Q.3) (a) Find the support reactions of the beam shown below. (b) Sketch the shear-force and bending moment diagrams for the loaded beam shown below without formulating the SF and BM equations. Also label the values of shear-force and bending-moment at all key points. y 750 N 300 N/m 600 N/m 550 N-ml A В 2 m- -1m- -1 m* 2 m

Q.3) (a) Find the support reactions of the beam shown below. (b) Sketch the shear-force and bending moment diagrams for the loaded beam shown below without formulating the SF and BM equations. Also label the values of shear-force and bending-moment at all key points. y 750 N 300 N/m 600 N/m 550 N-ml A В 2 m- -1m- -1 m* 2 m

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

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
(3) Use Three Moment Equation Method to compute the support reactions of the beam loaded as shown 600 N R₁ im 3m 800 N/m Ra 1200 Nm am 4 R3
B.2. Elementary beam theory predicts that the axial bending stress ox in a prismatic beam is given by: σ, X (M.1, M,1,)y+ (M, I. - M.1,-) z (1,1.-1²-) where My and M₂ are bending moments applied to a cross-section, and where ly, Iz and lyz are second moments of area in the usual notation (Oxyz is a Cartesian coordinate system in which the x axis corresponds to the centroidal axis of the beam). (i) What assumptions have been made in the derivation of the above expression? (ii) Indicate by means of a sketch the directions in which positive values of the bending moments My and M₂ act on a cut plane facing in the positive x direction.
Compute the maximum tensile and comprsive stresses devloped in the beam that is loaded and has the cross-sectional properties shown in fig 8 KN 120 mm 10 KN/m ΝΑ A 1=20 x10 6 mm4 4m B C 1m 50 mm
A simply supported beam of length L is subjected to a varying distributed load sin (3x/L) Nm-¹, where the distance x is measured from the left support. The magnitude of the vertical reaction force in N at the left support is
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)
Elementary beam theory predicts that the axial bending stress ox in a prismatic beam is given by: ox = (M.I,M,L)y+(M,I.-M.I.) (1,1₂-13/2) where My and M₂ are bending moments applied to a cross-section, and where ly, lz and lyz are second moments of area in the usual notation (Oxyz is a Cartesian coordinate system in which the x axis corresponds to the centroidal axis of the beam). (iii) A Z--section beam has the cross-section shown overleaf (see Figure QB2). The second moments of area of the section about the y and z axes are given as;; ly = 1.12x106mm² and I₂ = 2.87x106 mm4. Show that lyz = 1.35x106 mm² (use the parallel axis theorem). 100 60 10 y -10 10 60 Figure QB2 N (iv) Bending moments Mz = 2.0 kNm and My = 0 kNm act on a cross- -section of the beam of part (iii). Obtain an expression for the bending stress and sketch the orientation of the neutral axis with reference to the y and z axes. What is the maximum tensile value of the axial bending stress and where does it occur?
Figure P24.25a shows a uniform beam subject to a linearly increasing distributed load. The equation for the re- sulting elastic curve is (see Fig. P24.25b) EI dx Note that the analytical solution for the resulting elastic curve is (see Fig. P24.25b) Wo(-x +24x -L*x) 120 EIL Use bvp4c to solve for the differential equation for the elastic curve for L 600 cm, E 50.000 kN/cm2, I 30,000 cm, and w 2.5 kN/cm. Then, plot both the numerical (points) and the analytical (lines) solutions on the same graph.
Analyze the loaded beam as shown. Be guided as follows: Solve for the reactions at supports Draw Shear and Moment Diagrams Compute for deflection at A (AA) and slope at C (0c) using Conjugate Beam Method a. b. С. 50 kN 90 kN D A C 6 m 9 m 9 m El = constant E = 70 GPa %3D I = 95 (106) mm4
A T-profile beam can be oriented in the four orientations shown. For the given loading, indicate which orientation(s) of the beam will result in the least displacement of the free end of the beam. ↑F TIITTIT possible orientations of beam cross section T (1) (2) (3) T (4)
EXAMPLE 4.2 The rigid bar BDE is supported by two links AB and CD. Link AB is made of aluminum (E = 70 GPa) and has a cross-sectional area of 500 mm²; link CD is made of steel (E = 200 GPa) and has a cross-sectional area of 600 mm?. For the 30-kN force shown, determine the deflection (a) of B, (b) of D, (c) of E. %3D 0.4 m 0.3 m 30 kN D E -0.4 m 0.2 m
150 mm 60 mn 300 nm 000 m 50 mm 5 m B 25 kNm 5 m 10 KN A beam is created by nailing 3 planks together with 2 rows of nails as shown above. The beam exhibits a pin support at A and is suspended by a cable at B. A concentrated load of 10 kN is applied at the free end while a moment of 25 kNm is applied at location B. a) Determine the second moment of area (I) of the cross-section b) Draw the free body diagram, shear force diagram, and bending moment diagram of the beam c) For the maximum shear force on your SFD, determine the maximum and minimum shear stresses at the interface between the horizontal and vertical planks d) For the maximum shear force on your SFD, Determine the shear stress at the neutral axis