SITUATION 31 Consider the system above. A rubber is used to bond a solíd steel shaft (Diameter = 130mm) to another steel pipe (Diameter=200mm), fixed on the ground. A simple lever is used to test the bond between the two caused by the rubber. Bar AC has a length of 3m, a pin at B is usod as the fulcrum of the system. Pin at B has allowable shearing stress of 100 MPa, the rubber has modulus of elasticity of 4.2 MPa and Poisson's ratio of 0.42. Consider deformation on rubber only, and pin at B experiencing double shear. 200 100 A Dléman. 1. Determine the maximum vertical displacement of the shaft to not exceed the working shearing stress of the pin at B. 2. Considering Pin at B will not collapse. Determine the required force P to lift the shaft 5mm from the ground 225

SITUATION 31 Consider the system above. A rubber is used to bond a solíd steel shaft (Diameter = 130mm) to another steel pipe (Diameter=200mm), fixed on the ground. A simple lever is used to test the bond between the two caused by the rubber. Bar AC has a length of 3m, a pin at B is usod as the fulcrum of the system. Pin at B has allowable shearing stress of 100 MPa, the rubber has modulus of elasticity of 4.2 MPa and Poisson's ratio of 0.42. Consider deformation on rubber only, and pin at B experiencing double shear. 200 100 A Dléman. 1. Determine the maximum vertical displacement of the shaft to not exceed the working shearing stress of the pin at B. 2. Considering Pin at B will not collapse. Determine the required force P to lift the shaft 5mm from the ground 225

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A Sandwich block is comprised of brass in the centre with two aluminium plates attached to either side. The block is fastened by a top rigid end plate. An axial load (P = 443 kN) is applied to the centre of the block as shown below. Find the normal stress in the brass and the normal stress in the aluminium cover plates. Aluminum plates (E = 70 GPa) 300 mm Brass core (E = 105 GPa) 10 mm 40 mm 10 mm P Rigid end plate 60 mm OneDrive Screenshot saved The screenshot was added to your
A rigid bar ABCD is supported by two bars as shown in the figure. There is no strain in the vertical bars before load P is applied. After load P is applied, the normal strain in rod (1) is -1350 µm/m. Determine the normal strain in rod (2) if there is a 1-mm gap in the connection at pin C before the load is applied. A 240 mm B (1) O 1281 um/m O 1877 µm/m O 1141 µm/m O 1358 µm/m O 999 µm/m 360 mm (2) Rigid bar 900 mm C 140 mm, 1,500 mm
the trolley of a small hoist is supported on a horizontal beam as shown. the maximum mass to be lifted is 6000kg the tie back is a round rod 33 mm in diameter the tensile stress in the is not to exceed 170 MPa the maximum elongation allowed for the tie back is 2.5 mm. determine the maximum dimemnsion L permitted
The dimensions of the compressed air tank manufactured in the form of a cylinder are given in the figure. 6mm thick steelThe tank is manufactured by joining the plate with a helical weld at an angle of 30°. parallel to the weld seamSince the safe shear stress in the direction is 30 MPa, the maximum pressure that can be used in the tank is determined.calculate.
A brass link (Eb = 105 GPa, ab = 20.9 x 106/°C) and a steel rod (Es = 200 GPa, as = 11.7 x 106/°C) have the dimensions shown at a temperature of 20°C. The steel rod is cooled until it fits freely into the link. The temperature of the whole assembly is then raised to 45°C. Determine a.) The final stress in the steel rod b.) The final length of the steel rod 50 mm Brass 37.5 mm 37.5 mm 0.12 mm -250 mm 30-mm diameter Steel Section A-A
A 260 mm bar AB with a rectangular cross section of 17 x 30 mm, consists of two aluminium layers with cach being 6 mm thick and brazed to a centre steel layer of 5 mm thickness as shown in Figure Q3. An axial tensile force of P- 37 kN is applied to the assembly by means of a rigid end cap at B. Given that the assembly is fixed at end A and the Young's modulus of aluminium and steel are E.= 70 GPa, Es= 200 GPa, respectively, determine: i Whether this structural configuration is statically determinate or statically indeterminate, and clearly explain your reasoning. ii. The normal forces in the aluminium layers and the steel layer i. The normal stress in the aluminium layers and the steel layer. State whether the stresses are in tension or compression iv. Determine the deformation of the assembly Cross section of the bar 6 mm 5 mm 6 mm 30 mm 260 mun Aluminium. Steel- Aluminitum Nא 37 30 mm
A cylindrical pressure vessel of 2.5m inside diameter, which is closed at both ends, having 12 mm wall thickness operates at 1.5 MPa internal pressure. The plates are welded on a 30° helical spiral as shown in the figure. Detemine the stresses Oayluld acting normal and tangential to the weld. Consider the element A drawn below. 30 da = 2.5mm t= 12mm p=1.5MPA
904. To avoid interference, a link in a certain machine is de- signed so that its cross-sectional area is reduced one-half at section A-E, as shown in Fig. P-904. Compute the maximum tensile stress developed across section A-B if (a) the cross section of the link is 160 mm square and (b) the cross section is a circle 160 mm in diameter. Ans. (a) 75.0 MPa; (b) 85.3 MPa 80 mm P = 240 kN 80 mm B Figure P-904.
Steel A-450 mm² E-200 GPa L-4.0 m A B opper A=230 mm² E-120 GPa L= 3.0 m 5.0 m a) What maximum P can be applied on the horizontal bar to give a stress of 110 MPa to steel and 150 MPa to copper. How far from copper should P be acting. Neglect the weight of the bar. b) What are the amount of deformations of the rods
An extruded aluminum beam has the cross section shown. The vertical shear in the beam is 145 kN. Assuming a=85 mm, b-87 mm, c=7 mm and d=15 mm, determine the shear stress at (a) a and at (b) b a a/2 -b- The centroidal moment of inertia is given as ]x10-6 (m4)
The shaft shown consists of a steel tube (1) bonded to a brass core (2). The shear modulus of steel is 11,400 ksi and the shear modulus of brass is 5,200 ksi. A torque is applied at A. The radius of the brass core is 0.5 in. The outer radius of the steel tube is 1 in.d) Assume the allowable shear stress in the brass core is 450 psi. Calculate the maximum torque you could apply to the system in k-in.e) Assume that the maximum angle of twist at the free end is not to exceed 0.05 rad. Calculate the maximum torque you could apply to the system in k-in.f) Based on your answers from parts (c)-(e), what is tha maximum torque (in k-in) you could apply to the system using a factor of safety (FOS) of 2?
3- A cylindrical thin-walled pressure vessel was made by welding components together in a helical pattern, as shown in the figure. If the internal pressure within the vessel is p = 0.3 MPa, determine the normal stress perpendicular to the weld line and the shear stress tangential to the weld line. 400mm •t=8mm 21 weld line X