The strut on the utility pole supports the cable having a weight of 600 lb. Determine the absolute maximum bending stress in the strut if A, B, and C are assumed to be pinned. Hint: Construct the moment diagram of the strut. In the context of this problem, the strut is the horizontal member. 1.5 ft A 4 ft 2 in. -2 ft- 47 B 600 lb 14 in.
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- Determine the reaction forces R1 and R2 and show the shear and bending moment diagram. Data: Point load (left-most) = 90.126 N Uniformly distributed load (80mm to 260mm) = 0.14444 N/mm Uniformly distributed load (160mm to 180mm) = 6.5 N/mmDivide the plane frame structure shown in the image into suitable parts for analytical examination and draw the free-body diagrams of the parts. Additionally, determine the shear force and bending moment diagrams of the structure. F = 10 kN and a = 2 m. There is a roller support on the left edge and a fixed support at the bottom.The compound beam is supported by a roller at point C, fixed at point A, and the two sections are pinned at point B. It is subjected to a free couple moment M, a distributed load with maximum load intensity w, and a concentrated force F. If the distributed load w = 0.6 kN/m, the concentrated force F = 0.6 kN, and the free couple moment M = 0.8, determine the magnitude of the support reaction (in kN) at pin B. Answer must include 2 places after the decimal point.
- 4. Determine the force at roller B if a 15 mm gap resulted from a construction error. Compare the maximum moment in the beam to the case if no gap existed. The steel beam is a W250x32.7 16 kN/m B 15 mm 4 m 6 m-4 ft- 5 ft R 4 ft A B (6,0,4) ft Given that the force in cable AB has a magnitude of TAB = 8 lbs and the unit vector in the direction of TAB is UAB=0.4361 -0.873j -0.218k. What is the moment reaction at the fixed support C? C and A have the same y-component. -65.5i -45.8j +52.4k ft-lb -52.41 -36.6j +41.9k ft-lb +52.4i +36.6j -41.9k ft-lb +65.5i +45.8j-52.4k ft-lb +34.91 +24.4j -27.9k ft-lb -34.91 -24.4j +27.9k ft-lbThe bent bar is supported by smooth journal bearings at A, B and C and is subjected to couple moment of 200 N.m. Determine the support reaction at each of the smooth journal bearings. 200 N.m /0.4 m/ B 0.7 m 0.6 m Figure 2
- The axle of the freight train is subjected to loadings as shown below. The diameter of the axle is 137.5 mm. If it is supported by two journal bearings at C and D, determine the maximum bending stress. Include a FBD, SFD and BMD using either the section or graphical method. Draw a cross-section of the shaft and indicate the points of maximum tension and compression. A B 250 mm 100 kN 1500 mm- Answer 0= +98 MPa 250 mm 100 kNA certain type of piping system uses deformable rings to clamp pipes onto fittings. A crimping tool that is used to make these connections is shown here. Find the internal forces and bending moment in the lower jaw at section s-s, located midway between pins B and E, when a force of F = 63 lb is applied to the handles as shown. Be sure to follow the sign conventions for internal loadings when entering your answers. 2013 Michael Swanbom CC crimp ring BY NC SA a b с d h₁ h₂ ● stat b -d- F Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 1.96 in 7 in 1.29 in 14.3 in 5 in 9 in HINT: The assume the ring has no friction The internal axial load at section s-s in the lower jaw is A = The internal shear load at section s-s in the lower jaw is V = The internal bending moment at section s-s in the lower jaw is M = ولا IF lb. lb. in-lb.The column shown is fabricated from two C250 x 30 standard steel shapes (see Appendix B for its cross-sectional properties) that are oriented back-to-back with a gap of 33 mm between the two channels. The column is fixed at its base and free to translate in the y direction at its upper end. Translation in the z direction, however, is restrained at its upper end. A load P is applied at an offset distance of 430 mm from the channel flanges. Use the AISC equations given in Section 16.5, and assume that L = 4.1 m, s = 33 mm, E = 200 GPa, oy = 275 MPa, and (Gallow); = 145 MPa. Offset - distance e P Lateral bracing in z direction C250 x 30 L C250 x 30 Cross section.
- The beam is made up of four boards, and is subjected to a moment of M=200 kip in, calculate the resultant force on the top board C. 1 in. 1 in. M-200 kip.in 13 in T in. 8 in 1 in.The axle of the freight train is subjected to loadings as shown below. The diameter of the axle is 137.5 mm. If it is supported by two journal bearings at C and D, determine the maximum bending Stress. Include a FBD, SFD and BMD using either the section or graphical method. Draw a cross-section of the shaft and indicate the points of maximum tension and compression.Provide the correct exponents and distances to make the singularity function given valid for the beam shown. VI = 8 kN, V2 = 8 kN, V3 = 200 mm, and V4 = 1100 mm. Determine the reaction forces at the supports. A v3 V37 (m) o The singularity functions are q = R1(x)ª – v1( – P)ª – v2(x – Q)ª + R2(x – R)ª - 2 - V = R1 – v1(x – D)B – v2(x – E)B + R2(x – F)® (1) M = R1x – v1(x – G)° – v2(x – H)° + R2(x – (2) From the given singularity functions, the exponents are A = B = C= The distances are P= mm Q = mm R= mm D= mm E= mm F= mm G= mm H= mm mm Reactions force R = kN and reaction force R2 = kN