Data taken from a stressstrain test for a ceramic are given in the table. The curve is linear between the origin and the first point. Plot the diagram, and determine the modulus of elasticity and the...

Data taken from a stressstrain test for a ceramic are given in the table. The curve is linear between the origin and the first point. Plot the diagram, and determine approximately the modulus of...

The stressstrain diagram for a steel alloy having an original diameter of 0.5 in. and a gage length of 2 in. is given in the figure. Determine approximately the modulus of resilience and the modulus...

The brace and drill bit is used to drill a hole at O. If the drill bit jams when the brace is subjected to the forces shown, determine the resultant internal loadings acting on the cross section of...

If P = 15 kN, determine the average shear stress in the pins at A, B, and C. All pins are in double shear, and each has a diameter of 18 mm. 4P 4P 2P 0.5 m 0.5,m -1.5 m -1 m--1.5 m 307

The elastic portion of the tension stressstrain diagram for an aluminum alloy is shown in the figure. The specimen used for the test has a gage length of 2 in. and a diameter of 0.5 in. When the...

When the temperature is at 30°C, the A-36 steel pipe fits snugly between the two fuel tanks. When fuel flows through the pipe, it causes the temperature to vary along the pipe as T = (5/3 x 2 -...

When the temperature is at 30°C, the A-36 steel pipe fits snugly between the two fuel tanks. When fuel flows through the pipe, the temperatures at ends A and B rise to 130°C and 80°C,...

The bronze C86100 pipe has an inner radius of 0.5 in. and a wall thickness of 0.2 in. If the gas flowing through it changes the temperature of the pipe uniformly from T A = 200F at A to T B =...

The assembly has the diameters and material indicated. If it fits securely between its fixed supports when the temperature is T 1 = 70F, determine the average normal stress in each material when the...

The solid shaft is subjected to the distributed and concentrated torsional loadings shown. Determine the required diameter d of the shaft if the allowable shear stress for the material is Ï...

The copper pipe has an outer diameter of 3 in. and an inner diameter of 2.50 in. If it is tightly secured to the wall at C and it is subjected to the uniformly distributed torque along its entire...

The copper pipe has an outer diameter of 2.50 in. and an inner diameter of 2.30 in. If it is tightly secured to the wall and three torques are applied to it, determine the shear stress developed at...

A shaft is made of an aluminum alloy having an allowable shear stress of Ï allow = 100 MPa. If the diameter of the shaft is 100 mm, determine the maximum torque T that can be transmitted. What...

The solid shaft of radius r is subjected to a torque T. Determine the radius r­' of the inner core of the shaft that resists one-quarter of the applied torque (T/4). Solve the problem two ways:...

The solid shaft of radius r is subjected to a torque T. Determine the radius r­ of the inner core of the shaft that resists one-half of the applied torque (T>2). Solve the problem two ways: (a)...

A thin strip of rubber has an unstretched length of 15 in. If it is stretched around a pipe having an outer diameter of 5 in., determine the average normal strain in the strip.

If the load P on the beam causes the end C to be displaced 10 mm downward, determine the normal strain in wires CE and BD. 4 m -2 m-2m-| 3 m- -

The blade of the hacksaw is subjected to a pretension force of F = 100 N. Determine the resultant internal loadings acting on section aa that passes through point D. -225 mm 30%, D 150 mm

Determine the required minimum thickness t of member AB and edge distance b of the frame if P = 9 kip and the factor of safety against failure is 2. The wood has a normal failure stress of Ï...

If the allowable tensile stress for the bar is (Ï t ) allow = 21 ksi, and the allowable shear stress for the pin is Ï allow = 12 ksi, determine the diameter of the pin so that the load P...

The nylon cord has an original length L and is tied to a bolt at A and a roller at B. If a force P is applied to the roller, determine the normal strain in the cord when the roller is at C, and at D....

The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. Determine the displacement of end A with respect to end D and the normal stress in each...

The A-36 steel shaft has a diameter of 50 mm and is subjected to the distributed and concentrated loadings shown. Determine the absolute maximum shear stress in the shaft and plot a graph of the...

The rigid beam is supported by the three posts A, B, and C. Posts A and C have a diameter of 60 mm and are made of a material for which E = 70 GPa and Ï Y = 20 MPa. Post B is made of a material...

The bar has a cross-sectional area of 0.5 in 2 and is made of a material that has a stressstrain diagram that can be approximated by the two line segments. Determine the elongation of the bar due to...

The resulting stress distribution along section AB for the bar is shown. From this distribution, determine the approximate resultant axial force P applied to the bar. Also, what is the stress...

Determine the maximum normal stress developed in the bar when it is subjected to a tension of P = 2 kip. 0.125 in. 1.875 in. 1.25 in. r = 0.25 in. 0.75 in.

The assembly consists of two posts AB and CD each made from material 1 having a modulus of elasticity of E 1 and a cross-sectional area A1, and a central post EF made from material 2 having a modulus...

The 2014-T6 aluminum rod AC is reinforced with the firmly bonded A992 steel tube BC. If the assembly fits snugly between the rigid supports so that there is no gap at C, determine the support...

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 60-mm-diameter solid shaft is made of A-36 steel and is subjected to the distributed and concentrated torsional loadings shown. Determine the angle of twist at the free end A of the shaft due to...

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 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 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 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

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 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 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,...

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.

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...

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 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...

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

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 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 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...

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

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...

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

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...

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 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....

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 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