Answered: 5.13 The velocity v of a falling…

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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Consider a uniform beam of 2m long simply supported at both ends, the bending momentis given by the following relation ?′′(?) = ?(?)/?, where y(x) is the deflection, M is thebending moment and E is the flexeural rigidity. Calculate the bending moment at each gridpoint including the two end points assuming that the deflection distribution is among thefollowingx (in m) 0 0.2 0.4 0.6 0.8 1y(x) (incm)0.0 7.78 10.68 8.37 3.97 0Assume ? = 1.2 × 107??2Estimate the values of bending moment M(0.27)
Learning Goal: To use the principle of superposition to relate external axial loads on a bar to axial deflections. Under certain conditions, the effect of complicated loads can be calculated by combining the effects of simple component loads. This is called the principle of superposition. This method can only be used when the internal axial force N in a body is linearly related to the displacement or external loading, and the deflections are small enough that the body's geometry does not change significantly. If a complicated load can be expressed as a linear combination of the simpler loads, then the stress or displacement at a point will be the same linear combination of the corresponding responses in the simpler loads. Figure B A 1 of 2 1 KN deflection at point A is deflection at point A is flexibility factor.) Part A Larger load A horizontal bar is attached to a wall. When a force of 1 kN is applied at point A (Figure 1), the AA = 0.47 mm. When a 1 kN force is applied at point B…
For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=4.50 m, b=5.00 m, c= 2.75 m, P = 33kN and M = 195kN-m. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. 1.Calculate the reaction forces Ay and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) (in kN) 2.Determine the shear force acting at each of the following locations: (in kN)(a) x = 4.50- (i.e., just to the left of point B)(b) x = 4.50+ (i.e., just to the right of point B)(c) x = 9.50- (i.e., just to the left of point C)(d) x = 9.50+ (i.e., just to the right of point C)Note that x = 0 at support A. 3. Determine the bending-moment…
value: x=4.4 d=20.8
Please do not round off in all computations and box all final answers Conduct the following using either Double Integration Method, Moment Area Method, or Conjugate Beam Method Let El be constant. Given that from Point A, x = 3.16 m. What is the value of El(y)? Given that from Point A, x = 8.43 m. What is the value of El (y')? Given that from Point A, x = 6.41 m. What is the value of El(y)? Given that from Point A, x = 5.70 m. What is the value of El (y')? 35 KN 60 KN/m 37 KN/m 3.60 m 6.74 m 1.59 m B
take note: please use virtual work method or unit load method (mechanics of deformable bodies)
For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=2.250 m, b=6.50 m, PA = 60kN, and PC = 70kN. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise.
In the frame shown below, what is the value of horizontal reaction force component at C? (note: enter your numeric answer only. No need to enter units. Give your answer to two decimal places) and negative for left. Horizontal force component at C, Cx = N 2000 N B. 3 m 2 m 2 m 60°
Q:Use load method Let the solution hypothesis be on the left side Example: Determine the deflection at free end of cantilever shown in Fig. below. Take, E = 200 10 MPa and 1= 500 10 mm* 12KN/m B. 10 m
Use the GENERAL FORMULA OF THE THREE MOMENT EQUATION to solve the questions. Show full and clean solutions. 1. Sketch shear force diagram 2. Sketch the bending moment diagram 3. Determine the deflection at B
Answer the following and write on a clean paper written then box your final answer.
rd Determine the slope at point C of the beam in the figure below. Assume the material's modulus of elasticity is 200 GPa, the beam's moment of inertia = 360x106 mm4. 20 kN D 3 m 3 m 6 m II !!

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5.13 The velocity v of a falling parachutist is given by gm (1 - e-(c/m)t)