A 1.750-in-diameter solid steel shaft supports loads PA = 280 Ib, Pc= 640 lb, and PE= 280 lb, as shown. Assume that Lag = 12 in., Lgc = 33 in., Lo = 15 in., and LoE = 21 in. The bearing at B can be idealized as a roller support, and the bearing at D can be idealized as a pin support. Determine the magnitude of the maximum bending stress in the shaft. A C D E LAB LBC LCD LDE Pc PE ksi Answer: Omax =

A 1.750-in-diameter solid steel shaft supports loads PA = 280 Ib, Pc= 640 lb, and PE= 280 lb, as shown. Assume that Lag = 12 in., Lgc = 33 in., Lo = 15 in., and LoE = 21 in. The bearing at B can be idealized as a roller support, and the bearing at D can be idealized as a pin support. Determine the magnitude of the maximum bending stress in the shaft. A C D E LAB LBC LCD LDE Pc PE ksi Answer: Omax =

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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The bell-crank mechanism is in equilibrium for an applied load of P = 35 kN. Assume that a = 240 mm, b = 185 mm, and 8 = 65°. The pin at B has a diameter of d = 15 mm, and the bell crank has a thickness of t = 12 mm. Calculate the average shear stress in the pin at B. (1) P Answer: T = i Bell crank a C MPa B Support bracket- b F₁ -- B
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Problem 1: Obtain a preliminary design of the shaft by performing the following tasks. Note that forces T=2880 N and T;=432 N. The maximum bending moment is atx= 230 mm (point B), and it equals M= 698.3 N•m completely reversed, where the torque is constant at 612 N.m at the same point. The shaft material is AISI 1020 CD steel. Take the stress concentration conditions at B to be Shoulder fillet-sharp, with notch radius r=0.6 mm (Table 7-1). y 230 mm T, 280 mm 30-mm dia. T C 300 mm 250-mm dia. 400-mm dia. 270 N 1800 N a) Sketch a general shaft layout in 2D (x – y axes), including all components and torques, then calculate all reactions. b) Based on the current shaft dimensions and using only forces at B and C, find the lowest critical speed of the shaft. c) Discard the indicated shaft diameter and use DE-Goodman criteria to determine the critical diameter of the shaft based on infinite fatigue life with a design factor n of 1.5. (Take the same value of endurance limit as that used in…
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For two moving loads, maximum shear occurs at the reaction when the larger load is _ a) over that support b) at quarter span c) over the other support d) at midspan
The bell-crank mechanism is in equilibrium for an applied load of P= 48 kN. Assume that a = 230 mm, b = 180 mm, and 8 = 65°. The pin at B has a diameter of d = 30 mm, and the bell crank has a thickness of t= 10 mm. Calculate the bearing stress in the bell crank at pin B. (1) P Answer: O= i Bell crank A a C MPa B Support bracket b B F₁
The bell-crank mechanism is in equilibrium for an applied load of F1 = 11 kN applied at A. Assume a = 250mm, b = 100mm, c = 90mm, and θ = 40°. Pin B is in a double-shear connection and has a diameter of 29 mm. The bell crank has a thickness of 31 mm. Determine the shear stress in pin B and bearing stress in the bell crank at B. Express your answer in MPa rounded to the nearest hundredths.
A simple pin-connected truss is loaded and supported as shown. The truss is constructed from three aluminum members, each having a cross-sectional area of A = 1160 mm2. Assume a = 2.3 m, b = 6.8 m, and c = 2.8 m. If P = 50 kN and Q = 75 kN, determine the normal stress in each member. L. Answers: JAB OBC i i JAC= i P b MPa (C) MPa (T) MPa (T)
Please write All answer in mpa
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The bell-crank mechanism is in equilibrium for an applied load of F1 = 19 kN applied at A. Assume a = 280mm, b = 170mm, c = 80mm, and θ = 45°. Pin B is in a double-shear connection and has a diameter of 30 mm. The bell crank has a thickness of 29 mm. Determine the bearing stress in the bell crank at B. Express your answer in MPa rounded to the nearest tenths.
A 29-mm-diameter solid steel shaft supports loads PA = 1100 N and Pc = 2810 N, as shown. Assume L₁ = 105 mm, L₂ = 176 mm, and L3 = 210 mm. The bearing at B can idealized as a roller support and the bearing at D can be idealized as a pin support. Determine the magnitude omax and location x (measured positive to the left from D) of the maximum bending stress in the shaft. Answers: max = 1₂ Po MPa, x = mm.