12 (2)150 mr450250 mmi 00 mmA100 mmP= 96 NTor the frane aud loading shown, find, at D, the(a) internal axial force F(6) internal shear force VC) internal bending momeut MBe, Suve to report which Aiece your anşwers are tor,

Answered: Image /qna-images/answer/f35f1d3f-23b3-4502-84f6-ea5a01e5e972.jpg

Answered: For the frane aud loading shown, find,…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.2.6P: A circular aluminum tube subjected to pure torsion by torques T(sec figure) has an outer radius...

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A line shaft rotating at 200 r.p.m. is to transmit 20 kW. The shaft may be assumed to be made of mild steel with an allowable shear stress of 42 MPa. Determine the diameter of the shaft, neglecting the bending moment on the shaft
A) Axial Stress ( σ =F/A) F=? in N B) Direct Shear ( τ =V/A) V=? in N C) Transverse Shear ( τ =3V/2A) V=? in N D) Bending ( σ =Mc/I) M=? in Nm E) Torsion ( τ =Tr/J) T=? in Nm
A beam with a circular cross section of radius c is subjected to pure bending, and it is made of a material with an elastic, perfectly plastic stress–strain curve, Eq. 12.1. Show that the moment M is related to εc, the strain at y = c, by where (a) applies for (εc ≤ εo), and (b) applies for (εc ≥ εo), with εo = σo/E being the yield strain, and α = εc/εo.
Consider the beam section below where fc’ = 30 MPa, Es = 200 GPa, determine the bending stress of the steel section if M=180 KN-m in MPa. Express your final answer in two decimal places.
PRIOR ANSWERS: Reaction Forces: By = 76.809 Cy = 15.94 Shear Forces: V (× = 10.5- ft (i.e., just to the left of support B)) = -36.75 kips V ( x = 10.5+ ft (i.e., just to the right of support B)) = 40.059 kips V (x = 25.5 ft) = -12.441 kips V (x = 26.5- ft (i.e.. just to the left of support C))= = -15.941 kips Bending moment: M (x = 10.5 ft (i.e., at support B)) = -192.9375 kips-ft M (x = 25.5 ft) = 14.1975 kips-ft
The internal loadings at a critical section along the steel drive shaft of a ship are calculated to be a torque of 2300 lb # ft, a bending moment of 1500 lb # ft, and an axial thrust of 2500 lb. If the yield points for tension and shear are sY = 100 ksi and tY = 50 ksi, respectively, determine the required diameter ofthe shaft using the maximum shear stress theory.
A circular steel tube of length L = 1.0 m is loaded by torques T a) If the inner radius of the tube is r1 = 45 mm and the measured angle of twist betweenthe ends is 0.5°, what is the shear strain γ1 (in radians) at the inners surface? b) If the maximum allowable shear strain is 0.0004 rad and the angle of twist is to bekept at 0.45° by adjusting the torque T, what is the maximum permissible outer radius(r2)max?
The axle of a heavy-duty tractor transmits 120 kW at 600 rpm. It acts as a cantilever supporting a load of 280 N located 60 cm from the fixed end. The allowable normal stress is 137 MPa and the allowable shear stress is 62 MPa. If the axial load is negligible, find the axle diameter.
Consider a circular hollow section, with outer diameter dD (in mm), and thickness tD (in mm). The circular hollow section is made from aluminium which has a density of 2700 kg/m3 and a shear modulus G = 30000 MPa. Part D dD = 170 mm tD = 7.5 mm What twisting moment (in kNm) will cause a maximum shear stress of 105 MPa?
A cold drawn steel rod of circular cross-section is subjected to a variable bending moment of 565 Nm to 1130 N-m as the axial load varies from 4500 N to 13 500 N. The maximum bending momentoccurs at the same instant that the axial load is maximum. Determine the required diameter of the rodfor a factor of safety 2. Neglect any stress concentration and column effect. Assume the followingvalues:Ultimate strength = 550 MPaYield strength = 470 MPaSize factor = 0.85Surface finish factor = 0.89Correction factors = 1.0 for bending= 0.7 for axial load
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For the frane aud loading shown, find, at D, the (a) internal axial force F (6s internal shear force V ) internal bending mameut M