Q4 Two steel springs attached together in series as shown in Fig. P4-11 support a load P. The upper spring has 15 turns of 20-mm diameter wire with a mean radius of 100 The lower spring consists of 12 turns of 15-mm diameter wire on a mean radius of 75 mm. If the maximum allowable shearing stress is 120 MPa, determine the maximum value of P and the total elongation of the springs. Use Eq.(3-10) mm. and G = 83 GPA-

Q4 Two steel springs attached together in series as shown in Fig. P4-11 support a load P. The upper spring has 15 turns of 20-mm diameter wire with a mean radius of 100 The lower spring consists of 12 turns of 15-mm diameter wire on a mean radius of 75 mm. If the maximum allowable shearing stress is 120 MPa, determine the maximum value of P and the total elongation of the springs. Use Eq.(3-10) mm. and G = 83 GPA-

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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For the shaft shown, a. Determine the maximum stress on the shaft and the maximum angle of twist of end D relative to end A. b. If the stress in every section must not exceed 25 MPa, what should be the uniform diameter of the shaft? dAB = 100mm, dbc = 80mm, dcd = 50mm G for the shaft is 80GPa. Consider clockwise torques as negative.
The hydraulic cylinder CF, which partially controls the position of rod DE, has been locked in the position shown. Member BD is 5/8 in. thick and is connected to the vertical rod by a 3/8-in.-diameter bolt. Determine (a) the average shearing stress in the bolt, (b) the bearing stress at C in member BD.
a. Determine the location of the shear center for the following section. b. Determine the shear stress at point A, if a 20kN (downwards) shear load is applied at the shear center. Given: h1= 25mm h = 100mm b = 50mm Thickness = 4mm
Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 5 mm, and it is supported by double-shear pin connections at B and D. The pin at bracket A is a single-shear connection. The pin at B is 9 mm in diameter. Assume a = 640 mm, b = 320 mm, h = 350 mm, and θ= 50°. If the normal stress in tie rod (1) cannot exceed 190 MPa and the shear stress in pin B cannot exceed 110 MPa, determine the maximum load that can be supported by the structure.
A cantilever beam of IPN 300 section and length L=3m supports a slightly inclined load P=2,5KN at the free end (see Figure Q2).2.1 Plot a graph of the stress ?? at point A as a function of the angle of inclination ?. [16]2.2 Plot a graph of the angle ?, which locates the neutral axis n-n, as a function of the angle ?. See Table F-2 of Appendix F for the dimensions and properties of the beam (When plotting the graphs, let ? vary from 0 ?? 10°).
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The hollow steel shaft (G= 83 GPa) must transmit a torque (torsional moment) of 32.5 Kn-m. The outside diameter D of the shaft is 300 mm Considering both limitations (in allowable torsional shear stress of 80 MPa and in maximum total angle twist of 0.1 degree per meter), determine the minimum safe thickness of the hollow shaft and find the value of polar moment of inertia considering a limitation that the total angle of twist shall not exceed 0.1 degree per meter
Link BD consists of a single wooden member 39.9 mm wide and 19.9 mm thick. Knowing that each pin has a 13.4-mm diameter, determine the maximum value of the average normal stress (in MPa) in link BD if θ= 0° and P = 26.2. Round off the final aswer to three decimal places.
Q-1 The factor of safety for a machine element depends on the particular point selected for analysis. For the bar and loading, shown in figure below, we need to have a minimum factor of safety, ηy = 2.5. The bar is to be made of AISI 1050 cold-drawn steel and is loaded by F = 2.65 kN, P = 10.5 kN, and T = 52 N-m. a). Draw planar stress elements (A and B) showing normal and shear stresses at their proper orientations. b). Determine a safe diameter d to the nearest mm, based upon the distortion-energy theory, for both stress elements at A and B of the member shown in the figure. c). Determine the safe diameter, d, based on maximum shear stress theory. d). You are the designer, and you are to decide on the safe diameter, chosen from one of the diameters obtained from different failure theories used in parts (b) and (c) above, and explain your final decision made on the diameter.
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