Chapter 9, Problem 9.2P

X Your answer is incorrect. An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 620 mm. The cross-sectional dimensions of the beam are b1 = 39 mm, d1 = 82 mm, b2 = 23 mm, dɔ = 23 mm, and a = 8 mm. For this material, the allowable tensile bending stress is 20 MPa, and the allowable compressive bending stress is 12 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 a d2 y A B b1 Answer: M = 412.360 N•m Attempts: 2 of 3 used

Your answer is incorrect. An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 500 mm. The cross-sectional dimensions of the beam areb1 = 35 mm, d1= 115 mm, b2= 21 mm, d2 = 21 mm, and a =7 mm. For this material, the allowable tensile bending stress is 15 MPa, and the allowable compressive bending stress is 14 MPa. Determine the largest moment M that can be %3D %3D %3D %3D %3D %3D applied as shown to the beam. b2 a 不 d2 d1 b1 Answer: N-m M% =

A square plate of width b and thickness t is loaded by normal forces P, and Py, and by shear forces V, as shown in the figure. Assume that the material is linearly elastic with modulus of elasticity E and Poisson's ratio v. These forces produce uniformly distributed stresses acting on the side faces of the place. The dimensions for an aluminum plate are b = 10 in., t = 0.75 in., E = 10,600 ksi, v = 0.33, P, = 96 k, Py = 24 k, V = 18 k, Px (a) Calculate the change AV in the volume of the plate. (Round your answer to four decimal places) AV = in.3 Calculate the strain energy U stored in the plate. (Round your answer to the nearest whole number) V = in.-lb (b) Find the maximum permissible thickness of the plate when the strain energy U must be at least 640 lb-in. (Assume that all other numerical values in part (a) are unchanged). (Round your answer to three decimal places) t = in. (C) Find the minimum width b of the square plate of thicknesst = 0.75 in. when the change in volume of the…

A solid plastic rod has a diameter of d = 22 mm and a length of L = 600 mm. An axial load of P = 21 kN is applied to the rod as shown. The elastic modulus is E = 2.3 GPa and Poisson's ratio for this material is v=0.37. Determine the magnitude of the change in the rod diameter Ad for the given load. Answer: Ad=i mm

The stress–strain diagram for the material of a column can be approximated as shown. Plot P/A vs. KL/r for the column.

A steel block has a length of 80 mm, width of 60 mm and thickness of 40 mm. The block is subjected to a uniform hydrostatic pressure of 180 kPa on all its faces. Modulus of elasticity E=200 GPa, Poisson’s ratio ?= 0.29. a.) Determine the bulk modulus of steel, b.) Determine the dilatation (e) of the material if e is the negative of the ratio of load to bulk modulus., and c.) Determine the change in volume of the steel block.

1 The principal stresses at a point in an elastic material are 1.50 (tensile), o (tensile) and 0.50 (compressive). The elastic limit in tension is 210 MPa and μ = 0.3. What would be the value of o at failure when computed by different theories of failure.

The state of stresses in the x and y directions at a point in a given material is shown in the figure below. If the value of the shear stress in the x-y axes Ty is 19N/mm2, find the maximum direct stress that can be found at this point in any possible direction. Round off your answer to the nearest N/mm2. 10 N/mm2 Txy 20 N/mm2 20 N/mm2 Txy 10 N/mm2

The stress concentration occurs whenever there is an abrupt change in the cross-section of a component or there is any discontinuity in the material. The figure given below shows a flat plate with a hole of diameter d. The plate is fixed at one end and the other end is subjected to a tensile load of P = 44 kN due to which there is a change in length of 0.4 mm. The thickness of the plate is 11.5 mm. The maximum stress developed in the flat plate is 228 MPa. Take Young's modulus(E) = 210 GPa and theoretical stress concentration factor =2,   Calculate the following values:  i) Width of the plate (W2) in mm                                                    ( ii) Nominal Stress in MPa                                                                 ( iii) Diameter of the hole (d) in mm