Answer: If L = 9 m, the beam will fail when the maximum

Determine the shear force and moment at points C and D.

Determine the internal normal force and shear force, and the bending moment in the beam at points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load.

Two beams are attached to the column such that structural connections transmit the loads shown. Determine the internal normal force, shear force, and moment acting in the column at a section passing horizontally through point A.

The beam weighs 280 lb>ft. Determine the internal normal force, shear force, and moment at point C.

The pliers are used to grip the tube at B. If a force of 20 lb is applied to the handles, determine the internal shear force and moment a point C. Assume the jaws of the pliers exert only normal forces on the tube.

Determine the distance a as a fraction of the beam’s length L for locating the roller support so that the moment in the beam at B is zero.

Determine the internal shear force and moment acting at point C in the beam

Determine the internal shear force and moment acting at point C in the beam.

Determine the normal force, shear force, and moment at a section passing through point C. Take P = 8 kN.

The cable will fail when subjected to a tension of 2 kN. 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 this loading.

Determine the internal normal force, shear force, and moment at points C and D of the beam.

Determine the distance a between the bearings in terms of the shaft’s length L so that the moment in the symmetric shaft is zero at its center.

Determine the internal normal force, shear force, and moment in the beam at sections passing through points D and E. Point D is located just to the left of the 5-kip load.

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-lb force.

Determine the internal normal force, shear force, and moment at point C.

Determine the internal normal force, shear force, and moment at point C of the beam.

The cantilevered rack is used to support each end of a smooth pipe that has a total weight of 300 lb. Determine the normal force, shear force, and moment that act in the arm at its fixed support A along a vertical section.

Determine the internal normal force, shear force, and the moment at points C and D.

Determine the internal normal force, shear force, and moment at point C.

Rod AB is fixed to a smooth collar D, which slides freely along the vertical guide. Determine the internal normal force, shear force, and moment at point C, which is located just to the left of the 60-lb concentrated load.

Determine the internal normal force, shear force, and moment at points E and F of the compound beam. Point E is located just to the left of 800 N force.

Determine the internal normal force, shear force, and moment at points D and E in the overhang beam. Point D is located just to the left of the roller support at B, where the couple moment acts.

Determine the internal normal force, shear force, and moment at point C.

Determine the ratio of a/b for which the shear force will be zero at the midpoint C of the beam.

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-kip load.

Determine the internal normal force, shear force, and bending moment at point C.

Determine the internal normal force, shear force, and moment at point C.

Determine the internal normal force, shear force, and moment at points C and D in the simply supported beam. Point D is located just to the left of the 10-kN concentrated load.

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 point D.

Determine the internal normal force, shear force, and moment acting at points D and E of the frame.

Determine the internal normal force, shear force, and moment at point D.

Determine the internal normal force, shear force, and moment at point D of the two-member frame.

Determine the internal normal force, shear force, and moment at point E.

The strongback or lifting beam is used for materials handling. If the suspended load has a weight of 2 kN and a center of gravity of G, determine the placement d of the padeyes 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 legs that are positioned at \(45^{\circ}\), as shown.

Determine the internal normal force, shear force, and moment acting at points B and C on the curved rod.

Determine the internal normal force, shear force, and moment at point D of the two-member frame.

Determine the internal normal force, shear force, and moment at point E of the two-member frame.

The distributed loading \(w=w_{0} \sin \theta\), measured per unit length, acts on the curved rod. Determine the internal normal force, shear force, and moment in the rod at \(\theta=45^{\circ}\).

Solve Prob. 7–39 for \(\theta=120^{\circ}\).

Determine the x, y, z components of force and moment at point C in the pipe assembly. Neglect the weight of the pipe. Take \(F_{1}\) = 5350i - 400j6 lb and \(F_{2}\) = 5-300j + 150k6 lb.

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, 3 ft) is \(F_{1}\) = {-24i - 10k} lb and M = {-30k} lb \(\cdot\) ft and at point (0, 3.5 ft, 0) \(F_{2}\) = {-80i} lb.

Determine the x, y, z components of internal loading at a section passing through point B in the pipe assembly. Neglect the weight of the pipe. Take \(F_{1}\) = 5200i - 100j - 400k6N and \(F_{2}\) = 5300i - 500k6 N.

Determine the x, y, z components of internal loading at a section passing through point B in the pipe assembly. Neglect the weight of the pipe. Take \(F_{1}\) = 5100i - 200j - 300k6 N and \(F_{2}\) = 5100i + 500j6N.

Draw the shear and moment diagrams for the shaft (a) in terms of the parameters shown; (b) set P = 9 kN, a = 2 m, L = 6 m. There is a thrust bearing at A and a journal bearing at B.

Draw the shear and moment diagrams for the beam (a) in terms of the parameters shown; (b) set P = 800 lb, a = 5 ft, L = 12 ft.

Draw the shear and moment diagrams for the beam (a) in terms of the parameters shown; (b) set P = 600 lb, a = 5 ft, b = 7 ft.

Draw the shear and moment diagrams for the cantilevered beam.

Draw the shear and moment diagrams of the beam (a) in terms of the parameters shown; (b) set \(M_{0}\) = 500 N \(\cdot\) m, L = 8 m.

If L = 9 m, the beam will fail when the maximum shear force is \(V_{max}\) = 5 kN or the maximum bending moment is \(M_{max}\) = 2 kN \(\cdot\) m. Determine the magnitude \(M_{0}\) of the largest couple moments it will support.

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam.

Draw the shear and bending-moment diagrams for the beam.

The shaft is supported by a smooth thrust bearing at A and a smooth journal bearing at B. Draw the shear and moment diagrams for the shaft (a) in terms of the parameters shown; (b) set w = 500 lb/ft, L = 10 ft.

Draw the shear and moment diagrams for the beam

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the compound beam. The beam is pin connected at E and F.

Draw the shear and bending-moment diagrams for each of the two segments of the compound beam.

Draw the shear and moment diagrams for the beam.

The shaft is supported by a smooth thrust bearing at A and a smooth journal bearing at B. Draw the shear and moment diagrams for the shaft.

Draw the shear and moment diagrams for the beam.

The beam will fail when the maximum internal moment is \(M_{max}\). Determine the position x of the concentrated force P and its smallest magnitude that will cause failure.

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam.

Determine the internal normal force, shear force, and moment in the curved rod as a function of \(\theta\). The force P acts at the constant angle \(\phi\).

The quarter circular rod lies in the horizontal plane and supports a vertical force P at its end. Determine the magnitudes of the components of the internal shear force, moment, and torque acting in the rod as a function of the angle \(\theta\).

Express the internal shear and moment components acting in the rod as a function of y, where 0 \(\leq\) y \(\leq\) 4 ft.

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam. The support at A offers no resistance to vertical load.

Draw the shear and moment diagrams for the simply-supported beam.

Draw the shear and moment diagrams for the beam. The supports at A and B are a thrust bearing and journal bearing, respectively.

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam

Draw the shear and moment diagrams for the beam

Draw the shear and moment diagrams for the beam

Draw the shear and moment diagrams for the shaft. The support at A is a journal bearing and at B it is a thrust bearing.

Draw the shear and moment diagrams for the beam

The beam consists of three segments pin connected at B and E. Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam. The supports at A and B are a thrust and journal bearing, respectively.

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam.

Draw the shear and moment diagrams for the beam.

The cable supports the three loads shown. Determine the sags \(y_{B}\) and \(y_{D}\) of B and D. Take \(P_{1}\) = 800 N, \(P_{2}\) = 500 N.

The cable supports the three loads shown. Determine the magnitude of \(P_{1}\) if \(P_{2}\) = 600 N and \(y_{B}\) = 3 m. Also find sag \(y_{D}\).

Determine the tension in each segment of the cable and the cable’s total length.

The cable supports the loading shown. Determine the distance \(x_{B}\) the force at B acts from A. Set P = 800 N.

The cable supports the loading shown. Determine the magnitude of the horizontal force P so that \(x_{B}\) = 5 m.

The cable supports the three loads shown. Determine the sags \(y_{B}\) and \(y_{D}\) of points B and D. Take \(P_{1}\) = 400 lb, \(P_{2}\) = 250 lb.

The cable supports the three loads shown. Determine the magnitude of \(P_{1}\) if \(P_{2}\) = 300 lb and \(y_{B}\) = 8 ft. Also find the sag \(y_{D}\).

Determine the force P needed to hold the cable in the position shown, i.e., so segment BC remains horizontal. Also, compute the sag \(y_{B}\) and the maximum tension in the cable.

Determine the maximum uniform loading w, measured in lb/ft, that the cable can support if it is capable of sustaining a maximum tension of 3000 lb before it will break.

The cable is subjected to a uniform loading of w = 250 lb/ft. Determine the maximum and minimum tension in the cable.

The cable AB is subjected to a uniform loading of 200 N/m. If the weight of the cable is neglected and the slope angles at points A and B are \(30^{\circ\)\) and \(60^{\circ\)\), respectively, determine the curve that defines the cable shape and the maximum tension developed in the cable.

If x = 2 ft and the crate weighs 300 lb, which cable segment AB, BC, or CD has the greatest tension? What is this force and what is the sag \(y_{B}\)?

If \(y_{B}\) = 1.5 ft, determine the largest weight of the crate and its placement x so that neither cable segment AB, BC, or CD is subjected to a tension that exceeds 200 lb.

The cable supports a girder which weighs 850 lb/ft. Determine the tension in the cable at points A, B, and C.

The cable is subjected to a uniform loading of w = 200 lb/ft. Determine the maximum and minimum tension in the cable.

If the pipe has a mass per unit length of 1500 kg/m, determine the maximum tension developed in the cable.

If the pipe has a mass per unit length of 1500 kg/m, determine the minimum tension developed in the cable.

Determine the maximum tension developed in the cable if it is subjected to the triangular distributed load.

The cable will break when the maximum tension reaches \(T_{max}\) = 10 kN. Determine the minimum sag h if it supports the uniform distributed load of w = 600 N/m.

The cable is subjected to the parabolic loading \(w=150\left(1-(x / 50)^{2}\right) \mathrm{lb} / \mathrm{ft},\), where x is in ft. Determine the equation y = f(x) which defines the cable shape AB and the maximum tension in the cable.

The power transmission cable weighs 10 lb/ft. If the resultant horizontal force on tower BD is required to be zero, determine the sag h of cable BC.

The power transmission cable weighs 10 lb/ft. If h = 10 ft, determine the resultant horizontal and vertical forces the cables exert on tower BD.

The man picks up the 52-ft chain and holds it just high enough so it is completely off the ground. The chain has points of attachment A and B that are 50 ft apart. If the chain has a weight of 3 lb/ft, and the man weighs 150 lb, determine the force he exerts on the ground. Also, how high h must he lift the chain? Hint: The slopes at A and B are zero.

The cable has a mass of 0.5 kg/m and is 25 m long. Determine the vertical and horizontal components of force it exerts on the top of the tower.

A 50-ft cable is suspended between two points a distance of 15 ft apart and at the same elevation. If the minimum tension in the cable is 200 lb, determine the total weight of the cable and the maximum tension developed in the cable.

Show that the deflection curve of the cable discussed in Example 7.13 reduces to Eq. 4 in Example 7.12 when the hyperbolic cosine function is expanded in terms of a series and only the first two terms are retained. (The answer indicates that the catenary may be replaced by a parabola in the analysis of problems in which the sag is small. In this case, the cable weight is assumed to be uniformly distributed along the horizontal.)

A telephone line (cable) stretches between two points which are 150 ft apart and at the same elevation. The line sags 5 ft and the cable has a weight of 0.3 lb/ft. Determine the length of the cable and the maximum tension in the cable.

A cable has a weight of 2 lb/ft. If it can span 100 ft and has a sag of 12 ft, determine the length of the cable. The ends of the cable are supported from the same elevation.

A cable has a weight of 3 lb/ft and is supported at points that are 500 ft apart and at the same elevation. If it has a length of 600 ft, determine the sag.

A cable has a weight of 5 lb/ft. If it can span 300 ft and has a sag of 15 ft, determine the length of the cable. The ends of the cable are supported at the same elevation.

The 10 kg/m cable is suspended between the supports A and B. If the cable can sustain a maximum tension of 1.5 kN and the maximum sag is 3 m, determine the maximum distance L between the supports.