A variable cross-sectional beam is pinned from the point B by BD bar as shown. Flexural rigidity ofAB and BC beams are 2El and EI, respectively. If the axial rigidity of the BD bar is EA, Determinethe reaction forces at the point A by using,Mohr method7AL ).3EALPE2IC EI

Answered: Image /qna-images/answer/1eb393d1-108e-47df-ae41-b5c91eaf210a.jpg

A variable cross-sectional beam is pinned from the point B by BD bar as shown. Flexural rigidity of AB and BC beams are 2El and El, respectively. If the axial rigidity of the BD bar is EA, Determine the reaction forces at the point A by using,

A variable cross-sectional beam is pinned from the point B by BD bar as shown. Flexural rigidity of AB and BC beams are 2El and El, respectively. If the axial rigidity of the BD bar is EA, Determine the reaction forces at the point A by using,

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

For the beam shown below, the ratio of stiffness coefficients k41 and k43 is Assume El is constant. -2m- B 4 3m 2
QB4 BENDING STRESS The beam is loaded by one couple at each of its ends, the beam cross-section shown below (Figure QB4). Determine: a) The position of the horizontal neutral axis. b) The second moment of area of the section about the horizontal neutral axis. c) The values of the maximum tensile stress and the maximum compressive stress in the beam if it supports a maximum bending moment of 1200x10 N.mm and the base face is in tension. 150mm 50mm 250mm +50mm I 50mm 150mm Fig QB4
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
Jertical beam of the applied to a shown. Determine forces are cross section compressive BC of the the maximum Stresses bRam. tensile and portion. 9,25 kN in 45mm I10mm 30 mm 30mm 400mm 500mm
Problem 2 The rigid bar is plnned at A and held by two flexible bars at E and C. The load P Is applled at B. The two flexible bars FE and DC each have a diameter of 1 In. The flexible bars are elastic- perfectly plastic with a yleld stress equal to 20 ksl and a yleld strain of 0.001. Determine the following: The load R, at first yleld and the corresponding deflection at B, &, The ultimate load Pu and the corresponding deflection du The permanent deflection and residual stresses in each rod if the ultimate load is removed Construct P - A curve showing yield, ultimate and permanent deformation o (ksi) 1 ft E F 1 ft1 ft 20 B P e (in./in.) 0.001 1 ft D 2 ft 1 ft A
All truss members in the truss shown are made of the same material and are of the same cross-sectional area. The failure normal tensile stress for the material is 16ksi, and the failure compressive normal stress is 10 ksi. A factor of safety, FS, of 1.6 is to be applied. The internal forces in each member can be computed using statics. As a hint, it was predetermined that the maximum forces occur at members DE and AD. Determine the following by using 4 decimal places: * Magnitude and type of axial force in member DE. * Magnitude and type of axial force in member AD. * The required area in in2 for truss member DE. * The required area in in2 for truss member AD * What is the minimum required cross-sectional area in in2 for all the members if they are to be of the same size?
Problem 1: The rigid bar ABC is supported by AD and BE. Determine: a. Inclination of member ABC after loading b. 8 at point E Members Properties: Member Materials Modulus Cross- sectional Area of Elasticity AD Aluminum 70GPA 450mm2 ВЕ Steel 200GPA 550mm2 E O •Im O:3m 45kN. t 0 4m
The beams ABD and DE are joined by a hinge at D. Select the lightest allowable W-shape for beam DE if its working stress in bending is 120 MPa. Also calculate the actual maximum bending stress in beam DE.
Two cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid supports at A and E. For the loading shown and knowing that E, = 200 GPa and Es = 100 GPa, determine (a) the reactions at A and E, (b) the stress at segment BC, (c) the deflection of point D. Dimensions in mm 100 100 -180- +120– Dl E Steel B Brass 60 kN 40 kN 40-mm diam. 30-mm diam.
2max 1 max A beam comprises of two metals (1 and 2). Both the metals are in contact as shown in figure. If a moment M, is applied, what is the value of 0₁/0... It is given that both the metals will bend separately about their own neutral axis. Also draw bending strain and bending stress diagram. Mo Mo at th Jicc E₁, I, E2, 12 d₁ d₂
Two cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid supports at A and E. For the loading shown and knowing that Es = 200 GPa and E,= 100 GPa, determine (a) the reactions at A and E, (b) the stress at segment BC, (c) the deflection of point D. Dimensions in mm 100 100 -180- -120- A Cl Dl E Steel B Brass 60 kN 40 kN 40-mm diam. 30-mm diam.
Beam AB is supported as shown in the figure. Tie rod (1) is attached at B and C with double shear pin connections, while the pin at A is attached with a single shear connection. The pins at A, B, and C each have an ultimate shear strength of 57 ksi, and tie rod (1) has a yield strength of 33 ksi. A concentrated load of P = 14 kips is applied to the beam as shown. A factor of safety of 2.4 is required for all components. Determine: (a) the minimum required diameter for tie rod (1). (b) the minimum required diameter for the double shear pins at B and C. (c) the minimum required diameter for the single shear pin at A. 6.7 8 in. 3.8ft (2) 8.5ft