CONCEPTUAL:1. Consider a deformable homogenous siender rod of constant area along its length. It isaxially loaded at points A and C. According to Saint-Venant's Principle, which of thefollowing point(s) islare the actual maximum axial stress underestimated the most by theaverage stress?BFLPROBLEM SOLVING:A rigid bar is supported by three non-rigid steel rods, as shown. Rods AB and FG are 0.8m longwith a cross-sectional diameter of 30mm. Rod CDE is made up of equally-long 0.40-m CD andDE whose cross-sectional diameters are 60mm and 30mm, respectively.A 45KN downward load is applied to the rigid bar. There is no initial strain before the applicationof the load.Let E steel-200GP.2. Determine the internal forces on rods AB, CDE, and FG3. Determine the displacement of the rigid bar.4. If the allowable displacement of the horizontal rigid bar is 0.071mm downwards, whatmaximum allowable vertical load can be applied for a factor of safety of 3?0.40 m60mmD0.8 m30mmo0.8 m30mm0.40 m30mmBE45 kN

According to st. Venant's theory, maximum normal strain in actual case crosses maximum normal strain…

1. Consider a deformable homogenous siender rod of constant area along its length. It is axially loaded at points A and C. According to Saint-Venant's Principle, which of the following point(s) isiare the actual maximum axial stress underestimated the most by the average stress? B. F F L-

1. Consider a deformable homogenous siender rod of constant area along its length. It is axially loaded at points A and C. According to Saint-Venant's Principle, which of the following point(s) isiare the actual maximum axial stress underestimated the most by the average stress? B. F F L-

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 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...

See similar textbooks

Similar questions

An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.
A 10-ft rigid bar AB is supported with a vertical translational spring at A and a pin at B. The bar is subjected to a linearly varying distributed load with maximum intensity q0. Calculate the vertical deform at ion of the spring if the spring constant is 4 kips/in.
A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?
A disk of SBR elastomer 3.0 cm in diameter 0.5 cmthick is used as a cushioning surface between two steel rods ofthe same diameter, as shown below (not to scale). a. If the rods are brought together with an axial force of 100 N such that the SBR is compressed elastically between them, what is the thickness of the SBR under load? b. Under the same conditions as part (a), what is the greatest possible diameter of the SBR under load? c. If the SBR is bonded to the rods, how far can one rod be rotated with respect to the other before the SBR/rod interface fractures? Assume that the rods are essentially rigid and the distance between them remains constant. Please answer in degrees of rotation.
12 mm diameter CE and 18 mm diameter DF bar,ABCD connected to rigid summation. Rodscompared to aluminum (E = 70 GPa),(a) the force in a rod,(b) One point displacementDetermine.
A hollow structural member manufactured from a high grade tensile strength steel, forms part of a large piece of lifting equipment and is shown in the figure. The cross-section of the member hasan outer diameter of 100 mm and a wall thickness of 15 mm. The member is supported on a knifeedge and by a pin support as shown. During a particular loading situation, the structural memberis subjected to lateral loading: three point loads and two uniformly distributed loads as shown.Also, during service, the member is subjected to an axial force of 110 kN and a torque of 5.75kNm. The member also contains hydraulic fluid operating at a pressure of 7.5 MN/m2.i) Calculate the reactions and hence draw scaled diagrams of the thrust, shear force andbending moments acting on the member, highlighting and/or calculating all significantpoints. ii) Calculate all the component stresses set-up in the member material at the point of maximumbending moment due to the loading conditions. (Note: assume that thin…
A uniform concrete slab of mass M is to be attached to two rods whose lower ends arw initially at the same level. find: The area of aluminium bar so that slab will remain level after it is attached to the rods. The stress in the steel rod if M=18000kg The stress in aluminum rod if M=18000kg The elongation of the streel rod The elongation of the aluminum rod.
Design a wide flange W column 8 m in height to support an axial dead load of 1000 kN and a live load of 1200kN in the interior of a building. The column base is rigidly fixed to the footing and the top of the column isrigidly framed to very stiff girders. Assume that bracing is provided to prevent side sway in the weak axis/planeof the column (you don’t have to consider slenderness in this direction), but side sway is not prevented aroundits strong axis. Select an economical W shape.
A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 15,000 ksi] rods, and a solid steel [E = 30,000 ksi] rod. The bronze rods (1) each have a diameter of 0.75 in. and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 0.50 in. The normal stress in the bronze rods must be limited to 14 ksi, and the normal stress in the steel rod must be limited to 18 ksi. Determine: (a) the maximum downward load P that may be applied to the rigid bar.(b) the deflection of the rigid bar at the load determined in part (a).
A central horizontal section of a hook is a symmetrical trapezium of inner width=67.5mm and of outer width =22.5mm. The depth of the section is 90mm. The hookcarries a load of 37.5kN. The load line passes through the centre of curvature. Theradius of the hook is 52.5mm. Determine the maximum compressive and tensilestresses in the section of the hook.
A ho]]ow cinu]ar co]d-ro]]ed bronze ]Gi : 6,500 ksi] tube ( 1 ) with an outside diamctc'f of 1 .75 in. and an inside diam- eter of 1.25 in. is securely bonded to a solid 1.25-in.-diameter cold-rolled stainless steel IC! : 12,S00 ksil core (2) as shown in Figure . The allowable sham stress of tube ( 1 ) is 27 ksi. and the allowable shear stress of core (2) is 60 ksi. Determine (a) the allowable torque T that cm tv applied to the tube-and- corc assembly. (b) the corresponding torqucs produced in tube ( 1 ) and core (2). (c) the ' angle of twist produced in a IO-in. length of the aswmbly by the all(cable torque 71
A cylinder head of a steam engine is held on by 14bolts. The effective diameter of the cylinder is 35cm and the steam pressure is 85N/mm².Assuming that the bolts are not initially stressed; find the size of bolts if the tensile stress is not to exceed 20N/mm²