A propped cantilever beam of length 2L with a support at B is loaded by a uniformly distributed load with intensity q. R₂ = MA MA = A RA 9 B 000 RB Ⓡ Use the method of superposition to solve for all reactions. (The beam has constant flexural rigidity EI. Use the statics sign convention. Use the following as necessary: q and L.) RA = C Also draw shear-force and bending-moment diagrams, labeling all critical ordinates, including maximum and minimum values. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen

A propped cantilever beam of length 2L with a support at B is loaded by a uniformly distributed load with intensity q. R₂ = MA MA = A RA 9 B 000 RB Ⓡ Use the method of superposition to solve for all reactions. (The beam has constant flexural rigidity EI. Use the statics sign convention. Use the following as necessary: q and L.) RA = C Also draw shear-force and bending-moment diagrams, labeling all critical ordinates, including maximum and minimum values. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A propped cantilever beam AB of a length L carries a concentrated load P acting at the position shown in the figure. B/ ΜΑ RA RB L Determine the reactions RA, RB, and MA for this beam. (Solve by the method of superposition. The beam has constant flexural rigidity EI. Assume that the +x-axis is to the right, the +y-axis is up along the page, and the +z-axis is out of the page. Use the statics sign convention. Use the following as necessary: L, a, b, and P.) RA = RB = MA = Also, draw the shear-force and bending-moment diagrams, labeling all critical ordinates, including maximum and minimum values. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen ●●●
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Determine all the reactions at the support of the three-span continuous beam shown in the figure. Take flexural rigidity EI as constant. Horizontal Reaction at fixed support A, Ax, is zero. Draw the shear force and bending moment diagrams. Using the Method of Consistent Deformations. Solve the moment reaction at A (MA in kN-m), vertical reaction at A (Ay), B (By), C (Cy), D (Dy) (in kN)
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for the beam and loading shown (a)use discontinnuity functions to write the expression for w(x). include the beam reactions in this expression. (B) intergrate w(x) twice to determine v(x) and m(x). (C) Use v(x) and m(x) to plot the shear- force and bending- moment diagrams.
A propped cantilever beam AB of a length L carries a concentrated load P acting at the position shown in the figure. MA RA RB Determine the reactions R,, Re, and M, for this beam. (Solve by the method of superposition. The beam has constant flexural rigidity EI. Assume that the +x-axis is to the right, the +y-axis is up along the page, and the +z-axis is out of the page. Use the statics sign convention. Use the following as necessary: L, a, b, and P.) L R, = R3 = M. = Also, draw the shear-force and bending-moment diagrams, labeling all critical ordinates, including maximum and minimum values. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen
Flexibility Method: Beams and Frames with more than one redundant, and a Truss with one redundant. Solve the following 3 problems: Problem 1: Given: The following beam has fixed supports at A and B, and has a constant EI. W Required: Evaluate the two vertical reactions (Ay and By) and the two moment reactions (MA and MB). Neglect Ax and Bx. Draw the Shear Diagram Draw the Moment Diagram Sketch the deflected shape Hint: In this problem, it looks like it is indeterminate to the third degree, but let's neglect axial effects. By neglecting axial effects, we are not considering the horizontal force equilibrium equation (i.e., we neglect sum of fores in the x-direction). Thus, we neglect the two horizontal reactions (Ax and Bx). Therefore, the problem simplifies as follows: We are left with 2 equilibrium equations (i.e., sum of forces in the y-direction and sum of moments). So, you have 2 equations and 4 unknowns: Ay, MA, By, and MB. Thus, we need to come up with 2 more equations..these are…
Question: Determine the internal loading in the hook shown below at the point R, 8. A free body diagram of the hook's end is provided. The hook may be analysed as a 2 dimensional body. Given: R = 0.2 m 0 = 30 deg F-3 KN 1) Find the normal force N. 2) Find the shear force V. 3) Find the bending moment M. N
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.
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Please solve using 3 kip instead of 2 kip for the downward force 2 kip at P a 60° 1 kip The end of a cantilever I beam supports forces from three cables. a) If P = 0, determine the resultant force applied by the two cables to the I beam and report your result using polar vector representation. b) Repeat Part (a) if P = 1.5 kip and ? = 30?. c) With ? = 30?, what value of P will produce a resultant force that is horizontal? d) If the resultant force is to be horizontal and Pis to be as small as possible, determine the value ? should have and the corresponding value of P.
A cantilever beam is free of support at point A and is clamped at the point B, as shown in the Figure Q4 below. Calculate the support reaction force and moment for the non-uniformly distributed load, where w =74 N/m and L = 6 m. The downward direction 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. A v y -L- Figure Q4: A cantilever beam under non-uniformly distributed load