Determine the resultant internal loadings acting at the circular cross- section passing by points A and B as shown in the figure below. The correct answers should be given according to the positive sign convention.

Q: A T- section is the cross section of a loaded beam as shown. Given: U1= 20 kN/m; M1 = 100 kN-m; P1 =…

A: (a) Calculate the total load due to the uniformly varying load. W=12u1L Here, L is the length of the…

Q: 4. The shaft below is hollow from A to B and solid from B to C. Determine the maximum shear stress…

A: Given:D=80 mmd=80-2*td=80-20 =60 mm

Q: The state of stress of an element is given. Determine its principle plane by the specialized…

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Q: The hollow square cross section shown has a wall thickness, T, of 8.7 mm. Determine the second…

A: The area moment of inertia, also known as the second moment of area, or second area moment, or…

Q: 3 1 4 If the components of stress at point p given by 1 2 -5 | Мра , 4-5 0 hen the stress vector…

A: Stress vector, σ=31412-54-50 Unit vector normal to the plane equation is, s=2x+y-z=1normal vector to…

Q: 1. Neglecting transverse shear effect show the maximum moments and determine omax = (16/TD³)(M, +…

A: Given dataDiameter of the rod = DTo show the maximum moments and determine the maximum stress is…

Q: At point A & C, the beam is pin connected. Therefore, find the average normal stress in the…

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Q: Determine the maximum value of Qof the Transverse Shear Stress formula [T = (VQ)/(It)] at point p in…

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Q: The hook is subjected to the force of 80 lb. Determine the state of stress at point B at section…

A: Given Diameter of the cross-section D=0.5 in. Force subjected on the hook F=80 lb.

Q: The average normal stress and maximum in-plane shear stress components are determined from the…

A: Yes, the average normal stress and the maximum in-plane shear stress components are determined from…

Q: If the allowable normal stress is 120MPa and the allowable shear stress is 60MPa, what is the…

A: Allowable normal stress = 120 Mpa Allowable shear stress = 60 Mpa Answer : (a) 8.39 N

Q: (a) V =  kN. (b) V =  kN. (c) V =  kN. (d) V =  kN

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Q: The beam shown below is subjected to the shown loads. It has a circular cross section area.…

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Q: The maximum torsional shear stress of a shaft with diameter D can be found at what distance from the…

A: To find :  maximum torsional shear stress of a shaft with diameter D can be found at what distance…

Q: Determine the normal stress component acting on the plane AB. (Figure 1)

A: We have to find out the normal & shear component of force acting on the plane

Q: Question 1: A member having the dimensions shown is used to resist an internal bending moment of M…

A: ◆ The moment of inertia of the cross-section: Iz = 63.6162 × (10-6) , m4 Iy = 0.1112787 × (10-3) ,…

Q: Construct the shear-force diagram and identify the largest negative shear force. Assume a = 5.9 ft,…

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Q: 200 400 300 f the components of stress at point p given by 400 Мра , 300 0 -100 hen the stress…

A: Option (III) is correct. [1600/3     400/3       100/3 ]

Q: The internal loadings at a section of the beam are shown. Determine the in-plane principal stresses…

A: Given, I section Px =-80 kN = -80 X 103 N My=-500 Nm Mz=10 kNm =10 X 103 Nm

Q: 800 N D 120 N.m d = 8 cm 600 N Q / If the cross section of the femur can be approximated as a…

A: 1. Stress due to eccentric load of 800N P2 and 800N will create a momentMoment due to this…

Q: The beam is made of four aluminium plates welded together as shown in Figure 1. Knowing that E = 65…

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Q: The beam is subjected to a moment M. Determine the percentage of this moment that is resisted by the…

A: Consider the schematic diagram shown below for the cross-section of the given structure.

Q: If the following structural beam has a rectangular cross-section and is subjected to the loadings as…

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Q: Determine the shear stress in section AB and the angle of torsion of point A in relation to point C.…

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Q: If u=15 kN/m, determine the following. a) Maximum tensile stress in the beam b) Maximum compressive…

A: Part A) Find the maximum bending moment of the simply supported beam as follows.

Q: a. Use Mohr's Circle to determine the maximum shear stress on the element b. Also, using Mohr's…

A: Mohr's circle for, σx=-30MPaσy= 50MPaτxy= 20MPa

Q: The overhanging beam is supported at A and B and has a uniformly distributed loading w = 18.3 kN/m…

A: Given that ,  W=18.3kN/m

Q: Q4: If the T- cross section of the beam shown in the Figure (3) below has bending stress of 37 MN/m2…

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Q: Calculate the maximum shear stress at that point.

A: Given that principal stresses on a point are: σ1 = 250 Mpa σ2 = -30 MPa It is required to determine…

Q: Determine the normal strain across line AB b.)Determine average shear strains at corners C and D…

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Q: The main stress, the maximum shear stress, and the dead angle are obtained when the stress is given…

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Q: The solid rod with radius r=37 mm is subjected to the loading F;=120 kN, F2=38 kN, F3=29 kN. With…

A: Fifth option is correct combined shear stress=4.805Mpa

Q: Use the graphical method to construct the shear-force and bending-moment diagrams for the beam…

A: To know the variation and maximum value of shear force and bending moment, V and M diagram are…

Q: The solid rod shown has a radius R. Given that: P = 2 kN R = 25 mm %3D %3D X = 200 mm y1 = 125 mm y2…

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Q: (a) The reaction forces at the two ends of the shaft A and D. (b) The bending moments at shoulder…

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Q: Consider a tube having a rectangular cross-section as shown below. The tube is subject to two…

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Q: As the electric motor rotates at a constant speed, it applies a torque of 500 Nm to the ABCD shaft.…

A: To find: The torsion angle between B and C. Given: The length of the section BC is LBC=1.2 m. The…

Q: Determine the normal force, the shear force, and the bending moment of the bar with the loads below,…

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Q: The cantilevered beam AD is fixed to the wall and has a linear distributed load 30 kN/m on the beam.…

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Q: Determine the value of Q of the Transverse Shear Stress formula [T = (VQ)/(It)] at the point of…

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Q: A beam has a rectangular cross-section and is subjected to the stress the distribution is shown in…

A: Given data b=6 inh=12 in

Q: 60° 6 m 4 m 12 260 N

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Q: 40 kN 8 kN/m 60° 3 m 3 m 3 m 0.3 m

A: Given:-  To Find:-  Internal normal force at point c (Nc)  Internal bending moment at point c (Mc)…

Q: The solid shaft of radius c is subjected to a torque T at its ends. Show that the maximum shear…

A: Torsion Equation can be given by TJ=τr=G×θLTJ=G×θLθ=T×LG×J

Q: Determine the resultant force the bending stress produces on the bottom Flange B (in kip). Express…

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Q: Determine the normal stress and shear stress at a point distant from hP from the bottom surface of…

A: Centroidal axis distance y= A1y1+A2y2+A3y3A1+A2+A3(1) A1=A2=(190) (10) =1900 mm2A3=(150)…

Q: Q2) Determine the normal stress at points A and B. Also, calculate how much the neutral axis is…

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Q: . Determine the internal loadings acting at section a-a. b. Calculate the average normal stress and…

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Q: Q1: The shaft BC is hollow with inner and outer diameters of 100 mm and 120 mm respectively. Shaft…

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Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.