Answered: Compute for the vertical deflection of…

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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Similar questions

Using Castigliano's theorem, solve step by step the given frame.
Use virtual load method to determine the slope and deflection at point D of the beam. E= 70GPa and I=1000(10^6). EI is constant.
A non-uniformly distributed load is carry by a 12 ft cantilever beam. What is the value of the kips maximum deflection and maximum slope of the beam if E = 30000- and in? != 8200 in*. Use Double Integration Method. 30 kips / ft 20 kips / ft A 12 ft E l is constant
The beam in Figure 1 has a symmetric cross-section with E = 200 GPa and 1= 17.5×10° mm*: • derive the algebraic expression for the deflection as a function of x = the distance from the left support (A). Use this to calculate the slope at the right end, and the maximum deflection in the beam and its location. 20 kN/m 75kN.m v(x) = j z j dv/dx at right end = Vmax Figure 1 location (i.e. x value) of Vmax =
2. use the conjugate beam method to determine the slopes at ends A and D and the deflections at point B and C of the beam. 180 kN 270 kN B 3 m 21 E = constant = 200 GPa I = 420x 10 mm 3 m 3 m
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QUESTION I-TRUSS [40] For the truss shown below, determine the horizontal deflection of joint B by using the virtual work method. AE is constant. Take E = 200 GPa and A = 1200 mm². 2.5m 2.5m 10 KN 2.5 m 5.0 m 2.5 m 151 5.0 m Fig. 1
For the given simply supported beam AB, determine the: a) the slope at point A b) draw the deflected shape of the beam AB. EI is constant.
The force of a beam structure is shown in the figure below. Try to calculate the vertical displacement of point C and the rotation angle of point B. The EI of the entire structural section is constant.
Consider the truss shown in (Figure 1). Assume the members are pin connected at their end points. TakeA = 130 mm2, and E= 200 GPa for each member. Use the method of virtual work to solve this problem. Determine the horizontal displacement of joint D measured leftward. 8 kN 3 m 3 m 4 m C B
Solve the problem by the moment-area method. The beam has constant flexural rigidity EI. A simple beam AB supports two concentrated loads P at the positions shown in the figure. B C 4. 4 A support C at the midpoint of the beam is positioned at distance d below the beam before the loads are applied. Assuming that d = 12 mm, L = 5.4 m, E = 200 GPa, and I = 193 x 10° mm, calculate the magnitude of the loads P (in kN) so that the beam just touches the support at C. 163.87 x kN
BP1: A cantilevered beam of constant EI and length L has a rectangular distributed load q over its length. Use integration method to find deflection. Begin at M(x) and proceed to y(x). A)Solve the deflection of the free end left to right B)Solve again but right to left

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Compute for the vertical deflection of Joint D produced by the 30-kip load in the figure. Use Virtual Work or Castigliano's Theorem. For all bars: A = 2 in^2 E = 9000 kips/in^2