B/ 300 MA RB Determine the reactions RA R and MA for this beam. (Solve by the method of superposition. The beam has constant flexural rigidity EI. Assume that the +x-axis is to the right, the +y-axis is up along the page, and the +z-axis is out of the page. Use the statics sign convention. Use the following as necessary: L, a, b, and P.) RA = Rg= MA = Also, draw the shear-force and bending-moment diagrams, labeling all critical ordinates, including maximum and minimum values. (Submit a file with a maximum size of 1 MB.)

B/ 300 MA RB Determine the reactions RA R and MA for this beam. (Solve by the method of superposition. The beam has constant flexural rigidity EI. Assume that the +x-axis is to the right, the +y-axis is up along the page, and the +z-axis is out of the page. Use the statics sign convention. Use the following as necessary: L, a, b, and P.) RA = Rg= MA = Also, draw the shear-force and bending-moment diagrams, labeling all critical ordinates, including maximum and minimum values. (Submit a file with a maximum size of 1 MB.)

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

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.
A beam AB bears the force as follows, and the flexural stiffness of the beam section is constant EI:(a) Try the Conjugate Beam method to find the slope of point C after deformation.(b) Try the conjugate beam method to find the (vertical) displacement of point B after deformation.
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.
A beam of flexural rigidity EI is fixed at A and supported by a linear EI at B. Determine the compressive force spring of stiffness k= developed in the spring, when the beam is subjected to a UDL of w per unit length. w A B L -
be L.A prismatic beam fixed at both ends carries a uniformly distributed load. The ratio of bending moment at supports to bending moment at midspan is
For the statically indeterminate beam shown in Figure 2, use the stiffness method to: (a) Determine the element stiffness matrix, k; for each element. (b) Assemble the structural stiffness matrix, K for the entire truss. (c) Determine the deflection, D and rotation, Q at joint B. (d) Determine all the reactions, Q at supports. (e) Draw the quantitative shear and bending moment diagrams. A is fixed support, B and C are roller supports. El are constant values. 20kN 4kN/m C A В 1.5 m 10m 3 m Figure 2: Statically indeterminate beam
For the statically indeterminate beam shown in Figure 2, use the stiffness method to: (a) Determine the element stiffness matrix, k; for each element. (b) Assemble the structural stiffness matrix, K for the entire truss. (c) Determine the deflection, D and rotation, Q at joint B. (d) Determine all the reactions, Q at supports. (e) Draw the quantitative shear and bending moment diagrams. A is fixed support, B and C are roller supports. El are constant values. 20KN 4kN/m A B 1.5 m 10m 3 m Figure 2: Statically indeterminate beam
The beam is supported by a roller at B and a pin at C and is subjected to the distributed load shown with intensity w = 180 N/m. The maximum positive and negative internal bending moments are critical factors in the design of the beam material and geometry. Determine the largest positive and negative internal bending moments that occur in the beam and the points along the length where each occurs. Take z = 0 to be at point A at the left edge of the beam. cc 1❀0 BY NC SA 2016 Eric Davishahl a X b -a- 4.00 m 5.20 m B Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value The maximum negative internal bending moment is and occurs at z =| m to the right of A. The maximum positive internal bending moment is and occurs at x = W m to the right of A. ·b- N-m N-m
The bending stiffness of the beam given the loading condition in the figure is El. Determine according to this with donmy Mohr method at point A
There is a beam as shown in the figure below, and the flexural stiffness of the beam section is constant EI:(a) Try the Moment-area Method to obtain the slope of point A after deformation.(b) Same as the above question, try to find the slope of point B after deformation.(c) Same as the question above, try to find the vertical deflection of point C (Deflection).
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.
12. Consider an elastic straight beam of length L = 10t m, with square cross-section of side L = 10n m, with square cross-section of sid. %3D a = 5 mm, and Young's modulus E = 200 a = GPa. This straight beam was bent in such a way that the two ends meet, to form a circle of mean radius R. Assuming that Euler. Bernoulli beam theory is applicable to this bending problem, the maximum tensile bending stress in the bent beam is MPa. R L Ends of the beam