Answer fast 6.Ans: e=An extruded beam has the cross section shown. Determine (a) the location of the shear center O,(b) the distribution of the shearing stresses caused by a 50 kN vertical shearing force applied at0.For EduO10-D50 kNEB64010→A670G40Dimensions in mmFig. Q6F100Ans: (a) e=48.7 mmτ(b) r = 0 at A, T=15.95 and 26.6 MPa at B, r = 73.1 and 43.9 MPa at D, r = 60.5MPa at midpoint of DE

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Answered: 6. Ans: e= An extruded beam has the…

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:Y 211O 2_531929016114... -> A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as shown in Figure below. Axial loads are applied at the positions indicated. If P = 11 KN and the cross sectional area of each rod is 312.5 mm, determine the stress in each section. 4P Steel Bronze |Aluminum 609.6 mm 914.4 mm 762 mm
D 140 mm in the trusses analyies experiment we got the strain Reading as, B Loaden) 5train AB strain AC 5train BC (EM) (EM) (EM) O 469 1117 1116 50 465 1115 1126 100 463 1110 1131 150 458 1095 1139 200 453 1085 250 450 1080 calcute the force in each member; F= πTd²x ExE 4 d = 5.985mm E = 210 GN/m² B W с 1148 t 155
As shown in the figure, rod AB is steel and rod BC is an aluminum, are hinged to rigid suppots which are pinned together at B to carry a vertical load P=20kN. Each rod has a cross-sectional area of 400mm^2 and Es=200000Mpa and Ea=70000Mpa. Compute for the deformation of steel and aluminum and for the horizontal and vertical displacements of point B.
A thin polymer plate PQR is deformed such that corner Q is displaced downward 0.0625-in. to new position Q' as shown in the figure. Determine the shear strain at Q'associated with the two edges (PQ and QR). Assume a = 4 in., b = 1 in., c = 2 in., and A = 0.0625 in. a R A Q' Answer:Y = i prad
Determine the maximum tensile bending stresses in the beam shown. LetP= %3D 19 Note Answer in whole number I = 100 × 106 mm4 P kN/m 2. NA 130 mm 6 m B = 4P 200 mm 2P kN 6-X= Am 4P : - GP
A thin rectangular polymer plate PQRS of width b = 361 mmand height = 193 mm is shown in the figure. The plate is deformed so that corner Q is displaced upward by c = 3.1 mm and corner R is displaced leftward by the same amount. Determine the shear strain at corner P after deformation. a Y = b S a urad
2.4 The truss shown is the same as in Example 2.1 except that the area of bar ab is a variable. E = 200,000 MPa. (a) For what value of Aah is v. = 0? Is this a function of the magnitude of the applied load? (b) Is it possible to obtain zero u, by varying A? (c) Suppose the applied load were vertical rather than horizontal, would it then be possible to obtain zero u, by varying Aab? If so, for what value of Aab? What would be the corresponding v.? 500 kN Fah = +400.6 kN Aab 4 m 6 m 3 m Problem 2.4 Fac = -277.8 kN Aae = 8000 mm?
2)For the supporting frame shown below: a) Determine the internal forces acting at section a-a. b) Determine the stress components that act at points A and B. IN = 2.6525x10-7 mª -300 mm 150 mm 2.5 kN a 12 mm 6 mm 6 mm 6 mm 36 mm'36 mm Section a – a
An E-Shape beam with the cross-section is bent about vertical axis. As shown in Figure Q3, N-N is plastic neutral axis Assume that the yield stress, oy is 275 MPa and the elastic bending moment, My is 18.88 kNm, (i) determine the plastic moment, M, of the beam. (ii) determine the value of the shape factor for the beam. N 20 тm | 20 тm 100 тm 20 тm 60 тm 20 тm 80 тm N Figure Q3
Find OF g, C, I, A', ğ,b the value A' = area above = the distance from the center oF A to the centroidal axis moment Iner tia OF base the centroidal axis OF are a above attached tロ C = the distance From tne center to the topmost Fiber OF the bcam Formulas: Fb= Mc エ Ib Fb=bending stress v: shearing stress M = ma x value OF moment OF shear : E ay AT o. 0amm O.004mm 0.02mm 0.12 m m
bending moment changes sign shear force is maximum iii. bending moment is maximum GROUP-B 1) Derive the relationship between Young's modulus (E) and Bulk Modulus (K). 2) For the aluminium shaft shown (G = 27 GPa) below, (a) determine the torque T that causes an angle of twist of 4°, (b) the angle of twist caused by the same torque T in a solid cylindrical shaft of the same length and cross-sectional area. 1.25 m 18 mm 12 mm
A vibration isolation support consists of a rod A of radius R₁ and a tube B of inner radius R₂ bonded to an 80-mm-long hollow rubber cylinder with a modulus of rigidity G = 10.93 MPa. Determine the required value of the ratio R2/R1 if a force P = 13 kN is to cause a 2-mm deformation of rod A. B R₁ R₂ .. 80 mm The required value of the ratio R2/R₁ is 1.422

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