The rigid bar is pinned at A and supported by two aluminum rods, each having a diameter of 1 in. and a modulus of elasticity E al = 10(103) ksi. If the bar is initially vertical, determine the...

The shaft is made of A992 steel with the allowable shear stress of Ï allow = 75 MPa. If gear B supplies 15 kW of power, while gears A, C and D withdraw 6 kW, 4 kW and 5 kW, respectively,...

The device shown is used to mix soils in order to provide in-situ stabilization. If the mixer is connected to an A-36 steel tubular shaft that has an inner diameter of 3 in. and an outer diameter of...

The steel shaft is made from two segments: AC has a diameter of 0.5 in, and CB has a diameter of 1 in. If the shaft is fixed at its ends A and B and subjected to a torque of 500 lb # ft, determine...

The Am1004-T61 magnesium tube is bonded to the A-36 steel rod. If the allowable shear stresses for the magnesium and steel are (Ï allow ) mg = 45 MPa and (Ï allow ) st = 75 MPa,...

The two shafts are made of A-36 steel. Each has a diameter of 25 mm and they are connected using the gears fixed to their ends. Their other ends are attached to fixed supports at A and B. They are...

The A-36 steel circular tube is subjected to a torque of 10 kN # m. Determine the shear stress at the mean radius Ï = 60 mm and calculate the angle of twist of the tube if it is 4 m long and...

The shaft is fixed to the wall at A and is subjected to the torques shown. Determine the maximum shear stress in the shaft. A fillet weld having a radius of 2.75 mm is used to connect the shafts at...

The 304 stainless steel tube has a thickness of 10 mm. If the applied torque is T = 50 N # m, determine the average shear stress in the tube. The mean dimensions are shown. 30 mm 70 mm

The tube has a length of 2 m and is made of an elastic perfectly plastic material as shown. Determine the torque needed to just cause the material to become fully plastic. What is the permanent angle...

The 2-m-long tube is made of an elastic perfectly plastic material as shown. Determine the applied torque T, which subjects the material at the tube's outer edge to a shear strain of max = 0.006...

The solid shaft is made of an elastic perfectly plastic material. Determine the torque T needed to form an elastic core in the shaft having a radius of Ï Y = 20 mm. If the shaft is 3 m long,...

For a given maximum average shear stress, determine the factor by which the torque-carrying capacity is increased if the half-circular section is reversed from the dashed-line position to the section...

If the solid shaft is made from red brass C83400 and it is subjected to a torque T = 6 kip # ft at B, determine the maximum shear stress developed in segments AB and BC. 2 ft 2 in. 2 in. 4 ft 70 4...

The crane is used to support the engine, which has a weight of 1200 lb. Draw the shear and moment diagrams of the boom ABC when it is in the horizontal position. - 3 ft -5 ft- 4 ft

Draw the shear and moment diagrams for the beam. 300 Ib 300 lb 200 lb/ft 4 ft 6 ft 4 ft

Draw the shear and moment diagrams for the beam. Mo Mo L/2- -L/2

The 150-lb man sits in the center of the boat, which has a uniform width and a weight per linear foot of 3 lb/ft. Determine the maximum internal bending moment. Assume that the water exerts a uniform...

Draw the shear and moment diagrams for the beam. Discuss. 800 Ib/ft 800 lb/ft 8 ft- 8 ft

Draw the shear and moment diagrams for the beam. 18 kN/m 12 kN/m A 3 m

The shaft is supported by a smooth thrust bearing at A and smooth journal bearing at B. Draw the shear and moment diagrams for the shaft. 400 N-m A 1 m- -1m- -1m- 900 N

Draw the shear and moment diagrams for the cantilever beam. 2 kN 3 kN-m 1.5 m- -1.5 m-

An A-36 steel strip has an allowable bending stress of 165 MPa. If it is rolled up, determine the smallest radius r of the spool if the strip has a width of 10 mm and a thickness of 1.5 mm. Also,...

Draw the shear and moment diagrams for the double overhanging beam. 400 lb 400 Ib 200 lb/ft -3 ft 6 ft -3 ft-

If the built-up beam is subjected to an internal moment of M = 75 kN m, determine the maximum tensile and compressive stress acting in the beam. 150 mm 20 mm- 50 mm 150 mm 10 mm 10 mm 300 mm

If the built-up beam is subjected to an internal moment of M = 75 kN m, determine the amount of this internal moment resisted by plate A.

Determine the moment M that should be applied to the beam in order to create a compressive stress at point D of Ï D = 10 MPa. Also sketch the stress distribution acting over the cross section...

The beam is subjected to a moment of 15 kip ft. Determine the resultant force the bending stress produces on the top flange A and bottom flange B. Also calculate the maximum bending stress developed...

The boat has a weight of 2300 lb and a center of gravity at G. If it rests on the trailer at the smooth contact A and can be considered pinned at B, determine the absolute maximum bending stress...

The shaft is supported by a thrust bearing at A and journal bearing at C. If the material has an allowable bending stress of Ï allow = 24 ksi, determine the required minimum diameter d of the...

Determine the absolute maximum bending stress in the 2-in.-diameter shaft. There is a journal bearing at A and a thrust bearing at B. 900 Ib 300 lb 12 in. 24 in. 18 in.

Determine the absolute maximum bending stress in the beam, assuming that the support at B exerts a uniformly distributed reaction on the beam. The cross section is rectangular with a base of 3 in....

Determine the absolute maximum bending stress in the 80-mm-diameter shaft which is subjected to the concentrated forces. There is a journal bearing at A and a thrust bearing at B. A 0.5 m -0.6 m- 0.4...

Determine the bending stress at point A of the beam using the result obtained in Prob. 6106. The moments of inertia of the cross-sectional area about the z and y axes are I z = I y = 5.561 in 4 and...

The bar is subjected to a moment of M = 100 N # m. Determine the maximum bending stress in the bar and sketch, approximately, how the stress varies over the critical section. 80 mm 20 mm 10 mm 10 mm...

The wooden section of the beam is reinforced with two steel plates as shown. Determine the maximum moment M that the beam can support if the allowable stresses for the wood and steel are (Ï...

If the radius of each notch on the plate is r = 10 mm, determine the largest moment M that can be applied. The allowable bending stress is Ï allow = 180 MPa. 20 mm 125 mm- 165 mm

If the beam is subjected to a shear of V = 30 kN, determine the webs shear stress at A and B. Indicate the shear-stress components on a volume element located at these points. Set w = 200 mm. Show...

The compound beam consists of two segments that are pinned together at B. Draw the shear and moment diagrams if it supports the distributed loading shown. - -1/3 L- - 2/3 L-

The strut has a square cross section a by a and is subjected to the bending moment M applied at an angle θ as shown. Determine the maximum bending stress in terms of a, M, and...

The curved beam is subjected to a bending moment of M = 85 N · m as shown. Determine the stress at points A and B and show the stress on a volume element located at these points. M = 85 N-m...

A shaft is made of a polymer having a parabolic upper and lower cross section. If it resists a moment of M = 125 N · m, determine the maximum bending stress in the material (a) using the...

Determine the shape factor for the wide-flange beam. 20 mm 30 mm 180 mm 120 mm 180 mm

The beam is made of phenolic, a structural plastic that has the stressstrain curve shown. If a portion of the curve can be represented by the equation Ï = (5(10 6 )ε) 1/2 MPa,...

The bar is made of an aluminium alloy having a stressstrain diagram that can be approximated by the straight line segments shown. Assuming that this diagram is the same for both tension and...

A beam is made from polypropylene plastic and has a stressstrain diagram that can be approximated by the curve shown. If the beam is subjected to a maximum tensile and compressive strain of...

The beam is made of elastic perfectly plastic material. Determine the maximum elastic moment and the plastic moment that can be applied to the cross section. Take a = 50 mm and Ï Y = 230 MPa. 2a

Determine the shape factor for the beam. 10 mm 15 mm 200 mm M, 10 mm 200 mm

The box beam is made of an elastic perfectly plastic material for which Ï Y = 250 MPa. Determine the residual stress in the top and bottom of the beam after the plastic moment M p is applied and...

The beam is made of elastic perfectly plastic material. Determine the maximum elastic moment and the plastic moment that can be applied to the cross section. Take Ï Y = 36 ksi. 1.5 in! 3 in.....

Determine the plastic moment M p that can be supported by a beam having the cross section shown. Ï Y = 30 ksi. 2 in. -1 in. M, 10 in. K1 in.

The member has a circular cross section. If the allowable bending stress is Ï allow = 100 MPa, determine the maximum moment M that can be applied to the member.

If the beam is subjected to a shear of V = 15 kN, determine the webs shear stress at A and B. Indicate the shear-stress components on a volume element located at these points. Set w = 125 mm. Show...

The beam is slit longitudinally along both sides. If it is subjected to a shear of V = 250 kN, compare the maximum shear stress in the beam before and after the cuts were made. 25 mm 200 mm 25 mm 100...

A shear force of V = 300 kN is applied to the box girder. Determine the shear flow at points A and B. 90 mm 90 mm 100 mm 200 mm 190 mm 10 mm 200 mm 180 mm 10 mm

A shear force of V = 450 kN is applied to the box girder. Determine the shear flow at points C and D. 90 mm 90 mm 100 mm 200 mm 190 mm -10 mm 200 mm I80 mm 10 mm

The beam is constructed from two boards fastened together at the top and bottom with three rows of nails spaced every 4 in. If each nail can support a 400-lb shear force, determine the maximum shear...

The double T-beam is fabricated by welding the three plates together as shown. If the weld can resist a shear stress tallow = 90 MPa, determine the maximum shear V that can be applied to the beam. 20...

Determine the maximum shear stress acting at section aa in the beam. 8000 lb 150 lb/ft B. 4 ft 4 ft 1.5 ftT1.5 ft

The member is subject to a shear force of V = 2 kN. Determine the shear flow at points A, B, and C. The thickness of each thin-walled segment is 15 mm. 200 mm 100 mm 300 mm V = 2 kN

The T-beam is constructed as shown. If each nail can support a shear force of 950 lb, determine the maximum shear force V that the beam can support and the corresponding maximum nail spacing s to the...

The box beam is constructed from four boards that are fastened together using nails spaced along the beam every 2 in. If a force P = 2 kip is applied to the beam, determine the shear force resisted...

A thin plate of thickness t is bent to form the beam having the cross section shown. Determine the location of the shear center O.

The screw of the clamp exerts a compressive force of 500 lb on the wood blocks. Determine the maximum normal stress along section aa. The cross section is rectangular, 0.75 in. by 0.50 in. 4 in. 0.75...

The column is built up by gluing the two boards together. If the wood has an allowable normal stress of Ï allow = 6 MPa, determine the maximum allowable eccentric force P that can be applied to...

The column is built up by gluing the two boards together. Determine the maximum normal stress on the cross section when the eccentric force of P = 50 kN is applied. 150 mm 250 mm 75 mm 150 mm 50 mm...

The ring, having the dimensions shown, is placed over a flexible membrane which is pumped up with a pressure p. Determine the change in the inner radius of the ring after this pressure is applied....

The pin support is made from a steel rod and has a diameter of 20 mm. Determine the stress components at points C and D and represent the results on a volume element located at each of these points....

The wall hanger has a thickness of 0.25 in. and is used to support the vertical reactions of the beam that is loaded as shown. If the load is transferred uniformly to each strap of the hanger,...

Solve Prob. 840 for point B. 100 mm 300 mm 100 N-m 1500 N 800 N 600 N

The wall hanger has a thickness of 0.25 in. and is used to support the vertical reactions of the beam that is loaded as shown. If the load is transferred uniformly to each strap of the hanger,...

The gondola and passengers have a weight of 1500 lb and center of gravity at G. The suspender arm AE has a square cross-sectional area of 1.5 in. by 1.5 in., and is pin connected at its ends A and E....

The 20-kg drum is suspended from the hook mounted on the wooden frame. Determine the state of stress at point F on the cross section of the frame at section bb. Indicate the results on an element. 50...

Determine the normal stress and shear stress acting on the inclined plane AB. Solve the problem using the method of equilibrium described in Sec. 9.1. 15 ksi 60 5 ksi

The pin support is made from a steel rod and has a diameter of 20 mm. Determine the stress components at points A and B and represent the results on a volume element located at each of these points....

Determine the maximum ram force P that can be applied to the clamp at D if the allowable normal stress for the material is Ï allow = 180 MPa. a D -200 mm-| 10 mm HTao mm 10 mm 60 mm

The C-frame is used in a riveting machine. If the force at the ram on the clamp at D is P = 8 kN, sketch the stress distribution acting over the section aa. -200 mm- 10 mm 40 mm -10 mm 60 mm

The coiled spring is subjected to a force P. If we assume the shear stress caused by the shear force at any vertical section of the coil wire to be uniform, show that the maximum shear stress in the...

The vertebra of the spinal column can support a maximum compressive stress of Ï max , before undergoing a compression fracture. Determine the smallest force P that can be applied to a vertebra,...

Determine the stress components acting on the inclined plane AB. Solve the problem using the method of equilibrium described in Sec. 9.1. 50 MPa A 100 MPa 60 B

The solid rod is subjected to the loading shown. Determine the state of stress at point B, and show the results on a differential volume element located at this point. 200 mm 200 mm 20 kN 'B 100 kN...

The solid rod is subjected to the loading shown. Determine the state of stress at point A, and show the results on a differential volume element located at this point. 200 mm 200 mm 20 kN 'B 100 kN...

The frame supports the distributed load shown. Determine the state of stress acting at point E. Show the results on a differential element at this point. 4 kN/m 20 mm 60 mm BA 20 mm D. 50 mm -3 m...

The rib-joint pliers are used to grip the smooth pipe C. If the force of 100 N is applied to the handles, determine the state of stress at points A and B on the cross section of the jaw at section...

Determine the normal stress and shear stress acting on the inclined plane AB. Solve the problem using the stress transformation equations. Show the results on the sectional element. 15 ksi 60 JA, 6...

Determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. 200 MPa 100 MPa 300 MPa

Solve Prob. 911 using Mohrs circle Data from 9-11 Determine the equivalent state of stress on an element at the same point oriented 60° clockwise with respect to the element shown. 100 MPa 75 MPa...

Solve Prob. 915 using Mohrs circle. Data from 9-15 60 MPa 30 MPa 45 MPa

The grains of wood in the board make an angle of 20° with the horizontal as shown. Determine the normal and shear stress that act perpendicular and parallel to the grains if the board is...

Mohrs circle for the state of stress is shown in Fig. 917a. Show that finding the coordinates of point P (sx, txy) on the circle gives the same value as the stress transformation Eqs. 91 and 92.

Determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case. 12 ksi 20 ksi 10 ksi

Determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case. 50 MPa 30 MPa

Determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case. 20 MPa 100 MPa 40 MPa

Determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case. A 200 MPa 100 MPa - 150 MPa

Determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case. 10 ksi 8 ksi 15 ksi

A spherical pressure vessel has an inner radius of 5 ft and a wall thickness of 0.5 in. Draw Mohrs circle for the state of stress at a point on the vessel and explain the significance of the result....

The post is fixed supported at its base and the loadings are applied at its end as shown. Determine (a) the maximum in-plane shear stress developed at A and (b) the principal stresses at A. 1900 lb...

Determine the principal stresses and the absolute maximum shear stress. 2.5 ksi 4 ksi 5 ksi

Determine the stress components acting on the inclined plane AB. Solve the problem using the method of equilibrium described in Sec. 9.1. 14 ksi 20 ksi 50 B.

Determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. 60 MPa 30 MPa 45 MPa