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engineering
civil engineering
Engineering Mechanics Statics 11 Edition Russell C. Hibbeler - Solutions
The window is held open by chain AB determine the length of the chain, and express the 50-lb force acting at A along the chain as a Cartesian vector and determine its coordinate directionangles.
Given the three vector A, B, and D, show that A ∙ (B + D) = (A ∙ B) + (A ∙ D).
Determine the angle ? between the tails of the two vectors.
Determine the angle ? between the tails of the two vectors.
Determine the magnitude of the projected components of r1 along r=, and the projection of r2 alongr1.
Determine the angle ? between the y axis of the pole and the wire AB.
The force F = {25i ? 50j + 10k} N acts at the end of the pipe assembly. Determine the magnitude of the components F1 and F2 which act along the axis of AB and performance to it.
Determine the angle ? between the sides of the triangular plate.
Determine the length of the side BC of the triangular plate. Solve the problem by finding the magnitude of r BC; then check the result by the first finding ?, r AB and r AC and then use the cosine law.
Determine the components of F that act along rod AC and perpendicular to it. Point B is located at the midpoint of therod.
Determine the components of F that act along rod AC and perpendicular to it. Point B is located 3m along the rod from endC.
The clamp is used in a jig. If the vertical force acting in the bolt is F = {-500k} N, determine the magnitudes of the components F1 and F2 which acts along the OA axis and perpendicular toit.
Determine the projection of the force F along thepole.
Determine the projected components to the 80-N force acting along the axis AB of thepipe.
Cable OA is used to support columns OB. Determine the angle ? it makes with beam OC.
Cable OA is used to support columns OB. Determine the angle ? it makes with beam OD.
The force F acts at the end A of the pipe assembly. Determine the magnitudes of the components F1 and F2 which acts along the axis of AB and perpendicular toit.
Two cables exert forces on the pipe. Determine the magnitude of the projected components of F1 along the line of action ofF2.
Determine the angle ? between the two cables attached to the pipe.
Determine the angle ? between cables AB and AC.
If F has a magnitude of 55 lb, determine the magnitude of its projected component acting along the x axis and along cableAC.
Determine the angle ? between the edges of the sheet-metal bracket..
The cables each exert a force of 400 N on the post. Determine the magnitude of the projected component of F1 along the line of action of F2.
Round of the following numbers to three significant Figures:(a) 4.65735 m,(b) 55.578 s,(c) 4555 N,(d) 2768 kg.
What is the weight in Newton’s of an object that has a mass of:(a) 10 kg,(b) 0.5 g,(c) 4.50Mg. Express the result to three significant figures. Use an appropriate prefix.
Evaluate each of the following to three significant figures and express each answer in SI units using an appropriate prefix:(a) 354 mg (45 km)/ (0.035 6 k N),(b) (.004 53 Mg) (201 ms),(c) 435 MN/ 23.2 mm.
Convert each of the following and express the answer using an appropriate prefix:(a) 175 lb/ft3 to kN/m3,(b) 6 ft/h to mm/s, and(c) 835 lb ∙ ft to k N ∙ m
Convert each of the following to three significant figures..(a) 20 lb ∙ ft to N ∙ m,.(b) 450 lb/ft3 to kN/m3, and.(c) 15 ft/h to mm/s.
If an abject has a mass of 40 slugs, determine its mass in kilograms.
Water has density of 1.94slug/ft3. What is the density expressed in SI units? Express the answer to three significant figures.
Two parties have a mass of 8 kg and 12 kg, respectively. If they are 800 mm apart, determine the force of gravity acting between them. Compare this result with the weight of each particle.
Determine the mass of an object that has a weight of(a) 20 m N,(b) 150 k N,(c) 60 MN. Express the answer to three significant figures.
If a man weight 155 lb on earth, specify(a) His mass in slugs,(b) His mass in kilograms, and(c) His weight in Newton’s. If the man is on the moon, where the acceleration due to gravity is gm = 5.30 ft/s2, determine(d) His weight in pounds, and(e) His mass in kilograms.
Using the base unit of the SI system, show that Eq. 1-2 is a dimensionally homogenous equation which gives F in Newton’s. Determine the three significant figures the gravitational force acting between two spheres that are touching each other. The mass of each sphere is 200 kg and the radius is
Wood has a density of 4.70slug/ft3. What is its density expressed in SI units?
Evaluate each of the following to three significant figures and express the answer in SI units using an appropriate prefix:(a) (0.631 Mm)/ (8.60kg) 2,(b) (35 mm) 2 (48 kg) 3.
Represents each of the following quantities in the correct SI form using an appropriate prefix:(a) 0.000431 kg,(b) 35.3(103) N,(c) 0.00532 km.
Represent each of the following combination of units in the correct SI form using an appropriate prefix:(a) m/ms,(b) μ k m,(c) k s /mg, and(d) k m ∙ μ N.
If a car is travelling at 55mi/h, determine its speed in kilometers per hour and per second.
Evaluate each of the following and express with an appropriate prefix:(a) (430 kg) 2,(b) (0.002 mg) 2, and(c) (230 m) 3.
A rocket has a mass of 250(103) slugs on earth. Specify(a) Its mass in SI units, and(b) Its weight in SI units. If the rocket is on the moon, where the acceleration due to gravity is gm = 5.30 ft/s2, determine to three significant figures,(c) Its weight in SI units, and(d) Its mass in SI units.
Represent each of the following combination of units in the correct SI form:(a) k N/ μ s,(b) Mg/m N, and(c) MN/ (kg ∙ ms).
The Pascal (Pa) is actually a very small unit of pressure. To show this, convert 1 Pa = 1 N/m2 to lb/ft2. Atmospheric pressure at sea level is 14.7 lb/in2. How many Pascals is this?
Determine the force in each member of the truss and state if the members are in tension or compression. Set P1 = 0, P2 = 1000lb. SHAPE * MERGEFORMAT
Determine the force in each member of the truss and state if the members are in tension or compression. Set P1 = 800lb and P2 = 400lb.
Determine the force on each member of the truss and state if the members are in tension or compress. Set P1 = 500lb and P2 =100lb.
The truss, used to support a balcony, is subjected to the loading shown. Approximate each joint as a pin and determine the force in each member. State whether the members are in tension or compression, set P1 = 600lb, P2 = 400lb.
The truss, used to support a balcony, is subjected to the loading shown. Approximate each joint as a pin and determine the force in each member. State whether the members are in tension or compression, set P1 = 800 lb, P2 = 0.
Determine the force in each member of the truss and state if the members are in tension or compression. Assume each joint as a pint, set P =4kN.
Assume that each member of the truss is made of steel having a mass per length of 4kg/m. Set P = 0, determine the force in each member, and indicate if the members are in tension or compression. Neglect the weight of the gusset plates and assume each joint is a pin. Solve the problem by assuming
Determine the force in each member of the truss and state if the members are in tension orcompression.
Determine the force in each member of the truss and state if the members are in tension or compression. Set P1 = 2kN and P2 = 1.5kN.
Determine the force in each member of the truss and state if the members are in tension or compression. Set P1 = P2 = 4kN.
The column is fixed to the floor and is subjected to the loads shown. Determine the internal normal force, shear force, and moment at points A and B.
The beam Ab will fail if the maximum internal moment at D reaches 800 N ? m or the normal force in member BC becomes 1500 N. Determine the largest load w it can support.
The 15-ft ladder has a uniform weight of 80lb and rests against the smooth wall at B. If the coefficient of static friction at A is ?A = 0.4, determine if the ladder will slip. Take ? = 60o.
The cable is subjected to the triangular loading, if the slope of the cable at point O is zero, determine the equation of the curve y = f(x) which defines the cable shape OB, and the maximum tension developed in thecable.
Determine the shear force and moment acting at a section passing through point C in thebeam.
The beam DF of the jib crane and the column DE has a uniform weight of 50lb/ft. If the hoist and load weigh 300lb, determine the normal force, shear force, and moment in the crane at sections passing through points A, B, andC.
Determine the internal normal force, shear force, and moment acting at point C and at point D, which is coated just to the right of the roller support atB.
Determine the normal force, shear force, and moment at a section passing through point D of the two-memberframe.
Determine the normal force, shear force and moment at a section passing through point E of the two-memberframe.
The strong back or lifting beam is used for materials handling. If the suspended load has a weight of 2kN and a center of gravity of G, determine the placement d of the pad eyes on the top of the beam so that there is no moment developed within the length AB of the beam. The lifting bridle has two
Determine the normal force, shear force and moment acting at a section passing through point C.
Determine the normal force, shear force, and moment acting at a section passing through pointD.
Determine the normal force, shear force, and moment at a section passing through point C. Take P = 8kN.
The rod is subjected to the forces shown. Determine the internal normal force at points A, B, andC.
The cable will fail when subjected to a tension of 2kN. Determine the largest vertical load P the frame will support and calculate the internal normal force, shear force, and moment at a section passing through point C for thisloading.
Determine the internal normal force, shear force and bending moment in the beam at pointB.
Determine the ratio of a/b for which the shear force will be zero at the midpoint C of thebeam.
Determiner the internal normal force, shears force, and bending moment at pointC.
The jack AB is used to straighten the bent beam DE using the arrangement shown. If the axial compressive force in the jack is 5000lb, determine the internal moment developed at point C of the top beam. Neglect the weight of thebeams.
The jack AB is used to straighten the bent beam DE using the arrangement shown. If the axial compressive force in the jack is 5000lb, determine the internal moment developed at point C of the top beam. Neglect the weight of the beams. Solve Problem assuming that each beam has a uniform weight
Determine the normal force, shear force, and moment in the beam at sections passing through points D and E. Point E is just to the right of the 3-kipload.
Determine the normal force shear force and moment at a section passing through point D of the two memberframe.
Determine the normal force shear force and moment at sections passing through points E and F. member BC is pinned at B and there is a smooth slot in it at C. The pin a C is fixed to memberCD.
Determine the internal normal force, shear force and the moment at points C andD.
The forces act on the shaft shown. Determine the internal normal force at points A, B, andC.
Determine the normal force, shear force and moment acting at sections passing through points B and C on the curvedrod.
The cantilevered rack is used to support each end of a smooth pipe that has a total weight of 300lb. Determine the normal force, shear force, and moment that act in the arm at its fixed support A along a verticalsection.
Determine the normal force, shear force, and moment at a section passing through point D of the two-memberframe.
Determine the internal normal force, shear, force, and bending moment in the beam at points D and E. Point E is just to the right of the 4-kip load. Assume A is a roller support, the splice at B is a pin, and C is a fixedsupport.
Determine the internal normal force shear force and bending moment at points E and F of theframe.
Draw the shear and moment diagrams for the beam (a) In terms of the parameters shown; (b) Set P = 800 lb, a = 5ft, I =12ft.
Determine the distance a as a fraction of the beam?s length L for locating roller support so that the moment in the beam at B is zero.
The semi circular arch is subjected to a uniform distributed load along its axis of w0 per unit length determine the internal normal force, shear force, and moment in the arch at ? = 45o.
Determine the x, y, z components of internal loading at a section passing through point C in the pipe assembly. Neglect the weight of the pipe. Take F1 = {350j ? 400k} lb and F2 = {150i ? 300k} lb.
Determine the x, y, z components of internal loading at a section passing through point C in the pipe assembly. Neglect the weight of the pipe. Take F1 = {?80j ? 200j ? 300k} lb and F2 = {250i ?150j ? 200k} lb.
The shaft is supported by the two smooth bearings A and B. The four pulleys attached to the shaft are used to transmit power to adjacent machinery. If the torques applied to the pulleys is as shown determine the internal torques at points C, D, andE.
Determine the x, y, z components of force and moment at point C in the pipe assembly. Neglect the weight of the pipe. The load acting at (0, 3, 5 ft, 3ft) is F1 = [?24j ? 10k] lb and M = [? 30k] lb ? ft and at point (0, 3, 5 ft, 0) F2 = [?80i] lb.
Determine the x, y, z components of force and moment at point C in the pipe assembly. Neglect the weight of the pipe. Take F1 = [350i ? 400j] lb and F2 = [?300j + 150k] lb.
Draw the shear and moment diagrams for the beam? (a) In terms of the parameters shown; (b) Set P = 600lb, a = 5 ft, b = 7ft.
Draw the shear and moment diagrams for the cantilevered beam.
The suspender bar supports the 600-lb engine draw the shear and moment diagrams for the bar.
Draw the shear and moment diagrams for the beam (a) In terms of the parameters shown; (b) Set M0 = 500 N ? m, L = 8m.
If L = 9m, the beam will fail when the maximum shear force is V max = 5kN or the maximum bending moment is M max = 3kN ∙ m. Determine the magnitude M0 of the largest couple moments it will support.
The shaft is supported by a thrust bearing at A and a journal bearing at B. If L = 10ft the shaft will fail when the maximum moments is M max = 5 kip-ft. Determine the largest uniform distributed load w the shaft willsupport.
Draw the shear and moment diagrams for thebeam.
Draw the shear and bending-moment diagrams for thebeam.
The shaft is supported by a journal bearing at A and a thrust bearing at B. Determine the normal force, shear force, and moment at a section passing through (a) Point C, which is just to the right of the bearing at A, and (b) Point D, which is just to the left of the 3000-lbforce.
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