16CHAPTER 1STRESSFUNDAMENTALPROBLEMSFi-1Determine the resultant internalnormal force.Fi-4.Determine theresultant internal normal force,shearforce,andbendingmomentatpointCinthebeamshearforce,andbendingmomentatpointCinthebeam.10kN/m10kN60kN-mKJCABmBm2m1m-F1-4F1-1F1-5.Determine the resultant internal normal force,shearforce,and bendingmomentatpoint Cinthebeam.F1-2.Determine the resultant internal normal force.shearforce,and bendingmomentatpointCinthebeam300 Ib/ft200 N/mC-B100N/m343ft4FF1-5C1.5m1.5mF1-2Fi-6.Determine the resultant internal normal force.shearforce,and bendingmomentatpointCinthebeam.Fi-3.Determine the resultant internal normal force,5kN/mshear force, and bending moment at point Cin the beam.AC20 kN/m3mC-2mFF1-3F1-6
16 Chapter 1 Stress 1 F1–1. Determine the resultant internal normal force, shear force, and bending moment at point C in the beam. A B C 2 m 2 1 m m 60 kN m 1 m 10 kN F1–1 F1–2. Determine the resultant internal normal force, shear force, and bending moment at point C in the beam. A B C 1.5 m 1.5 m 100 N/m 200 N/m F1–2 F1–3. Determine the resultant internal normal force, shear force, and bending moment at point C in the beam. A B 2 m 2 m 2 m C 20 kN/m F1–3 F1–4. Determine the resultant internal normal force, shear force, and bending moment at point C in the beam. A C B 3 m 3 m 10 kN/m F1–4 F1–5. Determine the resultant internal normal force, shear force, and bending moment at point C in the beam. 300 lb/ft 3 ft 3 ft 3 ft A C B F1–5 F1–6. Determine the resultant internal normal force, shear force, and bending moment at point C in the beam. 3 m 2 m 2 m 2 m A D C B 5 kN/m F1–6 FUNDAMENTAL PROBLEMS
171.2EQUILIBRIUMOFADEFORMABLEBODYPROBLEMS1-1.The shaft is supported bya smooth thrust bearing atB*1-4.The shaft is supported bya smooth thrust bearingand a journal bearing at C.Determine the resultant internalat A and a smooth journal bearing at B.Determine theloadingsactingonthecrosssectionatE.resultant internal loadings acting on the cross section at C600 N/mBE4ft4ft4ft4ft-1m-1m15m400Ib8001b*900 NProb.1-1Prob.1-41-2.Determine the resultant internal normal and shear1-5.Determinetheresultant internal loadings acting onforceinthememberat(a)sectiona-aand(b)sectionb-bthecross section at point B.each of which passes through the centroid A.The 500-lb load60 Ib/ftis applied along the centroidal axis of the member.30500Ib500lbB12ftProb.1-51-6.Determine the resultant internal loadings on thecross sectionatpointD.Prob.1-21-7.Determine the resultant internal loadings at cross1-3.Determine the resultant internal loadings acting onsections at points E and F on the assembly.sectionb-bthroughthecentroidConthebeamm900 Ib /ft2m1.25 kN/mBDE1.5m0.5m0.5m0.5mProb.1-3Probs.1-6/7
1.2 Equilibrium of a Deformable Body 17 1 1–1. The shaft is supported by a smooth thrust bearing at B and a journal bearing at C. Determine the resultant internal loadings acting on the cross section at E. A B E C D 4 ft 400 lb 800 lb 4 ft 4 ft 4 ft Prob. 1–1 1–2. Determine the resultant internal normal and shear force in the member at (a) section a–a and (b) section b–b, each of which passes through the centroid A. The 500-lb load is applied along the centroidal axis of the member. 30 A b a b a 500 lb 500 lb Prob. 1–2 1–3. Determine the resultant internal loadings acting on section b–b through the centroid C on the beam. 30 6 ft 3 ft 60 b b 900 lb/ft C A B Prob. 1–3 *1–4. The shaft is supported by a smooth thrust bearing at A and a smooth journal bearing at B. Determine the resultant internal loadings acting on the cross section at C. A B D C 900 N 1.5 m 600 N/m 1 m 1 m 1 m 1.5 m Prob. 1–4 1–5. Determine the resultant internal loadings acting on the cross section at point B. A C 3 ft 12 ft 60 lb/ft B Prob. 1–5 1–6. Determine the resultant internal loadings on the cross section at point D. 1–7. Determine the resultant internal loadings at cross sections at points E and F on the assembly. 2 m D 0.5 m 0.5 m 1.25 kN/m 0.5 m 1.5 m 1 m E B C A F Probs. 1–6/7 PROBLEMS
18CHAPTER 1STRESS*1-8.The beam supports the distributed load shown.1-11.Determine theresultant internal loadings acting onDetermine the resultant internal loadings acting on the crossthe cross sections at points D and E of the frame.sectionatpointC.Assumethereactionsat the*1-12.Determine the resultant internal loadings actingsupports A and B are vertical.onthecross sectionsatpointsFand Gof theframe.1-9.The beam supports the distributed load shown.Determine the resultant internal loadings acting on the crosssection atpoint D.Assumethereactions atthe supports Aand Barevertical.4ft4 kN/m751b/ftDBLE62ft2ft1ft1ft1f30DC+~1.5m3 m1.5m-150 1bProbs.1-8/9Probs.1-11/121-13.Thebladeofthehacksawissubjectedtoapretension1-10.TheboomDFof the jibcraneandthecolumnDEforce of F=100N.Determine the resultant internal loadingshave a uniform weight of 50 Ib/ft.If the supported load isactingonsectiona-athatpassesthroughpointD.300 Ib,determine the resultant internal loadings in the craneon cross sectionsatpointsA,B,and C.1-14.Thebladeofthehacksawissubjectedtoapretensionforce ofF=100N.Determine the resultant internal loadingsacting on section b-b that passes through point D.DBOA2ft8ftfta5ft225mm30%6300 1b7ft150mmEProbs.1-13/14Prob.1-10
18 Chapter 1 Stress 1 *1–8. The beam supports the distributed load shown. Determine the resultant internal loadings acting on the cross section at point C. Assume the reactions at the supports A and B are vertical. 1–9. The beam supports the distributed load shown. Determine the resultant internal loadings acting on the cross section at point D. Assume the reactions at the supports A and B are vertical. 1.5 m 3 m C D A B 4 kN/m 1.5 m Probs. 1–8/9 1–10. The boom DF of the jib crane and the column DE have a uniform weight of 50 lb>ft. If the supported load is 300 lb, determine the resultant internal loadings in the crane on cross sections at points A, B, and C. 5 ft 7 ft C D F E B A 300 lb 2 ft 8 ft 3 ft Prob. 1–10 1–11. Determine the resultant internal loadings acting on the cross sections at points D and E of the frame. *1–12. Determine the resultant internal loadings acting on the cross sections at points F and G of the frame. 4 ft A D 2 ft C B 75 lb/ft 1 ft 150 lb 1 ft E 30 2 ft 1 ft G 1 ft F Probs. 1–11/12 1–13. The blade of the hacksaw is subjected to a pretension force of F = 100 N. Determine the resultant internal loadings acting on section a–a that passes through point D. 1–14. The blade of the hacksaw is subjected to a pretension force of F = 100 N. Determine the resultant internal loadings acting on section b–b that passes through point D. A B C D F F a b b a 30 225 mm 150 mm E Probs. 1–13/14
191.2EQUILIBRIUMOFADEFORMABLEBODY1-15.The beam supports the triangular distributed load1-18.The shaft is supported at its ends by two bearingsshown. Determine the resultant internal loadings on theA and Band is subjected to theforces appliedto thepulleyscross section at point C.Assume the reactions at the supportsfixed to the shaft.Determine the resultant internal loadingsAandBarevertical.actingonthecrosssectionatpointC.The4o0-Nforcesactinthe-zdirectionandthe200-Nand80-Nforcesact inthe*1-16.The beam supports the distributed load shown.+y direction.The journal bearings at A and B exert onlyyDetermine the resultant internal loadings on the crossand z components offorce on the shaft.section at points D and E.Assume the reactions at thesupports A and B are vertical.400mm150mm800 Ib/ft150mmB200mm200mm300mm80NBDEC80N6ft200N6ft6ft4.5ft/4.5ft200 NProbs.1-15/16400N400NProb.1-181-17.The shaft is supported at its ends by two bearingsA and Band is subjected to the forces applied to the pulleys1-19. The hand crank that is used in a press has thefixed to the shaft.Determine the resultant internal loadingsdimensionsshown.Determinetheresultantinternalactingonthecross sectionatpointD.The400-Nforcesactinloadingsacting on the cross section atpointAif a verticalthe -z direction and the 200-N and 80-N forces act in the +yforceof5oIbisappliedtothehandleasshown.Assumethedirection. The journal bearings at A and B exert only y and zcrank is fixed to the shaftatB.componentsofforceontheshaft.309400mm150mm150mmR7m200mm200mm300mm80N7in.80N200NY200N400N￥50b400NProb.1-17Prob.1-19
1.2 Equilibrium of a Deformable Body 19 1 1–15. The beam supports the triangular distributed load shown. Determine the resultant internal loadings on the cross section at point C. Assume the reactions at the supports A and B are vertical. *1–16. The beam supports the distributed load shown. Determine the resultant internal loadings on the cross section at points D and E. Assume the reactions at the supports A and B are vertical. 6 ft 6 ft C A B 4.5 ft 800 lb/ft 6 ft 4.5 ft D E Probs. 1–15/16 1–17. The shaft is supported at its ends by two bearings A and B and is subjected to the forces applied to the pulleys fixed to the shaft. Determine the resultant internal loadings acting on the cross section at point D. The 400-N forces act in the -z direction and the 200-N and 80-N forces act in the +y direction. The journal bearings at A and B exert only y and z components of force on the shaft. B C 200 mm 200 mm 300 mm A 200 N 200 N 400 N 400 N 150 mm 400 mm 80 N 80 N z x y 150 mm D Prob. 1–17 1–18. The shaft is supported at its ends by two bearings A and B and is subjected to the forces applied to the pulleys fixed to the shaft. Determine the resultant internal loadings acting on the cross section at point C. The 400-N forces act in the –z direction and the 200-N and 80-N forces act in the +y direction. The journal bearings at A and B exert only y and z components of force on the shaft. B C 200 mm 200 mm 300 mm A 200 N 200 N 400 N 400 N 150 mm 400 mm 80 N 80 N z x y 150 mm D Prob. 1–18 1–19. The hand crank that is used in a press has the dimensions shown. Determine the resultant internal loadings acting on the cross section at point A if a vertical force of 50 lb is applied to the handle as shown. Assume the crank is fixed to the shaft at B. B 30 z x y 50 lb 3 in. 7 in. 7 in. A Prob. 1–19
20CHAPTER 1STRESS*1-20.Determine the resultant internal loadings acting on*1-24.Determine the resultant internal loadings actingthe cross section at point C in the beam. The load D has aon the cross section at point C.The cooling unit has a totalmassof300kgand isbeinghoistedbythemotorMwithweight of 52kipand a center of gravity atG.constantvelocity.1-21.Determinethe resultantinternal loadings actingonthe cross section at point E.The load D has a mass of 300 kgand is being hoisted by the motorM with constantvelocityF2n00.1m0.1 mTCAB3030°DF0.2ft10QBACC23 ft3 ftProbs.1-20/21C1-22.Themetalstudpunchissubjectedtoaforceof120NonProb.1-24the handleDeterminethemaonitudeof thereactiveforceatthepinAand intheshort linkBC.Also,determinetheresultantinternal loadings acting on thecross section at point D1-23.Determinetheresultantinternal loadingsactingonthecross section atpoint E of thehandlearm,and on the cross1-25.Determine the resultant internal loadings acting onsectionoftheshortlinkBCthe cross section at points B and C of the curved member.120N50mm100mm50mm60100mm30°300mm2.ft500lb200mmBProbs.1-22/23Prob.1-25
20 Chapter 1 Stress 1 *1–20. Determine the resultant internal loadings acting on the cross section at point C in the beam. The load D has a mass of 300 kg and is being hoisted by the motor M with constant velocity. 1–21. Determine the resultant internal loadings acting on the cross section at point E. The load D has a mass of 300 kg and is being hoisted by the motor M with constant velocity. M 2 m B E C D A 0.1 m 2 m 2 m 1.5 m 0.1 m 1 m Probs. 1–20/21 1–22. The metal stud punch is subjected to a force of 120 N on the handle. Determine the magnitude of the reactive force at the pin A and in the short link BC. Also, determine the resultant internal loadings acting on the cross section at point D. 1–23. Determine the resultant internal loadings acting on the cross section at point E of the handle arm, and on the cross section of the short link BC. 60 50 mm 100 mm 200 mm 300 mm B C D 120 N 50 mm 100 mm E 30 A Probs. 1–22/23 *1–24. Determine the resultant internal loadings acting on the cross section at point C. The cooling unit has a total weight of 52 kip and a center of gravity at G. 3 ft F 3 ft 30 30 0.2 ft G A B E D C Prob. 1–24 1–25. Determine the resultant internal loadings acting on the cross section at points B and C of the curved member. C A B 30 45 2 ft 500 lb 3 4 5 Prob. 1–25