Answered: 7 2 + 2 4 + 2 + 3 5

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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Give the following problem a try. If you get stuck, here is one way to work it: Essential Solution Video. For the shape below, assume the following dimensions: a = 175 mm b = 220 mm d = 300 mm t = 23 mm The centroid of this shape is located 71.762 mm to the right of point H shown in the figure. What is the moment of inertia ly about the y centroidal axis for this shape? H Answer: ly M b 2t mm4
There is a system located in three-dimensional space like the one shown in the figure, it determines: a) the unit vector of the tensor D, b) the force exerted by the tensor D and c) the tension forces at points B, C D 5m 2m 3 m 250kgf
This is an exercise to illustrate the effects of mesh refinement on a 1-d rod. To estimate the self-weight elongation (8) of the tapered conical rod shown in the figure. The diameter varies linearly from Do at the bottom to aDo at the top, where 0.1 < E Young's Modulus y Unit weight (Diameter at top) 8 clongation D (Diameter at bottom) a<0.5. Solve for L= 5m, y= unit weight of steel, E= young's modulus of steel, Do=3m and a=0.3. Solve the problem at least four times using an increasing number of rod elements (nels=2, 4, 6, 8). Make appropriate assumptions about how to deal with the changing cross-sectional area and self-weight loading along the length of the rod. A plot of the dimensionless tip deflection SE/yL? vs. number of elements (nels) used in the discretization to show convergence on the exact solu- tions of
The spokes in a large flywheel are modeled as beams fixed at one end and loaded by a force P and a couple M0 at the other (see figure). The cross sections of the spokes are elliptical with major and minor axes (height and width, respectively) having the lengths shown in the figure part (a). The cross-sectional dimensions vary linearly from end A to end B.
Page 6 Question 6 A cantilever beam AB of length L is subjected to a uniformly distributed load w and simply supported at the end A with a spring. Assume that El is constant and stiffness of the spring is k. (a) Determine the reaction forces at the end B of the beam shown in Figure Q6 by using the virtual-work method. (b) Describe the procedure to determine the deflection at the middle of the beam in 100 words (without actually solving the problem). O DEN5102 (2022) W L Figure Q6 B
Suppose we have a uniform beam that is 3.40metres long has a flexural rigidity of 31915N Find the deflection of the beam in millimetres if the beam is under a uniform load of 24Nmand is supported with simple supports at both ends. Fill out the table below with your answers. x�-coordinate Deflection (mm��) x=0.14 y(x)�(�) = x=1.12 y(x)�(�) = x=1.80 y(x)�(�) = x=2.65 y(x)�(�) = x=3.06 y(x)�(�) = Enter as many decimal places as your calculator allows (8 to 10). Your answer must be within ±0.0005±0.0005 of the correct answer to be considered correct.
Mc A B For the beam shown in the figure, with the depicted loading and boundary conditions, draw the shear force and bending moment diagrams – please draw your graphs with care to represent constant values, linear relationships and parabolic relationships. In your work show the reactions and respective values at A and B, the equations you obtained for shear force and bending moment distributions, and relevant values of shear force and bending moment at relevant points along the span of the beam – in your graphs. Mc = 4 kN.m P = 3 kN/m L = 1.25 m
QUESTION 3 The beam in Figure 3 is roller supported at A and B, pinned at D and hinged at c. The location of the hinge is given in the figure, where a is the last two digits of your matrix number (Example: for matrix number 201234, a/100 = 0.34; for matrix number 201204, a/100 = 0.04). Given E as 200 GPa, and I as 11250 cm*. a) Draw the deflected shape of the beam. b) Using conjugate beam method, determine the deflection at point C. Indicate the direction of the deflection. 100 kN C 2 m 3 m a/100*L L = 6 m Figure 3
USING CONJUGATE BEAM METHOD SOLVE THE FOLLOWING P P a LO b LO
Calculate the position of the centroid. Use the axes of the figure. It is possible to make the calculation from three geometric shapes only. Answer: Xc = 35.1 cm Yc= 18.3 cm

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