30 45° Be •G

Q: If the 600-kN force acts through the centroid of the cross-section, determine the location y of the…

A: Given figure and loading conditions

Q: The 2-Mg concrete pipe has a center of mass at point G. If it is suspended from cables AB and AC,…

A: Given data as per question Diameter of cable AB = 12mm Diameter of cable AC = 10mm Mass = 2 Mg =…

Q: Q 1) The frame supports the loading shown. The pin at A has a diameter of 0.2 in. If it is subjected…

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Q: F14-L Determine the normal stress and shear stress acting on the Inclined plane AB.

A: The normal stress acting on the vertical plane is σ1=500 kPa. The inclination of the plane AB from…

Q: Determine the stress in the cable BC if the mass of the cylinder is 250 kg. The cross sectional area…

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Q: The cable has a specific weight g (weight/volume) and cross-sectional area A. Assuming the sag s is…

A: Given Data: Weight per volume of the cable is: g (weight/Volume)

Q: The beam is supported by two rods AB and CD that have cross-sectional areas of 12 mm2 and 8 mm2,…

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Q: The sign is subjected to the uniform wind loading. Determine the stress components at points C and D…

A: Determined the projection area of the signboard. Find the wind force

Q: Determine the state of stress at point A on the cross section of the pipe at section a–a. Show the…

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

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

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Q: The assembly consists of two sections of cast-iron rod connected together using a reducing coupling…

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Q: The sign is subjected to the uniform wind loading. Determine the stress components at points A and B…

A: Given Load = 1.5 KPa To find Stress component at point A and B with representation of result on a…

Q: The column is subjected to an axial force of 8 kN which is applied through the centroid of the…

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Q: The rod has a diameter of 1 in. and a weight of 10 lb>ft. Determine the maximum torsional stress…

A: diameter of rod (d) = 1 in. weight of rod (w)    = 10 lb-ft the FBD of the cut segment of the rod is…

Q: The bar has a constant width of 35 mm and a thickness of 10 mm. Determine the maximum average normal…

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Q: The steel water pipe has an inner diameter of 12 in. and wall thickness 0.25 in. If the valve A is…

A: Introduction: The tension is created by fighting the bursting effect of the imposed internal…

Q: The tank of the air compressor is subjected to an internal pressure of 90 psi. If the inner diameter…

A: Write the given data: Understand that the stress generated at point A will be the tangential stress…

Q: The steel water pipe has an inner diameter of 12 in. and a wall thickness of 0.25 in. If the valve A…

A: Given Data: The inner diameter of the pipe is d = 12 in. The thickness of the pipe is t = 0.25 in.…

Q: Q1/ The steel water pipe has an inner diameter of 12 in. and wall thickness of 0.25 in. If the water…

A: Given Data  The inner diameter, d=12 in The wall thickness, t=0.25 in The water pressure, P=400psi

Q: The steel pipe is filled with concrete and subjected to a compressive force of 15 kN and an increase…

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Q: Rods AB and BC have diameters of 4 mm and 6 mm, respectively. If the 3 kN force is applied to the…

A: Given, The diameter of AB(dAB) = 4 mm The diameter of BC(dBC) = 6 mm Load (P) = 3 kN For Member…

Q: The strut is glued to the horizontal member at surface AB. If the strut has thickness of 25mm and…

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Q: The rod has a diameter of 40 mm. If it is subjected to the force system shown, determine the stress…

A: Understand that the point A lies on the outer periphery of the shaft on the z axis. The Torsional…

Q: The pier is made of a material having a specific weight g. If it has a square cross-section,…

A: Given: The specific weight of the material is g. The constant load is P. Calculate the normal…

Q: The circular punch B exerts a force of 2 kN on the top of the plate A. Determine the average shear…

A: Given data The load exerted by punch B on the plate, V = 2 kN. The diameter of punch B, DB = 4 mm.…

Q: Determine the average normal stress developed in rod AB if the load has a mass of 64 kg. The…

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Q: The strut is glued to the horizontal member at surface AB. If the strut has a thickness of 25 mm and…

A: The free-body diagram of the strut is given as, The length AB is given by formulae,…

Q: Determine the shear stress at point A on the surface of the shaft. Represent the state of stress on…

A: Write the twisting moment at the cross section containing point A.

Q: If the elongation of wire BC is 0.2 mm after the force P is applied, determine the magnitude of P.…

A: Given Data: The length of wire is l = 300 mm. The diameter of wire is d = 3 mm. The elongation in…

Q: The beam is supported by two rods AB and CD that have cross-sectional areas of 12 mm2 and 8 mm2,…

A: Applying the equilibrium condition,…

Q: The steel rod has a circular cross section. If it is loaded by a 500 lb vertical force as shown,…

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Q: The sign is subjected to the uniform wind loading. Determine the stress components at points A and B…

A: Point A:             σA=McI=10.5×103×0.05π40.054=107 MPa               τA=TcJ=3×103×0.05π40.054=15.3…

Q: The plate has a width of 0.5 m. If the stress distribution at the support varies as shown, determine…

A: Writing equilibrium equations:→∑FY=0 ⇒-P+∫04[(15.x)×(dx×0.5)]=0⇒P=15×23×[x23] 04×0.5⇒P=40 MNNow…

Q: The three suspender bars are made of A-36 steel and have equal cross-sectional areas of 450 mm2…

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Q: The thin-walled pipe has an inner diameter of 1.2 cm and a thickness of 0.06 cm. If it is subjected…

A: Determine the axial and hoop tension as follows.

Q: The A-36 steel pipe is subjected to the axial loading of 60 kN. Determine the change in volume of…

A: Given data: Axial load subjected on the pipe, P = 60 kN. The inner diameter of the pipe, di = 30…

Q: Q1: The 20-kg chandelier is suspended from the wall and ceiling using rods AB and BC, which have…

A: Mechanical Equilibrium: A body is said to be in mechanical equilibrium when the sum of the forces…

Q: 7-47. The 2-Mg concrete pipe has a center of mass at point G. If it is suspended from cables AB and…

A: Given data: Figure as shown                      Diameter of cable AC = 10 mm To determine: Cable AB…

Q: The 150 mm by 150 mm block of aluminum supports a compressive load of 6 kN. Determine the average…

A: Draw the diagram showing the section above the a-a plane. Here, x' and y' are the directions as…

Q: If the load has a weight of 2940 N, determine the magnitude of the maximum compressive normal stress…

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Q: 7-46. The 2-Mg concrete pipe has a center of mass at point G. If it is suspended from cables AB and…

A: Given, Mass of pipe, m=2 Mg=2000 kg The diameter of the cable AB, dAB=12 mm The diameter of the…

Q: The solid rod has a radius of 0.1 m. If it is subjected to the forces of 50 kN, 60 kN, and 80 kN,…

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Q: The long bolt passes through the 30-mm-thick plate. If the force in the bolt shank is 8 kN,…

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Q: The assembly consists of a solid 15 mm diameter rod connected to the inside of a tube using a rigid…

A: Given:d=15 mmDo=30 mmt=3 mmT1=50 N.m T2=30 N.mL1=0.1 mL2=0.2 mL3=0.3 m

Q: The bent shaft is fixed in the wall at A. If a force F is applied at B, determine the stress…

A: ∑Fx=0;   Vx-13cos 45ο=0⇒Vx=9.19 lb∑Fy=0;   Ny-13 cos45ο=0⇒Ny=9.19 lb∑Mx=0;  Mx-13…

Q: The steel pipe is filled with concrete and subjected to a compressive force of 75 kN. Determine the…

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Q: Two spanners are used to tighten the pipe. If P =200 N is applied to each spanner, determine the…

A: Given:P=200 ND=25 mmd=20 mm

Q: The board is subjected to a tensile force of 200 lb. Determine the average normal and average shear…

A: The magnitude of the tensile force is, W=200 lb The orientation of the plane is, θ=20° The breadth…

Q: The beam is supported by two rods AB and CD that have cross-sectional areas of 7mm2 and 15mm²,…

A: Solution Given data- d = 2m                      Aab = 15 mm2                      Acd = 7 mm2

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.