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- A seesaw weighing 3 lb/ft of length is occupied by two children, each weighing 90 lb (see figure). The center of gravity of each child is 8 ft from the fulcrum. The board is 19 ft long, 8 in. wide, and 1.5 in. thick. What is the maximum bending stress in the board?A frame ABC is loaded at point C by a force P acting at an angle öf to the horizontal (see figure). Both members of the frame have the same length and the same flexural rigidity. Determine the angle a so that the deflection of point C is in the same direction as the load. (Disregard the effects of axial deformations and consider only the effects of bending due to the load P.) Note: A direction of loading such that the resulting deflection is in the same direction as the load is called a principal direction. For a given load on a planar structure, there are two principal directions that are perpendicular to each other.A steel riser pipe hangs from a drill rig located offshore in deep water (see figure). (a) What is the greatest length (meters) it can have without breaking if the pipe is suspended in the air and the ultimate strength (or breaking strength) is 550 MPa? (b) If the same riser pipe hangs from a drill rig at sea, what is the greatest length? (Obtain the weight densities of steel and sea water from Table M, Appendix I. Neglect the effect of buoyant foam casings on the pipe.)
- Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.700N M-150UNm 2m 3m For the above dlagram, given that F, - 450 N. 0-45 degrees and d-5 m calculate the following (neglect the depth of the beam). Note that there is a pin support at A and a roller support at B. The magnitude of the horizontal component of the reaction force at A, Rar. Please provide the answer in Newtons and report to three significant figures. Please Include the unit ("N") within your answer (eg. If the calculated answer was 55.562 Newtons please Input: 55.6 N). Answer: The magnitude of the vertical component of the reaction force at A, Rar. Please provide the answer in Newtons and report to three significant figures. Please include the unit ("N") within your answer (eg. If the calculated answer was 55.562 Newtons please Input: 55.6 N). Answer: The magnitude of the horizontal component of the reaction force at B. Re. Please provide the answer in Newtons and report to three significant figures. Please Include the unit ("N") within your answer (eg. If the calculated…MA MB= Mc= MD= Required information For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. V=50 lbf/in and V2 = 7 in. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Hinge = 1400 lbf/ A BI AC R₂ R₁ 4 in 4 in 2 in V1 Determine the values of the moments at points A, B, C, and D. lbf.in lbf.in lbf.in Ibf.in V2 D R₂
- A bar of length 5 m is subjected to an axial tensile out of 100 KN The bar is 25 min diameter for 2 mof its length 30 mm diameter for I mor its length, and 20 mm diameter for the remaining 2 m of its length, Taking E= 2 x 10' Calculate the total increase in length of the bur.The Flexor loading micrometer will be used to load the beam. Calculate the deflection required to bend the beam to the desired strain. Deflection in a cantilever beam b inches wide by t inches thick is: 4PL3 y = Ebt3 %3D (4) where: y= deflection (in), P= force, lbs, L= distance from clamp to loading micrometer (10.0 in), E = Young's modulus for aluminum (10.4E6 psi). %3D %3D Stress at the rosette is given by: Mc/ = 6Px (5) %3D bt2 where: x= the distance from the loading micrometer to the rosette centerline (9.0 in), and P, b and t are as defined above. Using equations (4) and (5) above, determine the deflection required to impose a 15 Kpsi stress in the beam at the gage rosette centerline. What force will be applied by the loading micrometer at 15Kpsi? Do your work in the space below.You are required to size member FI of the truss shown at right using Western lumber with the following properties:• Yield stress in compression: 2100 psi• Yield stress in tension: 1300 psi• Modulus of elasticity 1700 ksi.Use a factor of safety of 2.0. For the selected section:c. Calculate the stress and the strain in member FId. Calculate the deflection of member FI; specify if elongation or shortening.
- estion 5 at yet swered A rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P that causes the point C to displace downward by 0.6 mm. Given: E (wire B) = 70 Gpa, E (wire C) = 200 Gpa and both wires have a diameter D = 2 mm. Consider a linear elastic behavior. arked out of L00 Flag estion 1.5 m 2 m 3 m 2 m 2 m Select one: O P= 287 N OP- 537 N OP-573 N P-430 N OP-597 NA round bar is loaded in both torsion and bending with rd=0.15 and Dd=1.5 with the geometry shown on the left. Your boss has proposed changing the design to the geometry on the right to make the bar stronger and stiffer. Determine if this is a good idea. Assume r, D, dwould all remain the same. 1. Amard tarisdetisboth oan and bongwth te=015 a Ata 1.5 wn the prinetry sow on the let Vur oeshas egronery on the ghe1o moke me bor aronger and se. Derermine i isa geod idea AameAer. D, dwld a ronair Te sameFor the following structure, represent Mohr's Circle at point K of the structure and pointSection P, demonstrating the following steps:Calculation of shear stress. - what would be the value of V in the formula to calculate the shear stress.T=VxQ/Ixt ?