From the given simply supported beam below, determine the following:a, The shear and moment equation of each segment of the beami Use point A as reference ofb. The Shear and Mament Diagram of the beame The maximum shearand moment of the beam.d. The moment of Ihertia with respect to the neutral axls.e. The maximum flexurál stress and shear stress of the beam.I. The bending stress at point B andC* The shear stressät the mid-point of the beam.20 kN14 kN / m10 KN / mAB[D]E4 m25 m25 m3 m360 mm80 mm130 mm130 mm300 mm90 mm280 mm

Draw the free-boy diagram of the beam.

1. From the given simply supported beam below, determine the following: a. The shear and moment equation of each segment of the beam. Use point A as reference of b. The Shear and Mament Diagram of the beam C The maximum shearand moment af the beam. d. The mament of Inertia with respect to the neutral axis. e. The maximum flexural stress and shear stress of the beam. I. The bending stress at point B and C g. The shear stress at the mid-point of the beam. 20 kN 14 kN / m 10 kN / m A B C D 25m 25 m

1. From the given simply supported beam below, determine the following: a. The shear and moment equation of each segment of the beam. Use point A as reference of b. The Shear and Mament Diagram of the beam C The maximum shearand moment af the beam. d. The mament of Inertia with respect to the neutral axis. e. The maximum flexural stress and shear stress of the beam. I. The bending stress at point B and C g. The shear stress at the mid-point of the beam. 20 kN 14 kN / m 10 kN / m A B C D 25m 25 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

If σsafety=140MPa (safety stress) in the beam whose loading condition and cross-section are visible, find the maximum value of the P force, Based on the assumption of Maximum shear stress (Tresca) and deformation energy (Von Mises) theorems. Draw the shear stress diagram for the force P found.
For certain values of w and P, the maximum positive bending moment in the beam is +7044 lb-ft, and the maximum negative bending moment is -8873 lb-ft. The cross section of the beam is shown. The pertinent section properties of the cross section are e = 2.90 in., f = 1.30 in., and I,= 18.3990 in.4. Calculate (a) the maximum tensile bending stress and (b) the maximum compressive bending stress that is produced in the beam. Enter your answers with the appropriate sign. B D b d y
1) a. Determine the location of the plastic centroid for the column shown. b. Calculate the design axial load and moment capacities (OP, and Mn), for bending about the x-axis with compression at the top fiber and a tension strain of 0.004 in the bottom layer of steel. f. = 40 MPa, and f, = 420 MPa. 600 mm 300 mm 300 mm 12T25 800 mm 165 mm 150 mm 150 mm 150 mm 65 mm
The slope of the shear diagram is equal to Select one: a. Rotational moment b. Distributed load intensity С. Bending moment d. Total weight
A simply supported beam ABC is loaded at the end of a bracket BDE (see figure). D (Use the deformation sign convention. When entering expressions, use the following as necessary: P and L.) Draw the axial-force diagram for ABC. N N State expressions for the minimum and maximum values of the axial force Mx). Nain = max Draw the shear-force diagram for ABC. Vrur 00 State expressions for the minimum and maximum values of the shear force Vx). min V = max Draw the bending-moment diagram for ABC. M M OMeen O OMin State expressions for the minimum and maximum values of the bending moment M(x). Mmin = %3D 'max
Consider the distributed loading acting on the frame structure which is pin-supported at B and D:a. Calculate a the free coefficient in the distributed load function w(y). Make sure to provide its proper units as well.b. Calculate the resultant force from the distributed load and where it acts along member AB. c. Show a complete and labeled free-body diagram(s) of the structure with the distributed lod replaced by a single concentrated force.d. Solve for the support reactioncomponents Bx, By, Dx, Dy on the frame at the pin-support locations B and D.
The frame is subjected to the horizontal force and couple moment. Determine the priciple stresses and the absolute maximum shear stress at point A. Refer to attached image. Thank you.
The moment acting on the cross section of the unequal-leg angle has a magnitude of 19 kN-m and is oriented as shown in the figure. All stresses are positive if tensile and negative if compressive. Assume a = 180 mm, b- 125 mm and t- 17 mm. Determine (a) the bending stress at point H. (b) the bending stress at point K. (c) the maximum tension and the maximum compression bending stresses in the cross section. (d) the orientation B of the neutral axis relative to the +z axis. b. y K H. (typ.) Answers: (a) OH = i MPa (b) OK = MPа (c) OmaxT = MPa OmaxC = MPa (d) B = i
(c) Beam AB is made of three planks glued together and is subjected, in its plane of symmetry, to the loading as shown. Knowing that the width of each glued joint is 20 mm, determine the average shearing stress in each joint at section n-n of the beam. The location of the centroid of the section is given in the sketch and the centroidal moment of inertia is known to be l = 8.63 x 10 m². 1.5 KN 1.5 KN n n - 0.4 m 20 mm 80 mm 20 mm 0.2 m 100 mm C -Joint a -20 mm 0.4 m- 60 mm- 68.3 mm Joint b B
A beam of T-section is pin-joint supported at point A and simply supported at point B with an overhang section BC shown in Figure 2. The cross section has the width b = 65 mm, height h - 75 mm and thickness / -13 mm. (a) Determine the support reactions at points A and B. (b) With the aid of bending moment of diagram, determine the maximum tensile and compressieve stresses in the beam. P = 4.5 KN t = 13 mm L₁=1.25 m q=2 kN/m L -L₂=2.5 m- ™ B +4-43=1 -L3= 1.5 m- t = 13 mm h'= 75 mm b = 65 mm
Determine all the reactions at the support of the three-span continuous beam shown in the figure. Take flexural rigidity EI as constant. Horizontal Reaction at fixed support A, Ax, is zero. Draw the shear force and bending moment diagrams. Using the Method of Consistent Deformations. Solve the moment reaction at A (MA in kN-m), vertical reaction at A (Ay), B (By), C (Cy), D (Dy) (in kN)
Determine the bending stress at point A of the beam using the result obtained in Prob. 6–106. The moments of inertia of the cross-sectional area about the z and y axes are Iz = Iy = 5.561 in4 and the product of inertia of the cross sectional area with respect to the z and y axes is Iyz = −3.267 in4. (See Appendix A.)