-12 A simple truss made up of three members as shown in Fig. P2.3-12 is loaded at joint B by a load P oss-sectional area of 2 x 10*m“, estimate the horizontal motion of the roller at joint C. Take E= 205 GPa = 20 kN. If the member AC is steel with a %3D P 1.8 m A C 4.8 m-

-12 A simple truss made up of three members as shown in Fig. P2.3-12 is loaded at joint B by a load P oss-sectional area of 2 x 10*m“, estimate the horizontal motion of the roller at joint C. Take E= 205 GPa = 20 kN. If the member AC is steel with a %3D P 1.8 m A C 4.8 m-

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.30P: Space frame A BCD is clamped at A, except it is Free to translate in the .v direction. There is also...

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A hollow circular pipe (see figure} support s a load P that is uniformly distributed around a cap plate at the top of the lower pipe. The inner and outer diameters of the upper and lower parts of the pipe are d1= 50 mm, d2= 60 mm, rf3 = 57 mm, and d1= 64 mm, respectively. Pipe lengths are Lt= 2 m and L, = 3 m. Neglect the self-weight of the pipes. Assume that cap plate thickness is small compared to I, and E,. Let E = 110 MPa. (a) If the tensile stress in the upper part is d = 10.5 MPa. what is load PI Also, what are reactions ft, at the upper support and R-, at the lower support? What is the stress ar(MPa) in the lower part? (b) Find displacement S(mm) at the cap plate. Plot the axial force diagram (AFD) [Ar(.f)] and axial displacement diagram (ADD)[5(.t)]. (c) Add the uniformly distributed load q along the censorial axis of pipe segment 2. Find q (kN/m) so that It, = 0. Assume that load P from part (a) is also applied.
A uniform bar AB of weight W = 25 N is supported by two springs, as shown in the figure. The spring on the left has a stiffness k[= 300 N/m and natural length Lt=250 mm. The corresponding quantities for the spring on the right are k2= 400 N/m and L^ = 200 mm. The distance between the springs is L = 350 mm, and the spring on the right is suspended from a support that is a distance it = SO mm below the point of support for the spring on the left. Neglect the weight of the springs. (a) At what distance x from the left-hand spring (figure part a) should a load P = 18 N be placed in order to bring the bar to a horizontal position? (b) If P is now removed, what new value of k{is required so that the bar (figure part a) will hang in a horizontal position underweight If? (c) If P is removed and kt= 300 N/m. what distance b should spring ktbe moved to the right so that the bar (figure part a) will hang in a horizontal position under weight II"? (d) If the spring on the left is now replaced by two springs in series (kt= 300 N/m, kt) with overall natural length Lt= 250 mm (see figure part b). what value of k; is required so that the bar will hang in a horizontal position under weight IF?
A soccer goal is subjected to gravity loads (in the - z direction, w = 73 N/m for DG, BG, and BC; w = 29 N/m for all other members; see figure) and a force F = 200 N applied eccentrically at the mid-height of member DG. Find reactions at sup ports C, D, and H.
A steel riser pipe hangs from a drill rig located offshore in deep water (see figure). (a) What is the greatest length (meters) it can have without breaking if the pipe is suspended in the air and the ultimate strength (or breaking strength) is 550 MPa? (b) If the same riser pipe hangs from a drill rig at sea, what is the greatest length? (Obtain the weight densities of steel and sea water from Table M, Appendix I. Neglect the effect of buoyant foam casings on the pipe.)
Space frame A BCD is clamped at A, except it is Free to translate in the .v direction. There is also a roller support at D, which is normal to line CDE. A triangularly distributed Force with peak intensity q0 = 75 N/m acts along AB in the positive - direction. Forces Px= 60 N and Pz = = 45 N are applied at joint C, and a concentrated moment My = 120 N . m acts at the mid-span of member BC. (a) Find reactions at supports A and I). (b) Find internal stress resultants N. E’I T, and .11 at the mid-height of segment AB.
A cylindrical brick chimney of height H weighs w = 825 lb/ft of height (see figure). The inner and outer diameters are d1= 3 ft and d2= 4 ft, respectively. The wind pressure against the side of the chimney is p = 10 lb/ft2 of projected area. Determine the maximum height H if there is to be no tension in the brickwork.
A plane frame with a pin support at A and roller supports at C and £ has a cable attached at E. which runs over Frictionless pulleys al D and B (see figure). The cable force is known to be 400 N. There is a pin connection just Lo the left of joint C. (a) Find reactions at supports^, C, and E. (b) Find internal stress, resultants N, V, and M just to the right of joint C. (c) Find resultant force in the pin near C.
Consider the truss shown in the figure, built from three struts attached by three pins. The truss supports a downward force of F = 1,250 N applied at the point B. Assume the mass of the truss is negligible, the pins are frictionless, and the supports at A and C are also frictionless. (a) Assuming ?1 = 25.0° and ?2 = 49.0°, what are nA and nC? (Enter the magnitudes in N.) nA= NnC= N (b) The force any strut applies on a pin must be directed along the length of the strut as a force of tension or compression. What are the directions of the forces that the struts exert on the pins joining them? strut AB on joint A: strut AB on joint B: strut BC on joint B: strut BC on joint C: strut AC on joint A: strut AC on joint C: Find the force of tension or of compression (in N) in each of the three struts. bar AB Nbar BC Nbar AC N
A bar of square cross-section is subjected to point loads of P1, P2, P3, and P4 as shown here. Find the magnitude of the force P3 necessary for the equilibrium, if P1= 130 kN, P2 = 230 kN & P4 = 180 kN. Also, determine the stresses in each section & the net change in the length of steel bar, where the respective side of a square and lengths are d1=55mm, L1=31 cm, d2 = 40mm, L2=38 cm, d3=55 mm & L3 =30 cm. Take E = 185 GPa. The force P3 to make it to equilibrium in kN is The Stress in section 1 in N/mm2 is The Stress in section 2 in N/mm2 is The Stress in section 3 in N/mm2 is and The total change in length in x10-3 mm is
1-A bar of square cross section is subjected to point loads of P1, P2, P3 and P4 as shown here. Find the magnitude of the force P3 necessary for the equilibrium, if P1= 110 kN, P2 = 210 kN & P4 = 190 kN. Also, determine the stresses in each section & the net change in the length of steel bar. square of size a1=50mm, L1=30 cm, size a2 = 40mm, L2=39 cm, size a3=50 mm & L3 =32 cm Take E = 166 GPa. The force P3 to make it to equilibrium in kN is The Stress in section 1 in N/mm2 is The Compressive Stress in section 2 in N/mm2 is The stress in section 3 in N/mm2 is The total change in length in x10-3 mm is
A 25kg wooden plate is held in place by two strings attached to the ceiling and the wall. The string attached to the ceiling makes an angle 40o with the horizontal and the string attached to the wall makes 90o with the wall. Determine the force in each string (DONT ANSWER THIS PROBLEM). ANSWER ONLY THE PROBLEM IN THE ATTCHED IMAGE, COMPLETE SOLUTION PLEASE.
3. A mobile is constructed of light rods, light strings, and beach souvenirs as shown in the figure below. If m4 = 12.0 g, find values (in g) for the following. (Let d1 = 4.50 cm, d2 = 6.10 cm, d3 = 2.40 cm, d4 = 4.40 cm, d5 = 2.90 cm, and d6 = 3.50 cm.) 4. One end of a uniform 3.70-m-long rod of weight Fg is supported by a cable at an angle of ? = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is μs = 0.495. Determine the minimum distance x from point A at which an additional object, also with the same weight Fg, can be hung without causing the rod to slip at point A.