Determine the ultimate load Pu and plot the moment diagram at ultimate load in terms of Mp for the following structures: k P P W = WL = 1.5P * 4.5 1.5 1.5 1.5
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- In Figure Q5(e), a statically determinate pin-jointed plane truss is pinned at A and supported on rollers at B. It carries two loads of 5000kg at joints F and G. (i) c) Prove that the plane truss is a statically determinate structure. (ii) Using the method of joint determine all member forces. Using the method of section, determine the member forces of CD and FG. (iii) L= 5m for each member.The structure of a beam with single supports is subjected to a moment MA at the pinned end A, an inclined load FB applied at point B, and a uniformly distributed load with intensity q1 on the segment BC. Find the support reactions at joints A and C, then calculate the internal forces at the midpoint of BC. MA= 380 N.m FB = 200 N q1= 160N/m a= 3 m b= 2mRigid AD rod in the figure, at points A and C with two vertical elastic bars articulated at the ends vertical from point D to P intensity while standing horizontal the force is affected. Elongation stiffness of ela stic bars EA and their length is L. According to this, a) The forcesthat will occurin the elastic bars, b) the displacement of the D point of the rigid bar, c) Calculate the support reaction at point B. EA,L A B D. EA.L rijit Fa + a 2a-
- Choose at least 3 methods and solve for the support reactions of the beam shown. Draw the shear and moment diagram. Given Values: Note that El is constant. L= 1.35 meters P1= 635 Newtons P2= 735 Newtons W1= 453.5 Newtons W2= 907 Newtons W2 W2 B. C 21 21 1.5L 1.5L 219 Consider the plane truss with load Pas shown in the figure. Let the horizontal and vertical reactions at the joint B be Hg and V, respectively and Vc be vertical reaction at the joint C. 2 exhoM S SLO 60° - II B A 60° D L 60° F 60° KLA G P с Which one of the following sets gives the correct values of VB, HB and V? (a) VB = 0; HB = 0; Vc = P (b) VB P/2; HB = 0; Vc = P/2 (c) VB = P/2; HB = P (sin60°); Vc = P/2 (d) VB = P; HB = P (cos(60°); Vc = 0 [2016For the continouus beam loaded as shown in figure. Assume El is constant. Using the method of moment distribution. a. (20%) Comute the end moments over the spports b. (10%) Compute the reactions at gthe supports c. (10%) Draw the shear and bending-moment diagrams for the beam. d. (10%) What is the maximum negative and positive moments?. P = 180 kN P = 90 kN w =10 kN/m A D 4m 3m 4m 8 m 6m
- Force F acts at polnt C on the bent plpe OABC. 5.60 ft 3.20 ft 40° F=(-4.6i - aj + 4.3k) kips 3.20 ft Determine the magnitudes of the moments of Fabout the following locations In ft - kips. (AB Is parallel to the x-axis.) (a) plpe segment AB ft · kips (b) plpe segment OA ft · kips (c) line OD ft· kipsP (kN) d (mm) t (mm) www 85 80 25 The beam in Figure Q2(a) has a cross-section as shown in Figure Q2(b), where the values of P, d and t are given in Table Q2. (a) Determine reactions, RA and Rg. (b) Determine the shear force at section AB and bending moment at point B. (c) Determine the neutral axis and moment of inertia of the cross section of the beam (d) Det hine the maximum tensile and compressive bending stress the beam at point B. (Formula: omax =). Then, plot the bending stress distribution. (e) Determine the maximum shear stress of at section AB. (Formula: T =). P (kN) t (m d (mm) 1.6 m 0.8 m d (mm) t (mm) t(mm) (a) Figure Q2A frame formed by joining a bent beam ACD with a bar BC by a hinge is supported at A and B as shown in Figure. A vertical load P = 150 N is applied at point D. For each member, determine: (a) The components of support reactions at A and B. (b) The axial force, shear force, and bending moment acting on the cross section at point O. P = 150 N 0.8 m or 0.5 m -0.15 m 0.1 m
- Consider the plane truss with load P as shown in the figure. Let the horizontal and vertical reactions at the joint B be Hg and Vg respectively and Vc be the vertical reaction at the joint C. A 60° 60 F 60° 60° Which one of the following sets gives the correct values of VR, Hg and Vc? (a) VB = 0; H, = 0; Vc = P (b) VB = P/2; H3 = 0; Vc = P/2 (c) V = P/2; H = P (sin 60°); V. = P/2 (d) V = P; H = P (cos 60°); V. = 0 %3D %3D %3D %3D %3D C %3D %3D %3D %3D %3DPROBLEM 1 For the figure shown, determine the reactions at A and D, the tension forces AB, BC and CD and the sag at B. +³² + 8² +²² YB. B 6k sk10m beam is loaded with point load P1 = 100N at 2m from the fixed end support. A distributed load (W1) was also imposed with a magnitude of 100 N/m as shown. The beam is supported by a pin and a roller at locations specified in the free body diagram. what are the reactions in A and B at what distance will the shear be equal to ZERO between A and B what the computed maximum positive bending moment? Note: counterclockwise moment on the righthand side of the beam element be positive