Answered: 14 8.5 + 9 8 Shape width equals 6…

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
Structural mechanics virtual work in structures with bending and axiel deformations
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
A column is constructed using four A992 steel angles that are laced together as shown. The length of the column is to be 40 ft and the ends are assumed to be fixed connected. Each angle shown below has an area of A = 2.75 in^2 and moments of inertia of Ix = ly = 2.22 in^4. (Figure 1) 2.068 in. 0.932 in. 0.932 in. 2.068 in. C с C C y Determine the distance d between the centroids C of the angles so that the column can support an axial load of P = 340kip without buckling. Neglect the effect of the lacing. Express your answer to three significant figures and include the appropriate units X d
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.
Consider the figure shown below. The radius of gyration of the circular area with respect to the line x is; 2 m A V5 m (в Vz m B 2 m D)
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
A wooden bar beam arrangement is shown in the figure. The beam is formed by nailing wooden bar and each nail has a shearing strength of 250 N and the beam is designed for a shear force of 3.2 kN. Find the spacing between the nails for this arrangement. 360 mm 20 mm 200 mm 20 mm ▬▬
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
Which one of the following trusses is unstable? A. C. D. В. The slope deflection method in structural analysis fall in the category of: a. Force Method b. Flexibility Method c. Method of Consistent Deformation d. Stiffness Method The bending moment diagram for a cantilever beam whose free end is subjected to a point load will be of the shape of a: a. Triangle b. Parabola c. Rectangle d. Cubic parabola
USING CONJUGATE BEAM METHOD SOLVE THE FOLLOWING P P a LO b LO
Beam Deflection Using Double Integration Method

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14 8.5 + 9 8 Shape width equals 6 units.