Determine the longitudinal stiffness of the bar shown below:
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- Assume that each member has a cross-sectional area of A = 1.25 in.2 and an elastic modulus of E = 10,000 ksi. The loads acting on the truss are P = 21 kips and Q = 7 kips. Determine the horizontal displacement of joint A.4. The cable will fail when subjected to a tension of 8000 N. Determine the largest vertical load P the frame will support and compute theresultant internal loadings at the cross section through point C. Answer: P = 2133.33 N, Mc = 1600 Nm, Nc = 8000 N, Vc = 2133.33 N 0.1 m 0.5 m C 0.75 m- -0.75 m- -0.75 m-The simply supported joist is used in the construction of a floor for a building. In order to keep the floor low with respect to the sill beams C and D, the ends of the joists are notched as shown. If the allowable shear stress is tallow = 350 psi and the allowable bending stress is sallow = 1500 psi, determine the height h that will cause the beam to reach both allowable stresses at the same time. Also, what load P causes this to happen? Neglect the stressconcentration at the notch.
- The two steel shafts (1) and (2) each Ø10 should be connected to each other with the help of the sleeve (3) (Øinner = 10, Øoutside = 15) also made of steel and two rivets at the points shown. The shaft (1) is firmly clamped on the left- hand side, the force F = 100 N acts on shaft 2 in the direction of the arrow. How are the brass round rivets to be dimensioned so that a safety of the coupling against failure of S = 10 is achieved? hole for rivets 1 F 3 a) What type of connection does a riveted connection have? b) What type of load does the rivet have? c) What is the diameter of the rivets? d) Which areas of the rivet are loaded? (Draw in figure and formula) e) Dimension the rivetTwo wooden members are glued together as shown in the figure. Each member has a width of b = 1.25 in. and a depth of d = 3.45 in. Use ß = 82 °. Determine the average shear stress magnitude in the glue joint if P = 1080 lb. Part 1 Use the notion of symmetry and construct an FBD for only the upper half of the left-hand wood piece. What is the magnitude of the portion of Load P acting on this upper half? Pupper = eTextbook and Media Save for Later Part 2 V = Based on the FBD for the upper half of the left-hand wood piece, determine the shear force in the glue joint. eTextbook and Media Save for Later Part 3 lb lb A₁ = Determine the area of the upper half of the glue joint. in.² Attempts: 0 of 5 used Submit Answer Attempts: 0 of 5 used Submit AnswerThe landing gear of a light airplane is displayed by the figure. What is the compressive stress in strut AB caused by the landing reaction R = 57 kN? Neglect the weights of the members. The strut is a hollow tube, with 69-mm outer diameter and 43-mm inner diameter. 400- 600 Dimensions in mm
- 3. The steel pipe AB has a 72 mm outer diameter and a 5 mm wall thickness. Link CDE is rigidly attached to the pipe. Point K is at the top of the pipe, at 150 mm from point D. Neglect the stress concentrations. Material is Hot Rolled Steel, with E = 207 x 10° Pa, G = 79 × 10° Pa, Sy = 200 MPa, Su = 414 MPa. The force at E is steady, with FE = 9 kN (down). The force at C is steady, with Fc = 3 kN (up). Section Properties for bar OD: IOD = 594 × 10³ mm = 594 × 10-9 m*; JoD = 1188 × 10³ mm4 = 1188 × 10-9 mª; %3D Section for bar DE: IDE 50 × 10-9 mª Determine the principal stresses at point K using Mohr circle. A 3 kN K 120 mm 9 kN 150 mm E 120 mmEight steel cables (with equal distance to each other) are supporting a circular heavy moulding of diameter 3m from an overhead point. If the moulding weighs 5 kN/m and the attachment point is 4m above it, determine the following:a. Calculate the tension of the cable.b. Determine the diameter of the wire if the allowable stress is 125 MPa.c. If the diameter of the cable is 10 mm, find the deflection of the steel cable.d. If the diameter of the cable is 10 mm, find the vertical displacement of the molder.4 m B 4m 8 0.4 m AB X-Section 0.2 mIO (a) Determine to that results in the gap (8) being closed. (b) If w=628 kN/m, determine the internal force in member BC? BC X-Section For the bar shown above, a uniformly distributed axial load wo (force per unit length) is applied between A and B. The diameter of the cross sections AB and BC are also indicated. The material properties of the bar are: E= 20 GPa and 0.3. If the gap 61 mm, then answer the following questions (you can take a 3.14):
- Three wood boards, each 4 inches wide, are joined by the 4-inch diameter bolt. If the working stresses for wood are 800 psi (pounds per square inch) in tension , find the value of the force P (Ibs) that maybe applied to the joint. I in. 2 in. 1 in. - Fin.5. The three bars are pinned together and subjected to the load P. If each bar has a cross-sectional area A, length L, and is made from an elastic perfectly plastic material, for which the yield stress is oy, determine the largest load (ultimate load) that can be supported by the bars, i.e., the load P that causes all the bars to yield. Also, what is the horizontal displacement of point A when the load reaches its ultimate value? The modulus of elasticity is E.5. The three bars are pinned together and subjected to the load P. If each bar has a cross-sectional area A, length L, and is made from an elastic perfectly plastic material, for which the yield stress is oy, determine the largest load (ultimate load) that can be supported by the bars, i.e., the load P that causes all the bars to yield. Also, what is the horizontal displacement of point A when the load reaches its ultimate value? The modulus of elasticity is E. C L.