Q2. Figure Q2 shows the free body diagram of a 10 m long beam AD of uniform cross-section, simply supported at locations A and C. A uniformly distributed load of 10 kN/m is applied on the part AB of the beam together with a concentrated load of 20 kN at the end D. 20kN 10KN/m B 4m 4m : 2m Fig.Q2: Structural Beam (d) From the SFD drawn in (b), find the distance from point A to the position between points A and B where there is no shear and determine the bending moment at that position. (e) Write the mathematical expression for shear force Vat section X-X between the points B and C which is at distance x measured from support А.

Q2. Figure Q2 shows the free body diagram of a 10 m long beam AD of uniform cross-section, simply supported at locations A and C. A uniformly distributed load of 10 kN/m is applied on the part AB of the beam together with a concentrated load of 20 kN at the end D. 20kN 10KN/m B 4m 4m : 2m Fig.Q2: Structural Beam (d) From the SFD drawn in (b), find the distance from point A to the position between points A and B where there is no shear and determine the bending moment at that position. (e) Write the mathematical expression for shear force Vat section X-X between the points B and C which is at distance x measured from support А.

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 10.4.12P: Two flat beams AB and CD, lying in horizontal planes, cross at right angles and jointly support a...

See similar textbooks

Similar questions

Two flat beams AB and CD, lying in horizontal planes, cross at right angles and jointly support a vertical load P at their midpoints (see figure). Before the load P is applied, the beams just touch each other. Both beams are made of the same material and have the same widths. Also, the ends of both beams are simply supported. The lengths of beams AB and CD are LABand LCD, respectively. What should be the ratio tABltCDof the thicknesses of the beams if all four reactions arc to be the same?
Find expressions for shear force V and moment M at v = L/2 of beam AB in structure (a). Express V and M in terms of peak load intensity q0and beam length variable L. Repeat for structure (b) but find Fand M at m id-span of member BC.
A C 200 x 17.1 channel section has an angle with equal legs attached as shown; the angle serves as a lintel beam. The combined steel section is subjected to a bending moment M having its vector directed along the z axis, as shown in the figure. The cent roi d C of the combined section is located at distances xtand ycfrom the centroid (C1) of the channel alone. Principal axes yl and yvare also shown in the figure and properties Ix1,Iy1and 0pare given. Find the orientation of the neutral axis and calculate the maximum tensile stress exand maximum compressive stress if the angle is an L 76 x 76 x 6.4 section and M = 3.5 kN - m. Use the following properties for principal axes for the combined section:/^, = 18.49 X 106 nrai4,/;| = 1.602 X 106 mm4, ep= 7.448*(CW),_r£ = 10.70 mm,andvf= 24.07 mm.
Cantilever beam AB carries an upward uniform load of intensity q1from x = 0 to L/2 (see Fig. a) and a downward uniform load of intensity q from x = L/2 to L. Find q1in terms of q if the resulting moment at A is zero. Draw V and M diagrams for the case of both q and qtas applied loadings. Repeat part (a) for the case of an upward triangularly distributed load with peak intensity q0(see Fig. b). For part (b), find q0, instead of q1
A beam ABCDEF is 10 m long and is supported at points B and E which are 2 m and 9 m respectively from A towards the left-hand end. The beam carries a concentrated load of 10kN at A, a concentrated load of W kN at C, which is 5 m from A, and a concentrated load of 16 kN at D which is 4 m from point F. In addition a beam carries a uniformly distributed load of 4 kN/m from A to C and uniformly distributed load of 3 kN/m from D to F. 1.Calculate the position of the other point of contraflexure.
As shown in Figure Q3, a beam ABC is fixed at A and roller supported at C. The beam is used to support a uniform load, w = 5 kN/m along span AB and a couple, MB = 2 kN.m at B. C)Determine the slope and deflection at B in terms of EI.
A 5-m simply supported beam AB supports a trapezoidally distributed load.The intensity of the load varies linearly from 50 kN/m at support A to 25 kN/m at support B. What is the reaction at support A in kN?
A beam 8.5-m long is fixed at the left end and supported by a roller at a point 1.5-m from the right end. There is an internal hinge at a point 2.5m from the fixed end. The beam is loaded by a clockwise couple equal to 50 kN-m acting at a point 1-m to the right of the fixed end, a downward concentrated vertical load equal to 12- kN acting at a point 4.5-m to the right of the fixed end and a downward uniform vertical load equal to 5-kN/m starting at a point 4.5m from the fixed end up to the right end of the beam. Draw the shear and moment diagram of the beam .
A simply supported beam 6 m in span is supported at supports A and B. The beam is acted upon a concentrated load of 100 KN at point C which is 2 m from support A. Also a udl of 20 KN/m is spread from point D to point B, where point D is at a distance of 1 m from point C Find S.F. and B.M. at all points and draw S.F.D. and B.M.D.
A uniform wooden beam AB 130 cm long and weighing 1.30 N rests on two sharp edges supports C and D placed 15 cm from each end of the beam respectively. A 0.3 N weight hangs from a thread 20 cm from A and a 0.85 N weight hangs similarly 45 cm from B. find the reactions at the supports
A cantilevered beam is loaded with a uniformly distributed load as shown below. If w1 = 2000 lb/ft, what is the value of the moment (ft-lb) at x = 2 ft?(NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE)
A beam of size 150 mm wide, 250 mm deep carries a uniformly distributed load of w kN/m over entire span of 4 m. A concentrated load 1 kN is acting at a distance of 1.2 m from the left support. If the bending stress at a section 1.8 m from the left support is not to exceed3.25 N/mm2 find the load w.