Figure 2 below shows a 12 m length of beam with a pinned support at A and rollersupport at C. The beam carries a uniformly distributed load (UDL) of 4 kN/m and aconcentrated load of 12 kN at B.a. Show the Free Body Diagram (FBD) of the beam then determine the reactionforce.b. Calculate the shear force, V. Draw Shear Force Diagram (SFD).c. Calculate the bending moment, M. Draw the Bending Moment Diagram (BMD). Figure 2 below shows a 12 m length of beam with a pinned support at A and rollersupport at C. The beam carries a uniformly distributed load (UDL) of 4 kN/m and aconcentrated load of 12 kN at B.а.Show the Free Body Diagram (FBD) of the beam then determine the reactionforce.b.Calculate the shear force, V. Draw Shear Force Diagram (SFD).C.Calculate the bending moment, M. Draw the Bending Moment Diagram (BMD).12 kN4 kN/mA↑ ↑C4 m8 mFigure 2

Answered: Image /qna-images/answer/1f5fdade-8fca-4126-a44e-b342f7f03efc.jpg

Figure 2 below shows a 12 m length of beam with a pinned support at A and roller support at C. The beam carries a uniformly distributed load (UDL) of 4 kN/m and a concentrated load of 12 kN at B. а. Show the Free Body Diagram (FBD) of the beam then determine the reaction force. b. Calculate the shear force, V. Draw Shear Force Diagram (SFD). C. Calculate the bending moment, M. Draw the Bending Moment Diagram (BMD). 12 kN 4 kN/m A ↑ ↑ C 4 m 8 m Figure 2

Figure 2 below shows a 12 m length of beam with a pinned support at A and roller support at C. The beam carries a uniformly distributed load (UDL) of 4 kN/m and a concentrated load of 12 kN at B. а. Show the Free Body Diagram (FBD) of the beam then determine the reaction force. b. Calculate the shear force, V. Draw Shear Force Diagram (SFD). C. Calculate the bending moment, M. Draw the Bending Moment Diagram (BMD). 12 kN 4 kN/m A ↑ ↑ C 4 m 8 m Figure 2

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 10.4.38P: A fixed-end beam AB of a length L is subjected to a uniform load of intensity q acting over the...

See similar textbooks

Similar questions

A floor system in a small building consists of wood planks supported by 2-in. (nominal width) joists spaced at distance s and measured from center to center (see figure). The span length L of each joist is 12 ft, the spacing s of the joists is 16 in., and the allowable bending stress in the wood is 1250 psi. The uniform floor load is 120 lb/ft", which includes an allowance for the weight of the floor system itself. Calculate the required section modulus S for the joists, and then select a suitable joist size (surfaced lumber) from Appendix G, assuming that each joist may be represented as a simple beam carrying a uniform load. What is the maximum floor load that can be applied to your final beam selection in part (a)?
A heavy object of weight W is dropped onto the midpoint of a simple beam AB from a height h (see figure). Obtain a formula for the maximum bending stress ^ma* due to tne filing weight in terms of h, st, and 5st, where it is the maximum bending stress and Sstis the deflection at the midpoint when the weight W acts on the beam as a statically applied load. Plot a graph of the ratio o"max/ö"it (that is, the ratio of the dynamic stress to the static stress) versus the ratio iifS^r(Let h/S^ vary from 0 to 10.)
For the beam AB shown in Cases 1 and 2, derive and plot expressions for the shear force and bending moment acting on section 1 in terms of the distance x (0 < x< L). [Note: Case 1 results in the conventional V- and M-diagrams, in which the loads are fixed and the location of the section varies; the diagrams for Case 2 (called influence diagrams) show the variation of V and M at a fixed section as the location of the load is varied]
Repeat Problem 6.2-1 but now assume that the steel plate is smaller (0.5 in. × 5 in.) and is aligned with the top of the beam as shown in the figure.
-15 A composite beam is constructed froma wood beam (3 in. x 6 in.) and a steel plate (3 in, wide). The wood and the steel are securely fastened to act as a single beam. The beam is subjected to a positive bending moment M. = 75 kip-in. Calculate the required thickness of the steel plate based on the following limit states: Allowable compressive stress in the wood = 2 ksi Allowable tensile stress in the wood = 2 ksi Allowable tensile stress in the steel plate = 16 ksi Assume that Ew= 1,500 ksi and es= 30,000 ksi.
A propped cantilever beam of a length L is loaded by a concentrated moment M0at midpoint C Use the second-order differential equation of the deflection curve to solve for reactions at A and B. Draw shear-force and bending-moment diagrams for the entire beam. Also find the equations of the deflection curves for both halves of the beam, and draw the deflection curve for the entire beam.
A simple beam AB is loaded as shown in the figure. Calculate the required section modulus S if ^aibw = IS,000 psi, L = 32 ft, P = 2900 lb, and g = 450 lb/ft. Then select a suitable I-beam (S shape) from Table F-2(a), Appendix F, and recalculate 5 taking into account the weight of the beam. Select a new beam size if necessary. What is the maximum load P that can be applied to your final beam selection in part (a)?
A fixed-end beam AB of a length L is subjected to a uniform load of intensity q acting over the middle region of the beam (sec figure). Obtain a formula for the fixed-end moments MAand MBin terms of the load q, the length L, and the length h of the loaded part of the beam. Plot a graph of the fixed-end moment MAversus the length b of the loaded part of the beam. For convenience, plot the graph in the following nondimensional form: MAqL2/l2versusbL with the ratio b/L varying between its extreme values of 0 and 1. (c) For the special case in which ù = h = L/3, draw the shear-force and bending-moment diagrams for the beam, labeling all critical ordinates.
Beam ABC is supported by a tie rod CD as shown. Two configurations are possible: pin support at A and downward triangular load on AB or pin at B and upward load on AB. Which has the larger maximum moment? First, find all support reactions; then plot axial force (N), shear (V), and moment (M) diagrams for ABC only and label all critical N, V, and M values. Label the distance to points where any critical ordinates are zero.
A two-axle carriage that is part of an over head traveling crane in a testing laboratory moves slowly across a simple beam AB (sec figure). The load transmitted to the beam from the front axle is 2200 lb and from the rear axle is 3800 lb. The weight of the beam itself may be disregarded. Determine the minimum required section modulus S for the beam if the allowable bending stress is 17,0 ksi, the length of the beam is 18 ft, and the wheelbase of the carriage is 5 ft. Select the most economical I-beam (S shape) from Table F-2(a), Appendix F.
-3 The deflection curve for a simple beam AB (see figure) is given by v=q0x360LEI(7L410L2x2+3x4) Describe the load acting on the beam.
A beam ABCD with a vertical arm CE is supported as a simple beam at .1 and D (see figure). 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. The tensile force in the cable is 1800 lb. Draw the shear-Force and bending-moment diagrams for beam A BCD. Note: Disregard the widths of the beam and vertical arm and use centerline dimensions when making calculations. 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).