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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- Find the reaction at A due to the uniform loading and the applied couple. The force reaction is positive if upward, negative if downward. The moment reaction is positive if counterclockwise, negative if clockwise. 2.5 kN/m 11.1 kN-m A 2.0 m 2.0 m Answers: RA = i kN MA = i kN-mDivide 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 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-lb4. 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 mA 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 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 2The 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. A B 250 mm 100 kN 1500 mm- Answer 0= +98 MPa 250 mm 100 kN
- 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 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