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structural analysis
Structural Analysis 8th Edition Russell C. Hibbeler - Solutions
Determine the force in each member of the truss. The cross-sectional area of each member is indicated in the figure. E = 29(103) ksi. Assume the members are pin connected at their ends. 8 k 4 ft D 1 in.? 2 in.? 1 in.? 1 in.? 3 ft 2 in.2 1 in.? 6 k A B
Determine the force in member AC of the truss. AE is constant. 3 m 3 m -4 m- 10 kN
Determine the force in member AD of the truss. The cross-sectional area of each member is shown in the figure. Assume the members are pin connected at their ends. Take E = 29(103) ksi. 2 in? 5 k 3 in? 3 in? 3 ft 2 in? 2 in? 3 in? 2 in? 2 in? 4 ft 4 ft 4k
Determine the force in each member of the truss. Assume the members are pin connected at their ends. AE is constant. 20 kN 15 kN 10 kN 'D 2 m 2 m 2 m
Determine the force in each member of the pin-connected truss. AE is constant. 3 ft 2 k 2k 3 ft
Determine the force in member CD of the truss. AE is constant. 4 m 3 m V9 kN l0006 4 m 4 m
Determine the force in member GB of the truss. AE is constant. Н 10 ft A D B 10 ft 10 ft 10ft 10 ft 10 k 15 k 5 k
The cantilevered beam AB is additionally supported using two tie rods. Determine the force in each of these rods. Neglect axial compression and shear in the beam. For the beam, Ib = 200 (106) mm4, and for each tie rod, A = 100 mm2Take E = 200 GPa. TB 4 m 80 kN
Determine the force in member AB, BC and BD which is used in conjunction with the beam to carry the 30-k load. The beam has a moment of inertia of I = 600 in4, the members AB and BC each have a cross-sectional area of 2 in2, and BD has a cross-sectional area of 4 in2. Take E = 29(103) ksi.
The trussed beam supports the uniform distributed loading. If all the truss members have a cross-sectional area of 1.25 in2,determine the force in member BC. Neglect both the depth and axial compression in the beam. Take E = 29(103) ksi for all members. Also, for the beam IAD = 750 in4. Assume
The trussed beam supports a concentrated force of 80 k at its center. Determine the force in each of the three struts and draw the bending-moment diagram for the beam. The struts each have a cross-sectional area of 2 in2. Assume they are pin connected at their end points. Neglect both the depth of
Determine the reactions at support C. EI is constant for both beams. D B A
The beam AB has a moment of inertia I = 475 in4and rests on the smooth supports at its ends. A 0.75-in-diameter rod CD is welded to the center of the beam and to the fixed support at D. If the temperature of the rod is decreased by 150°F, determine the force developed in the rod. The beam and
The contilevered beam is supported at one end by a1/2in.-diameter suspender rod AC and fixed at the other end B. Determine the force in the rod due to a uniform loading of 4 k/ft. E = 29(103) ksi for both the beam and rod. 15 ft 4 k/ft B' IBC = 350 in. 20 ft-
The structural assembly supports the loading shown. Draw the moment diagrams for each of the beams. Take I = 100(106) mm4for the beams and A = 200 mm2for the tie rod. All members are made of steel for which E = 200 GPa. 15 kN - 6 m 4 m 8 kN/m IA - 6 m 2.
Draw the influence line for the reaction at C. Plot numerical values at the peaks. Assume A is a pin and Band Care rollers. EI is constant. Ic IB 6 m 6 m
Draw the influence line for the moment at A. Plot numerical values at the peaks. Assume A is fixed and the support at B is a roller. EI is constant. 3 m 3 m
Draw the influence line for the vertical reaction at B. Plot numerical values at the peaks. Assume A is fixed and the support at B is a roller. EI is constant. 1в ГА 3 m 3 m
Draw the influence line for the shear at C. Plot numerical values every 1.5 m. Assume A is fixed and the support at Bis a roller. EI is constant. SA B 3 m 3 m
Draw the influence line for the reaction at C. Plot the numerical values every 5 ft. EI is constant. B -15 ft- -15 ft-
Sketch the influence line for (a) The moment at E, (b) The reaction at C, and (c) The shear at E. In each case, indicate on a sketch of the beam where a uniform distributed live load should be placed so as to cause a maximum positive value of these functions. Assume the beam is
Sketch the influence line for (a) The vertical reaction at C, (b) The moment at B, and (c) The shear at E.In each case, indicate on a sketch of the beam where a uniform distributed live load should be placed so as to cause a maximum positive value of these functions. Assume the beam
Use the Muller-Breslau principle to sketch the general shape of the influence line for (a) The moment at A and (b) The shear at B. B'
Use the Muller-Breslau principle to sketch the general shape of the influence line for (a) The moment at A and (b) The shear at B. A B
Use the Muller-Breslau principle to sketch the general shape of the influence line for (a) The moment at A and (b) The shear at B. TTI A
Use the Muller-Breslau principle to sketch the general shape of the influence line for (a) The moment at A and (b) The shear at B. A
Determine the vertical displacement of joint A. Each bar is made of steel and has a cross-sectional area of 600 mm2. Take E = 200 GPa. Use the method of virtual work. B. 2 m AGe 1.5 m 1.5 m 5 kN
Determine the vertical displacement of joint A. Each bar is made of steel and has a cross-sectional area of 600 mm2. Take E = 200 GPa. Using Castigliano€™s theorem. B. 2 m Abc 1.5 m 1.5 m 5 kN
Determine the vertical displacement of joint B. For each member A = 400 mm2, E = 200 GPa. Use the method of virtual work. 1.5 m A JO 45 kN 2 m 2 m
Determine the vertical displacement of joint B. For each member A = 400 mm2, E = 200 GPa. Using Castigliano€™s theorem. 1.5 m A JO 45 kN 2 m 2 m
Determine the vertical displacement of joint E. For each member A = 400 mm2, E = 200 GPa. Use the method of virtual work. 1.5 m A JO 45 kN 2 m 2 m
Determine the vertical displacement of joint E. For each member A = 400 mm2, E = 200 GPa. Using Castigliano€™s theorem. 1.5 m A JO 45 kN 2 m 2 m
Determine the vertical displacement of joint D. Use the method of virtual work. AE is constant. Assume the members are pin connected at their ends. 000 4 m 4 m - 15 kN 20 kN 000
Determine the vertical displacement of joint D. Using Castigliano€™s theorem. AE is constant. Assume the members are pin connected at their ends. 000 4 m 4 m - 15 kN 20 kN 000
Determine the vertical displacement of joint D. Use the method of virtual work. AE is constant. Assume the members are pin connected at their ends. 500 lb 300 lb -3 ft -3 ft- 3 ft 600 lb
Determine the vertical displacement of joint D. Using Castigliano€™s theorem. AE is constant. Assume the members are pin connected at their ends. 500 lb 300 lb -3 ft -3 ft- 3 ft 600 lb
Determine the vertical displacement of joint A.The cross-sectional area of each member is indicated in the figure. Assume the members are pin connected at their end points. E = 29 (10)3ksi. Use the method of virtual work. 2 in? 2 in? 2 in? 3 in? 4 ft 3 in? 3 in? 3 in? 4 ft 4 ft 3k 7k
Determine the vertical displacement of joint A.The cross-sectional area of each member is indicated in the figure. Assume the members are pin connected at their end points.E = 29 (10)3ksi. Using Castigliano€™s theorem. 2 in? 2 in? 2 in? 3 in? 4 ft 3 in? 3 in? 3 in? 4 ft 4 ft 3k 7k
Determine the horizontal displacement of joint D. Assume the members are pin connected at their end points. AE is constant. Use the method of virtual work. 8 m 2k D. 6 ft 3k 6 ft
Determine the horizontal displacement of joint D. Assume the members are pin connected at their end points. AE is constant. Using Castigliano€™s theorem. 8 m 2k D. 6 ft 3k 6 ft
Determine the vertical displacement of joint C of the truss. Each member has a cross-sectional area of A = 300 mm2. E = 200. Use the method of virtual work. Н 3 m – 4 m 4 m 4 m 3 kN 3 kN 4 kN
Determine the vertical displacement of joint C of the truss. Each member has a cross-sectional area of A = 300 mm2. E = 200. Using Castigliano€™s theorem. Н 3 m – 4 m 4 m 4 m 3 kN 3 kN 4 kN
Determine the vertical displacement of joint A. Assume the members are pin connected at their end points. Take A = in2 and E = 29 (10)3for each member. Use the method of virtual work. 8 ft AO B - 8 ft 8 ft - 1000 lb 500 lb
Determine the vertical displacement of joint A. Assume the members are pin connected at their end points. Take A = in2 and E = 29 (103) for each member. Using Castigliano€™s theorem. 8 ft AO B - 8 ft 8 ft - 1000 lb 500 lb
Determine the vertical displacement of joint A if members AB and BC experience a temperature increase of ΔT = 200oF. Take A = 2 in2 and E = 29 (103) ksi. Also, α = 6.60 (10-6) /°F. 8 ft B 8 ft 8 ft
Determine the vertical displacement of joint A if member AE is fabricated 0.5 in. too short. 8 ft B 8 ft 8 ft
Determine the displacement of point C and the slope at point B.EI is constant. Use the principle of virtual work. C
Determine the displacement of point C and the slope at point B.EI is constant. Using Castigliano€™s theorem. C
Determine the displacement at point C. EI is constant. Use the method of virtual work. A B_=º
Determine the displacement at point C. EI is constant. Using Castigliano€™s theorem. A B_=º
Determine the slope at point C. EI is constant. Use the method of virtual work. A B
Determine the slope at point C. EI is constant. using Castigliano€™s theorem. A B
Determine the slope at point A. EI is constant. Use the method of virtual work. A B
Determine the slope at point A. EI is constant. using Castigliano€™s theorem. A B
Determine the slope and displacement at point C. Use the method of virtual work. E = 29(103) ksi, I = 800 in4. 6 k C 12 k-ft 6 ft – 6 ft
Determine the slope and displacement at point C. Using Castigliano€™s theorem. E = 29(103) ksi, I = 800 in4. 6 k C 12 k-ft 6 ft – 6 ft
Determine the displacement and slope at point C of the cantilever beam. The moment of inertia of each segment is indicated in the figure. Take E = 29(103). Use the principle of virtual work. A IBc = 200 in. 3 ft LAB = 500 in. 6 ft 50 k-ft
Determine the displacement and slope at point C of the cantilever beam. The moment of inertia of each segment is indicated in the figure. Take E = 29(103). Using Castigliano€™s theorem. A IBc = 200 in. 3 ft LAB = 500 in. 6 ft 50 k-ft
Determine the slope and displacement at point B. EI is constant. Use the method of virtual work. 400 N 300 N/m в 'A 3 m
Determine the slope and displacement at point B. EI is constant. Using Castigliano€™s theorem. 400 N 300 N/m в 'A 3 m
Determine the slope and displacement at point B. Assume the support at A is a pin and C is a roller. Take E = 29(103) ksi, I = 300 in4. Use the method of virtual work. 4 k/ft C De 10 ft 5 ft -
Determine the slope and displacement at point B. Assume the support at A is a pin and C is a roller. Take E = 29(103) ksi, I = 300 in4. Using Castigliano€™s theorem. 4 k/ft C De 10 ft 5 ft -
Determine the slope and displacement at point B. Assume the support at A is a pin and C is a roller. Account for the additional strain energy due to shear. Take E = 29(103) ksi, I = 300 in4, G = 12(103) ksi, and assume AB has a cross-sectional area of A = 7.50 in2. Use the method of virtual work. 4
Determine the displacement of point C. Use the method of virtual work. EI is constant. wo
Determine the displacement of point C. Using Castigliano€™s theorem. wo
Determine the slope and displacement at point A. Assume C is pinned. Use the principle of virtual work. EI is constant. 6 kN/m 3 m
Determine the slope and displacement at point A. Assume C is pinned. Using Castigliano€™s theorem. EI is constant. 6 kN/m 3 m
Determine the displacement at point D. Use the principle of virtual work. EI is constant. 8k 3k/ft ПП A 4 ft- -4 ft -4 ft 4 ft
Determine the displacement at point D. Use Castigliano€™s theorem. EI is constant. 8 k 3 k/ft B – 4 ft - -4 ft -4 ft- 4 ft
Use the method of virtual work and determine the vertical deflection at the rocker support D. EI is constant. 600 lb -10 ft в 8 ft D.
Using Castigliano€™s theorem and determine the vertical deflection at the rocker support D. EI is constant. 600 lb -10 ft в 8 ft D.
The L-shaped frame is made from two segments, each of length Land flexural stiffness EI. If it is subjected to the uniform distributed load, determine the vertical displacement of point B. Use the method of virtual work. A
Determine the vertical deflection at C. The cross-sectional area and moment of inertia of each segment is shown in the figure. Take E = 200 GPa. Assume A is a fixed support. Including the effect of shear and axial strain energy. ABc = 6.5(10°) mm² IBC = 100(10“) mm* 50 kN AAB = 18(10') mm² IAB
The L-shaped frame is made from two segments, each of length Land flexural stiffness EI. If it is subjected to the uniform distributed load, determine the horizontal displacement of the end C. Use the method of virtual work. A
The L-shaped frame is made from two segments, each of length Land flexural stiffness EI. If it is subjected to the uniform distributed load, determine the vertical displacement of point B. Using Castigliano€™s theorem. A
Determine the horizontal displacement of point C. EI is constant. Use the method of virtual work.
Determine the horizontal displacement of point C. EI is constant. Using Castigliano€™s theorem.
Determine the vertical deflection at C. The cross-sectional area and moment of inertia of each segment is shown in the figure. Take E = 200 GPa. Assume A is a fixed support. Use the method of virtual work. ABc = 6.5(10°) mm² IBC = 100(10“) mm* 50 kN AAB = 18(10') mm² IAB = 400(10°) mm“ 3 m
Solve Prob. 9€“51 using Castigliano€™s theorem.Determine the vertical deflection at C. The cross-sectional area and moment of inertia of each segment is shown in the figure. Take E = 200 GPa. Assume A is a fixed support. ABc = 6.5(10°) mm² IBC = 100(10“) mm* 50 kN AAB
Determine the slope at A. Take E = 29(103) ksi. The moment of inertia of each segment of the frame is indicated in the figure. Assume D is a pin support. Use the method of virtual work.
Solve Prob. 9€“54 using Castigliano€™s theorem.Determine the slope at A. Take E = 29(103) ksi. The moment of inertia of each segment of the frame is indicated in the figure. Assume D is a pin support.
Use the method of virtual work and determine the horizontal deflection at C. The cross-sectional area of each member is indicated in the figure. Assume the members are pin connected at their end points. E = 29(103) ksi. 2 k 1 in.? 5 k 1 in.? 4 ft |2 in.? 2 in.? -3 ft
Using Castigliano€™s theorem and determine the horizontal deflection at C. The cross-sectional area of each member is indicated in the figure. Assume the members are pin connected at their end points. E = 29(103) ksi. 2 k 1 in.? 5 k 1 in.? 4 ft |2 in.? 2 in.? -3 ft
Use the method of virtual work and determine the horizontal deflection at C. EI is constant. There is a pin at A. Assume C is a roller and B is a fixed joint. 400 lb/ft 6 ft 10 ft 45°
Using Castigliano€™s theorem and determine the horizontal deflection at C. EI is constant. There is a pin at A. Assume C is a roller and B is a fixed joint. 400 lb/ft 6 ft 10 ft 45°
The frame is subjected to the load of 5 k. Determine the vertical displacement at C. Assume that the members are pin connected at A, C, and E, and fixed connected at the knee joints B and D. EI is constant. Use the method of virtual work. 6 ft 10 ft 8 t- -8 ft -
Solve Prob. 9€“60 using Castigliano€™s theoremThe frame is subjected to the load of 5 k. Determine the vertical displacement at C. Assume that the members are pin connected at A, C, and E, and fixed connected at the knee joints B and D. EI is constant. 6 ft 10 ft 8 t- -8
At what distance a should the bearing supports at A and B be placed so that the displacement at the center of the shaft is equal to the deflection at its ends? The bearings exert only vertical reactions on the shaft. EI is constant. Use the moment-area theorems. P A
Determine the equations of the elastic curve using the coordinates x1and x3, and specify the slope at Band deflection at C. EI is constant. - x2 X1 Xз
Determine the equations of the elastic curve for the beam using the x1 and x2coordinates. Specify the slope at A and the maximum deflection. EI is constant. B L-
The bar is supported by a roller constraint at B, which allows vertical displacement but resists axial load and moment. If the bar is subjected to the loading shown, determine the slope at A and the deflection at C. EI is constant. B
Determine the deflection at B of the bar in Prob. 8€“2. The bar is supported by a roller constraint at B, which allows vertical displacement but resists axial load and moment. If the bar is subjected to the loading shown. A.
Determine the equations of the elastic curve using the coordinates x1and x2, specify the slope and deflection at B. EI is constant. Thc A X2
Determine the equations of the elastic curve using the coordinates x1and x3, and specify the slope and deflection at point B. EI is constant. По X2 ·L -
Determine the maximum deflection between the supports A and B. EI is constant. Use the method of integration. L- 7.
Determine the elastic curve for the simply supported beam using the x coordinate 0 ‰¤ x ‰¤ L/2, Also determine the slope at A and the maximum deflection of the beam. EI is constant. Wo
Determine the equations of the elastic curve using the coordinates x1and x2, and specify the slope at C and displacement at B. EI is constant. X1
Determine the slope at B and the maximum displacement of the beam. Use the moment-area theorems. Take E = 29(103) ksi, I = 500 in4, 15 k B 6 ft 6 ft -
Using the conjugate-beam method determine the slope at B and the maximum displacement of the beam. Take E = 29(103) ksi, I = 500 in4, 15 k B 6 ft 6 ft –
Determine the maximum displacement and the slope at A. EI is constant. Use the moment-area theorems. M,
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