Q2. A continuous beam structure as shown in Figure Q2 subjected to uniform distributed load of 6kN/m and point load of 30 kN. The beam is supported by a fixed support at A and roller supports at Band C. Flexural rigidity, EI of the beam is 25×10° kNmm². By using the flexibility method, determine(a) the vertical reaction forces at supports B and C (solution must consider reaction at supports B andC as redundant),(b) member end moments for the beam, and(c) draw the shear force and bending moment diagrams for the beam.6 kN/m3.5 m5.5 mFigure Q230 kNB1 m1 m

Answered: Q2. A continuous beam structure as…

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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The cross section is rectangular with a base of 4 in and height of 5 in A force of P= 12 kip is acting on the beam 4.5 ft 4.5 ft 3 ft- Part A Determine the absolute maximum bending stress in the beam, assuming that the support at Bexerts a uniformly distributed reaction on the beam Express your answer to three significant figures and include appropriate units.
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Figure Q2 shows a statically determinate plane truss subjected to a horizontal concentrated load at B. The truss is made using steel with Young's modulus of 205 GPa, and the cross section area for all members are constant. If the horizontal displacement at B is limited to 10 mm, determine the minimum cross section area required for the truss. The solution can be based on Method of Conservation Energy or Method of Virtual Work. (а) (b) Based on Q2(a), suggest an appropriate steel bar measurement.
The frame supports the distributed load shown. Determine the state of stress acting at point E. Show the results on a differential element at this point. The section is composed of two materials where E, = 200 GPa , and E, 150 GPa E, = = 200 GPa 4 kN/m 20 mm 60 mm BA E E2 = 150 GPa 20 mm 50 mm 5 m 3 m |-1.5 m--1.5 m-- 3 m
DYNAMICS OF RIGID BODIES problem Show complete solution.
The solid 60 mm diameter bent rod is fixed at O and is made of AISI 1035 HR steel. For the loading shown, determine the factor of safety against yielding at the location of ELEMENT H using; a) the Maximum Shear Stress theory and, b) the Henky-Von Mise, Distortion Energy theory. NOTE: All dimensions in mm. Fy = 6 kN 100 450 B Fx = 10 kN H 0 H 150 700 K y
Rigid bar ABCD is loaded and supported as shown. Steel [E = 29900 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.73 in.² and bar (2) has a cross-sectional area of 0.47 in.². After load P is applied, the strain in bar (1) is found to be 800 με. Assume L₁-52 in., L₂=90 in., a-36 in., b-34 in., and c-23 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vp of point D on the rigid bar. (c) the load P. (2) (1) L₁ B C a Answers: (a) σ₁ = (b) VD = (c) P = i i L2 b C ksi, 0₂ = i in. kips. D P ksi.
solve correctly and show the complete solution.
A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal before the load P is applied. Bars (1) and (2) are both made from steel [E = 30,000 ksi] and both have a cross-sectional area of 1.25 in.2. If the normal stress in bar (1) must be limited to 19 ksi, determine the maximum load P that may be applied to the rigid bar.
Rigid bar ABCD is loaded and supported as shown. Steel [E = 29900 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.81 in.2 and bar (2) has a cross-sectional area of 0.46 in.2. After load P is applied, the strain in bar (1) is found to be 770 με. Assume L1=55 in., L2=78 in., a=31 in., b=31 in., and c=36 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vD of point D on the rigid bar. (c) the load P.
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
Consider the nonprismatic cantilever beam of circular cross section shown. The beam has an internal cylindrical hole in segment 1; the bar is solid (radiusr) in segment 2. The beam is loaded by a downward traingular load with maximum intensity go as shown. Linear M. 3 Segment 1 0.5 EI Segment 2 EI (a) Find expression for maximum compressive stress at point 1. (b) Find expression for maximum tensile stress at point 1.

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