Q7 / A beam AB of span 10m is simply supported at it's ends. It carries point loads of 4KN & 8KN at 4m & 6m from left hand support respectively. It also carries uniformly distributed loads of (W) KN/m for the right end. If left end reaction is 20KN . Find (W ) & right end reaction?
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- A fixed-end beam AB of a length L is subjected to a uniform load of intensity q acting over the middle region of the beam (sec figure). Obtain a formula for the fixed-end moments MAand MBin terms of the load q, the length L, and the length h of the loaded part of the beam. Plot a graph of the fixed-end moment MAversus the length b of the loaded part of the beam. For convenience, plot the graph in the following nondimensional form: MAqL2/l2versusbL with the ratio b/L varying between its extreme values of 0 and 1. (c) For the special case in which ù = h = L/3, draw the shear-force and bending-moment diagrams for the beam, labeling all critical ordinates.Cantilever beam AB carries an upward uniform load of intensity q1from x = 0 to L/2 (see Fig. a) and a downward uniform load of intensity q from x = L/2 to L. Find q1in terms of q if the resulting moment at A is zero. Draw V and M diagrams for the case of both q and qtas applied loadings. Repeat part (a) for the case of an upward triangularly distributed load with peak intensity q0(see Fig. b). For part (b), find q0, instead of q1-4-4 A cantilever beam is supported at B by cable BC. The beam carries a uniform load q = 200 N/M. If the length of the beam is L = 3 m, find the force in the cable and the reactions at A. Ignore the axial flexibility of the cable.
- A cantilever beam is free of support at point A and is clamped at the point B, as showr in the Figure Q4 below. Calculate the support reaction force and moment for the non- uniformly distributed load, where w = 64 N/m and L =6 m. The downward directior is denoted as positive direction in force and the anti-clockwise direction is defined as positve in moment. For all numerical answers, answer to within 3 decimal places. w A B. y Figure Q4: A cantilever beam under non-uniformly distributed load (a) The support reaction force at point B, be careful of the sign. R = (N) (b) The support reaction moment at point B, be careful of the sign. (N*m)Q5 / A simply supported beam AB of span 7m, carries three point load of 2KN, 6KN & 4KN at 2m, 4m & 6m from left hand support (A). If self weight of the beam is (1 KN/m). Find the reactions at the two supports?Compute reactions at support for overhanging beam as shown in figure. Then, draw SFD and BMD using semi graphical method.
- B/ Calculate the reactions at the support in the cantilever beam shown in Fig. below. The beam has a fixed support at A which prevents translation in any direction and also rotation. (point D in the middle between B and C) 10 kN 15 kN RA 5 kN RAV 04m 06 mIn Figure Q3a, a beam is supported at A and C with a uniformly distributed load of20 kN/m between A and B. Draw and label the shear force diagram (SFD) andbending moment diagram (BMD) for the beam shown in Figure Q3a. Label thevalues for shear force and bending moment at points A, B, C & at the beam midpoint M; the maximum bending moment and its distance from A; and clearlyindicate the type of bending between AB and between BCa beam is supported by a pin support at A and a roller support at B. For this question, leave your answer in terms of the variables w and L. (a) Using equilibrium of the full beam, find the support forces at A and B. (b) First section: Make an arbitrary cut between points A and B. Take the distance of the cut to be x along the beam from point A. Draw the free-body diagram for the left section and find functions for the internal shear force, V(x), and bending moment, M(x), in the section of the beam between A and B. (c) Second section: Repeat part (b) for the section of the beam between B and C. Take x to still be the distance from point A. (f) Find the value of x at which V(x) = 0. The internal bending moment reaches a maximum at the same point as V(x) = 0. Find the maximum bending mo- ment. pin Sketch the shear and bending moment diagrams. B L W C roller
- Learning Goal: To determine the support reactions in a statically indeterminate beam using the moment- area method. Part A - Support reaction force at B The beam shown has length L = 15.0 ft and is loaded with the applied moment M = 210 kip - ft at B. Assume EI is constant. (Figure 1) Using the moment-area method, determine the magnitude of the unknown support reaction at B due to the applied moment. Express your answer to three significant figures and include appropriate units. > View Available Hint(s) ? |By| = |10.5 kip Submit Previous AnswersA propped cantilever beam of a length L isloaded by a concentrated moment M0 at midpoint C.Use the second-order differential equation of thedeflection curve to solve for reactions at A and B.Draw shear-force and bending-moment diagramsfor the entire beam. Also find the equations of thedeflection curves for both halves of the beam, anddraw the deflection curve for the entire beam.In the figure given below load and moment effects from the mid point of the fixed beam from both sides. Find the displacement and reaction forces.