International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
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Chapter 6, Problem 6.7P
The three identical cantilever beams carry vertical loads that are distributed in a different manner. It is known that beam (a) fails because the maximum internal bending moment reaches its critical value when
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Chapter 6 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
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- Using singularity functions, determine the expressions of V (cutting force) and M (deflector moment) on each stretch of the beam schematized below and construct the diagrams of cutting force and deflector moment. Take the z-axis starting with point A and heading toward B. Stretch I: 0 ≤ z < 1; Stretch II: 1 ≤ z < 4; Stretch III: 4 ≤ z ≤ 5.arrow_forwardChapter 4: Practice problems f 1 kN, 2 kN and 3 kN at 1, 2 and 4 m 1. A cantilever beam of length 4 m carries point loads from the fixed end. Construct the shear force and bending moment diagrams for the cantilever. 1m A 1 kN 2m 8 4m 1m 4 kN C + 2. A simply supported beam of length 8 m carries point loads of 4 kN and 6 kN at a distance of 2 m and 4 m from the left end. Construct the shear force and bending moment diagram for the beam. 2m 2 kN 8 m C + 6 kN 2m D 3 kN D 4. Draw the shear force and bending moment diagram for a simply supported beam of length 9 m and carrying a uniformly distributed load of 10 kN/m for a distance of 6 m from the left end. Also calculate the maximum B.M. on the section. 3. A cantilever of length 2.0 m carries a uniformly distributed load of 2 kN/m length over the whole length and a point load of 3 kN at the free end. Draw the S.F. and B.M. diagrams for the cantilever beam. References: [1] A text book of Mechanics of materials by Dr.R.K.Bansal, Laxmi…arrow_forwardDraw the Shear force diagram & Bending moment diagram for the cantilever beam as shown in figure, mark the salient points in the diagram. Neglect the self-weight of the beam, where F1 =30 N, F2=60N, F3 =60 N, F4 =80N, a =3 m, b=1 m, c=5 m, d=4 m The reaction at the fixed support "A" (unit in N)=_____________ Answer for part 1 (ii) Shear force at the point "A" (Unit in N) = ________ Answer for part 2 (iii) Shear force at the point "B" (Unit in N) = ________ Answer for part 3 (iv) Shear force at the point "C" (Unit in N) = ________ Answer for part 4 (v) Shear force at the point "D" (Unit in N) = ________ Answer for part 5 (vi) Shear force at the point "E" (Unit in N) = ________ Answer for part 6 (vii) Bending moment at the point "E"(unit in Nm) = ________________ Answer for part 7 (viii) Bending moment at the point "D"(unit in Nm) = ________________ Answer for part 8 (ix) Bending moment at the point "C"(unit in Nm) = ________________ Answer for part 9 (x) Bending moment…arrow_forward
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- The uniform beam with a mass of 500-kg is subjected to three external loads as shown in the figure. Draw the shear force and bending moment diagramsarrow_forwardSHEAR AND MOMENT DIAGRAM PROBLEM 2 Use the AREA method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 6.9 ft, b = 10.4 ft, c = 5.8 ft, and w = 9.5 kips/ft. Label all significant points on each diagram and identify the maximum moments (both positive and negative) along with their respective locations. Clearly differentiate straight-line and curved portions of the diagrams. Determine the maximum shear force and bending moment in the beam. Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number. The roller at point D indicates that motion is restricted both up and down, and the beam will not lift off the roller. a B W b O D Xarrow_forwardProblems The beam shown supports a load that varies uniformly from 100 N/m at the left end to 200 N/m at the right end. The lengths of the beam segments are d1 = 12 m, d2 = 8 m, and d3 = 4 m. 1. Determine the reaction at A. 2. Determine the reaction at C. 3. Draw a schematic of the standard convention for the meaning of positive shears and bending moments (see Section 8.2). Use your diagram to help you answer 4 And 5. 4. Determine the internal shear at a section passing through point D. 5. Determine the internal bending moment at a section passing through point D.arrow_forward
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