Two beams (see figure) are loaded the same and have the same support conditions. However, the location of internal axial, shear, and moment releases is different for each beam (see figures). CB Åxial force Shear release Moment release release (a) 4 D Axial force Shear release Moment release release (b) First, find support reactions; then plot axial force (N), shear (V), and moment (M) diagrams for both beams. Label all critical N, V, and M values and also the distance to points where N, V, and/or M are zero. (Submit a file with a maximum size of 1 MB. Your submission will be graded by your instructor after the due date based on its accuracy. Your grade may change.) Choose File No file chosen State expressions for the most positive and most negative moments in each figure. (Use the deformation sign convention. Use the following as necessary: Pand L.) Figure (a) Mmost pos M.

Two beams (see figure) are loaded the same and have the same support conditions. However, the location of internal axial, shear, and moment releases is different for each beam (see figures). CB Åxial force Shear release Moment release release (a) 4 D Axial force Shear release Moment release release (b) First, find support reactions; then plot axial force (N), shear (V), and moment (M) diagrams for both beams. Label all critical N, V, and M values and also the distance to points where N, V, and/or M are zero. (Submit a file with a maximum size of 1 MB. Your submission will be graded by your instructor after the due date based on its accuracy. Your grade may change.) Choose File No file chosen State expressions for the most positive and most negative moments in each figure. (Use the deformation sign convention. Use the following as necessary: Pand L.) Figure (a) Mmost pos M.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.4.33P: The cantilever beam AB shown in the figure is an S6 × 12.5 steel I-beam with E = 30 × 106 psi. The...

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A beam ABCD with a vertical arm CE is supported as a simple beam al A and D (see figure part a). A cable passes over a small pulley that is attached to the arm at E. One end of the cable is attached to the beam at point B. (a) What is the force P in the cable if the bending moment in the beam just lo the left of point C is equal numerically to 640 lb-ft? Note: Disregard the widths of the beam and vertical arm and use centerline dimensions when making calculations. (b) Repeat part (a) if a roller support is added at C and a shear release is inserted just left of C (see figure part b).
A reinforced concrete beam (see figure) is acted on by a positive bending moment of M = 160 kN · m. Steel reinforcement consists of 4 bars of 28 mm diameter. The modulus of elasticity for the concrete is Ec= 25 GPa while that of the steel is Es= 200 GPa. Find the maximum stresses in steel and concrete. If allowable stresses for concrete and steel are T2= 9.2 MPa and t1= 135 MPa, respectively, what is the maximum permissible positive bending moment? What is the required area of steel reinforcement, A$ if a balanced condition must be achieved? What is the allowable positive bending moment? (Recall that in a balanced design, both steel and concrete reach allowable stress values simultaneously under the design moment.)
Find expressions for shear force V and moment M at mid-span of beam AB in terms of peak load intensity q0and beam length variables a and L Let a = 5L/b.
The beam ABC shown in the figure is simply supported at A and B and has an overhang from B to C. The loads consist of a horizontal force P1= 4,0 kN acting at the end of a vertical arm and a vertical force P2= 8.0 kN acting at the end of the overhang, Determine the shear force Fand bending moment M at a cross section located 3,0 m from the left-hand support. Note: Disregard the widths of the beam and vertical arm and use centerline dimensions when making calculations, Find the value of load A that results in V = 0 at a cross section located 2.0 m from the left-hand support. If P2= 8.0 kN, find the value of load P1that results in M = 0 at a cross section located 2,0 m from the left-hand support.
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