10 points When no load is applied, the two aluminum posts at A and B of lengths 220 mm and 210 mm, respectively, support the rigid beam in a horizontal position. Both posts have the same diameter of d-30 mm and a Young's modulus, E-73 GPa. Determine the new length of the post at B if the applied load P-89 kN acts at a distance x-0.8 m along the beam. Assume elastic behavior. Provide your answer in units of mm, accurate to at least three decimal places. P 220 mm A 3 m B 210 mm

10 points When no load is applied, the two aluminum posts at A and B of lengths 220 mm and 210 mm, respectively, support the rigid beam in a horizontal position. Both posts have the same diameter of d-30 mm and a Young's modulus, E-73 GPa. Determine the new length of the post at B if the applied load P-89 kN acts at a distance x-0.8 m along the beam. Assume elastic behavior. Provide your answer in units of mm, accurate to at least three decimal places. P 220 mm A 3 m B 210 mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.5.2P: ‘11.5-2 A steel bar having a square cross section (50 mm × 50 mm)and length L = 2.0 in is compressed...

See similar textbooks

Similar questions

1. The horizontal beam is assumed to be rigid and supports the distributed load shown. Determine the vertical reactions at the supports. Each support consists of a wooden post having a diameter of 120 mm and an unloaded (original) length of 1.40 m. Take Ew = 12 GPa. The horizontal beam is assumed to be rigid and supports the distributed load shown. Determine the angle of tilt of the beam after the load is applied. Each support consists of a wooden post having a diameter of 120 mm and an unloaded (original) length of 1.40 m. Take Ew = 12 GPa. 18 kN/m A B C 1.40 m 2 m +1m-
5. The rigid beam rests on two short posts AC and BD as shown. Post AC is made from steel with E-200 GPa and BD from aluminum with E-70 GPa. The diameters of posts AC and 80 are 25 mm and 40 mm, respectively. Determine the vertical displacement of point on AB 100 KN 400mm D 6. The timber beam has a cross-sectional area of 2000 mm and its modulus of elasticity is 12 GP Axial loads are applied at points B, C, and D as shown. Calculate the total change in length of the beam. Answer: 2.33 mm 40 KN 35 KN 20 KN 3.20 m 1.60m 3.20 m
The bar is made of an aluminum alloy having a stress–strain diagram that can be approximated by the straight line segments shown. Assuming that this diagram is the same for both tension and compression, determine the moment the bar will support if the maximum strain at the top and bottom fibers of the beam is Pmax = 0.05.
The aluminum block has a rectangular cross section and is subjected to an axial compressive force of 8 kip. If the 1.5-in. side changed its length to 1.500132 in., determine the Poisson's ratio. Assume modulus of elasticity (E) = 10 x 10^3 ksi indicate the free body diagram
Q: The compound wooden beam is connected together by a bolt at B. Assuming that the connections at A,B,C, and D exert only vertical forces on the beam, determine the required diameter of the bolt at B and the required outer diameter of its washers if the allowable tensile stress for the bolt is ot allow = 150 MPa and the allowable bearing stress for the wood is ob allow = 28 MPa. Assume that the %3D hole in the washers has the same diameter as the bolt. 2 kN 3 kN 1.5 kN -2 m--1.5 m--1.5 m--1.5 m--1.5 m- 2 m bolt washer
Let's consider a rod subjected to the shown axial forces. If we consider a linear elastic behavior, determine the axial force Fo so that the vertical displacement of end D is &= 0.6559 mm and Fc = 20 kN. Segments (1) and (2) are made of steel with a modulus of elasticity E = 200 GPa, while segment (3) is made of aluminum with a modulus of elasticity E= 70 GPa. The rod has a solid circular cross-section with the folowing diameters: D(1) = D[2) = 50 mm, D(3) = 30 m (1) A 1.8 m 40 kN B (2) 1.2 m C FC 1.6 m (3) D FD
An aluminum bar having a rectangular cross section (2.0 in. × 1.0 in.) and length L = 30 in. is compressed by axial loads that have a resultant P = 2800 lb acting at the midpoint of the long side of the cross section (sec figure). Assuming that the modulus of elasticity E is equal to 10 × 106 psi and that the ends of the bar are pinned, calculate the maximum deflection and the maximum bending moment Mmax.
The simply supported joist is used in the construction of a floor for a building. In order to keep the floor low with respect to the sill beams C and D, the ends of the joists are notched as shown. If the allowable shear stress is tallow = 350 psi and the allowable bending stress is sallow = 1500 psi, determine the height h that will cause the beam to reach both allowable stresses at the same time. Also, what load P causes this to happen? Neglect the stressconcentration at the notch.
Assume that each member has a cross-sectional area of A = 1.25 in.2 and an elastic modulus of E = 10,000 ksi. The loads acting on the truss are P = 21 kips and Q = 7 kips. Determine the horizontal displacement of joint A.
The horizontal beam is assumed to be rigid while supporting the distributed load. Determine the angle of inclination of the beam after the load is applied. Each support consists of a wooden post with a diameter of 120 mm and an original length (unloaded) of 1.40 m- Consider E = 12 GPa
Determine the maximum stress in a hollow column of Do = 160mm and Di = 100mm that supports a load of 40KN and a bending moment of 4KN-m.
The pole is supported by a pin at B and A-36 steel guy wire AC. If the wire has a diameter of 0.2. Modulus of Elasticity of Steel = 200GPA or 29x103 ksi Poisson's ratio of steel=0.321 a. Determine how much the wire stretches when the horizontal force acts on the pole. 3 ft 30 D 2.5 kip 4 ft B b. Determine the change in the wire's radius c. At what angle is the principal stresses on pole BC? Use Mohr's Circle. d. What is the principal stress in pol BC? Use Mohr's Circle e. Draw the stresses on a unit element acting on 35-degree clockwise direction of pole BC. Use Mohr's Circle. f. What are the principal stresses in point D? Use Mohr's Circle. (answer in ksi) g. At what angle is the principal stresses acting on point D? Use Mohr 's Circle. h. Draw the stresses on a unit element acting on 35degree-clockwise direction of point D. Use Mohr's Circle. (answer in ksi)