A rigid bar AB is hinged at Á and is supported by a rod at C. The rod is pin- connected at D as shown. Use E= 250 GPa. Neglect the deflection of the bar due to bending. a) If the displacement of the loaded end B of bar is 3 mm, determine the weight W. b) Determine the tensile stress induced in bar CD by the load W= 100 kN. c) If the allowable stress in rod CD is 124 MPa, what weight W can be safely applied? 36 mm ø vod 2m im

A rigid bar AB is hinged at Á and is supported by a rod at C. The rod is pin- connected at D as shown. Use E= 250 GPa. Neglect the deflection of the bar due to bending. a) If the displacement of the loaded end B of bar is 3 mm, determine the weight W. b) Determine the tensile stress induced in bar CD by the load W= 100 kN. c) If the allowable stress in rod CD is 124 MPa, what weight W can be safely applied? 36 mm ø vod 2m im

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.3.2P: A long, rectangular copper bar under a tensile load P hangs from a pin that is supported by two...

See similar textbooks

Similar questions

A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in the figure. The roof load P:equals 400 KN, and the second-floor load P-, equals 720 kN. Each column has a length L = 3.75 m. The cross-sectional areas of the first- and second-floor columns are 11,000 mm" and 3900 mm", respectively. (a) Assuming that E = 206 GPa. determine the total shortenings aof the two columns due to the combined action of the loads Ptand P,. (b) How much additional load P0can be placed at t he top of t he column (point C) if t he total shortening: SACis not to exceed 4.0 mm?
*16 A prismatic bar AB of length L, cross-sectional area A, modulus of elasticity E, and weight Changs vertically under its own weight (see figure). (a) Derive a formula for the downward displacement Scof point E. located at distance It from the lower end of the bar. (b) What is the elongation SBof the entire bar? (c) What is the ratio £ of the elongation, of the upper half of the bar to the elongation of the lower half of the bar? (d) If bar A B is a riser pipe hanging from a drill rig at sea. what is the total elongation of the pipe? Let L = 1500 m, A - 0.ol57 m2, and E = 210 GPa. See Appendix 1 for weight densities of steel and sea water. (See Probs. 1.4-2 and J.7-13 for additional figures.)
A long, rectangular copper bar under a tensile load P hangs from a pin that is supported by two steel posts (see figure). The copper bar has a length of 2.0 m, a cross-sectional area of4S00 mm", and a modulus of elasticity Ec= 120 GPa. Each steel post has a height of 0.5 m, a cross-sectional area of 4500 mm2, and a modulus of elasticity E = 200 GRa. (a) Determine the downward displacement
The rigid bar AB, attached to aluminum and steel rods, is horizontal before the load P=141 kN is applied. Find the vertical displacement of point C (in mm) caused by the load P. LA=2,9 m; LS=3,48 m;AA=272 mm2; AS=435,2 mm2;EA=70 GPa; ES=200 GPa;L1=2,1 m; L2=1,68 m;
A steel [E= 30,000 ksi] pipe column with a cross-sectional area of A1=5.60 in 2 is connected at flange B to an aluminum alloy [E= 10,000 ksi] pipe with a cross-sectional area of A2=4.40 in 2. The assembly is connected to rigid supports at A and C. For the loading shown, determine: (a) the normal stresses in steel pipe (1) and aluminum pipe (2).(b) the deflection of flange B.
Determine the allowable value of force P (in Newton ), if a bar of diameter d = 32 mm and length L = 0.60m is loaded in tension by force P. The bar has modulus E = 44 GPa and allowable normal stress of 218 MPa . The elongation of the bar must not exceed 1.8 mm .
A straight and piecewise uniform bar ABCD of total length L is in Case 1 fixed at A in case 1 and in Case 2 fixed at both ends A and D. AB = BC = CD = L/3. The cross section area of segment CD is half of the area of the segment ABC, i.e. AABC = 2ACB. A point load of P is applied at B. Assume that bar material is linear and elastic and the modulus of elasticity is E.
Two vertical rods one of steel and the other of copper are each rigidly fixed at the top and 50cm apart. Diameters and lengths of each rod are 2cm and 4m respectively. A cross bar fixed to the rods at the lower ends carries a load of 5000 N such that the cross bar remains horizontal even after loading. Find the stress in each rod and the position of the load on the bar. Take E for steel = 2 x 105 N/mm2 and E for copper = 1x 105 N/mm2.
Determine the allowable value of force P (in Newtons), if a bar of diameter d = 32 mm and length L = 0.60 m is loaded in tension by force P. The bar has modulus E = 44 GPa and allowable normal stress of 218 MPa. The elongation of the bar must not exceed 1.8 mm.
The L-shaped rigid bar shown is pin connected at C, welded to a rigid bar AB at point B, and rests on a composite bar at D. Rigid bar AB is attached to two identical rubber (G = 150 MPa) pads with the shown dimensions and having a thickness of 30 mm each. Meanwhile, composite bar DE is made of hollow aluminum (with outer diameter do and inner diameter di, E = 70 GPa) surrounding a solid steel rod (diameter = di, E = 200 GPa). Determine the maximum force P that can be applied to the rigid bar at B if the allowable normal stresses in aluminum and steel are 80 MPa and 200 MPa, respectively and the shear stress in rubber is 30 MPa.Use the following values:Parameters s = 135 mm x = 3.8 m y = 5.5 m do = 60 mm di = 35 mm
the rigid bar abc is supported by pin at a and aluminum wire bd, is horizontal before the load p is applied. find the vertical displacement of point c caused by the load p + 35kn where e +70 gpa and the area of the wire is 200 mm
Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A1 = 3950 mm2 and an allowable normal stress of 150 MPa. Bar (2) has a cross-sectional area of A2 = 2900 mm2 and an allowable normal stress of 160 MPa. Assume x1 = 2.0 m, x2 = 3.0 m, y1 = 0.8 m, and y2 = 2.8 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress.