A beam is shown in the figure given below where A is hinged, and B and Care roller supports. Use Three-Moment-Theorem to determine the end momentsand draw the BMD for the beam.w kN/mP2 kNP1 kNBAD2ΕΙ2EIEIT77L4L3L3L2Data TableL1L2L3L4P1P2(m) (m) (m)(m)(kN) (kN)(kN/m)2443446.

Consider the free body diagram ; Expression of three moment equation as;…

Answered: A beam is shown in the figure given…

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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Consider the beam in the given figure. Given: P= 13 kips and Elis constant. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. P kips P kips B 16+ -12' te -12²6 Compute the reactions for the beam in the given figure. The reaction for the beam at Bis Rg=| kips(Click to select) ✓
Both elements have the same section and are made of the same material. Draw the shear and moment diagrams and draw the deformed Using matrix analysis techniques Realize the structural analysis (estimate forces in the supports and displacements in the free nodes) EI = 100.000 kn-m² I 10 m² H 12 m 20 N-m 目 8 40 kN 240 kw-m 2 12 m A
The cantilever beam is supported by a fixed support at A, and subjected to the force F-470 lb and the couple M = 3210 ft-lb. Draw the shear force and bending moment diagrams (in your homework documentation) and determine the equations for V(x) and M(x). Take z = 0 at point A. 2013 Michael Swanbom F₁ (CC) a b BY NC SA a Support Reactions The force reaction at A is The couple moment reaction at A is Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 4 ft 3.2 ft Shear Force and Bending Moment Equations In section AB: V(x)= In section BC: V(x)= B lb (take up as positive). lb and 'M(x)= M lb and 'M(x)= b- C ft-lb (take counterclockwise as positive). ft-lb. ft-lb.
for the beam shown in the figure, a) find the equation of elastic curve by integration method. b-) Draw (Ty), (mx) oliagrams of the beam. c-) find the Suppert reactions. 29=260 9=130 9-130 E L-158cm Figure: L=158 cm
Figure 1 shows a structural beam and Figure 2 the cross section the beam. Additional to all the loadings shown beam AD has a constant clockwise internal moment coming out of the page of 2kN.m. Answer the quesstion in the second picture (the one with figure 2)
AREA MOMENT METHOD Find the value of EIð at the point of application of the 200 N-m couple in the figure. 500 N 200 N-m 1 m 2 m 1 m R1 R2
- A frame supports both a linear distributed load and a concentrated moment, as shown in the figure below. The distributed load has a magnitude qo = 140 N/m at point B which decreases linearly to zero at point C. The concentrated moment has a magnitude Mc = 79 N - m and acts at point C. The frame is held in equilibrium by a pin at point A and a cable BD. The horizontal and vertical dimensions are given as: L₁ = 7 m, L₂ = 1.5 m , and L3 13 m. Neglect the thickness and weight of the frame for this analysis. Determine the internal normal force (P), internal shear force (V), and internal bending moment (M) at the following locations: qo = L3 D B f A DO e IC Mc
Figure 1 shows a steel bar AB that has a rectangular cross-section. If it is pin connected at its ends, determine the maximum allowable intensity w of the distributed load that can be applied to BC without causing bar AB to buckle. Use a factor of safety with respect to buckling of 2.5. E = 200 GPa, Oy = 360 MPa. Q1 w kN/m В 5 m 3 m 30 mm Section A-A iy + + 20mm 20 mm, Section A-A Figure 1
Problem 4 In the structure shown below, each of the rods BD and CE is made of brass (E = 105 GPa) and has a cross- sectional area of 200 mm?. Determine the deflection of end A of the rigid member ABC caused by the 2-kN load. (Hint: 1) consider equilibrium using the free body diagram of the rigid member ABC, 2) consider compatibility between the deflections of points B and C, 3) consider force-deformation relation of rods BD and CE) DO E 2 kN 225 mm В F 550 mm 75 mm 100 mm
A cantilever of length 3L has section second moments of area I, I, and I, referred to horizontal and vertical axes through the centroid of its cross section. If the cantilever carries a vertically downward load W at its free end and is pinned to a support which prevents both vertical and horizontal movement at a distance 2L from the built-in end, calculate the magnitude of the vertical reaction at the support. Show also that the horizontal reaction is zero. Ans. 7 W14.
Assignment 4 (CLO4) The beam shown in the Figure below is subjected to the two couple moments. If the center support settles 1.5 mm, determine the reactions at the supports. Assume the roller supports at Dand can pull down or push up on the beam. Take E=200 GPa and I=22(10-6) m4. %3D 4 kN m 4 KN m 2m
STFIFFNESS METHOD Example: Use the stiffness method to determine the reactions then draw the BMD for the shown beam.

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