate your signs based on the convention shown in the figure. ΟΙ ΑΣΦη νοσ ? ME = lb ft Submit Request Answer
Part Q - Shear Forces and Bending Moments Determine the value of the Shear Force Ve and Bending Moment Mė at Et. i.e. to the RIGHT of point E. Please indicate your signs based on the convention shown in the figure. AED Ivec ? VE lb Submit Request Answer Part R - Shear Forces and Bending Moments Please indicate your signs based on the convention shown in the figure. 110 AED 1 vec ? Mg = lb ft Submit Request Answer Parts - Shear Forces and Bending Moments Determine the value of the Shear Force Vp and Bending Moment Mp at F-. i.e. to the LEFT of point F Please indicate your signs based on the convention shown in the figure. ΚΙ ΑΣΦ! vec ? VE lb Submit Request Answer
Part T-Shear Forces and Bending Moments Please indicate your signs based on the convention shown in the figure. 10 AED 1 vec ? MF lb ft Submit Request Answer
Part - Shear Force Diagram Draw the normalized Shear Force diagram using the Shear Force values you have computed in previous parts divided by G = 1535 lb. Plot these values against the relative distance 3/a, where I is measured from A and a = 19 ft. Click on "add vertical line off" to add discontinuity lines. Then click on "add segment" button to add functions between the lines. Note 1 - You should not draw an "extra" discontinuity line at the point where the curve passes the x-axis. Note 2- Be sure to indicate the correct types of the functions between the lines, e.g. if in your answer the type of a function is "linear increasing slope" for the function that actually has linear decreasing slope, the answer will be graded as incorrect. Use the button "change segment" if necessary. 20 No elements selected V/G 2.5 2.0 1.5 1.0 0.5 0.0 2/a -0.5 -1.0 -1.5