Knowing that the hole has a diameter of 9 mm, determine (a) the radius rf of the fillets for which the same maximum stress occurs at the hole A and at the fillets, (b) the corresponding maximum allowable load P if the allowable stress is 100 MPa. 9 mm 9 mm 96 mm 60 mm 9 mm

Q: Two members of uniform cross section 50 *80 mm are glued together along plane a–a that forms an…

A: Draw the stress element of the cross-section.

Q: A short column is made by nailing two 1 * 4-in. planks to a 2 * 4-in. timber. Determine the largest…

A: Given Data: The top surface area of center plank (A) is of (2 inchx4 inch) The top surface area of…

Q: A 5.3-m-long steel rod must not stretch more than 2.71 mm and the normal stress must not exceed 181…

A: GivenL=5.3m∆lim=2.71mmσallow=181MPaE=193.3 GPa=193.3×103 N/mm2P=9.99 KN

Q: Q1 The curved portion of the bar shown has an inner radius of 20 mm. Knowing that the allowable…

A: Given,

Q: The rigid beam BC is supported by rods (1) and (2). The cross-sectional area of rod (1) is 9 mm².…

A: Given:A1=9 mm2A2=18 mm2w=4.5 KN/mL=3.70 m

Q: The smallest allowable outer diameter d of the washers is mm.

A:

Q: A short wooden post supports a 6-kip axial load as shown. Determine the stress at point A when (a)…

A: Determine the area and moment of inertia of the cylindrical body,

Q: Question- 1) Two gage marks are placed exactly 270 mm apart on a 10-mm-diameter aluminum rod with E…

A: Given data: - The distance between gage is L' = 270 mm. The distance between gage after a load is…

Q: A 1-in. square (thickness 0.12-in) plate was subjected to a uniform load of 0.72 kip/in in the…

A: Givensquare platea=1int=0.12inFx=0.72 kip/inFy=1.44 kip/inE=29×106 psiv=0.3

Q: The compressed air tank AB has a 250-mm outside diameter and a 10-mm wall thickness. The arm BC is…

A: Stress calculations:

Q: ogeth le of 25° with the horizontal. Knowing that the allowable str 0 kPa and t = 600 kPa, determine…

A:

Q: Two solid cylindrical rods AB and BC are welded together at B and loaded as shown Knowing that the…

A: Solution:

Q: A steel pipe of 300-mm outer diameter is fabricated from an 8-mm-thick plate by welding along a…

A: Outer diameter d0= 300 mm Force P = 250 kNThickness =8 mmTorque,T=12 kN.mTo determine:a)The normal…

Q: The 4-mm-diameter cable BC is made of a steel with E= 200 GPa. Knowing that the maximum stress in…

A: Given:Cable diameter = 4mmE =200 GPaMax Stress 190

Q: Two wooden members of uniform rectangular cross section are joined by the simple glued scarf splice…

A: Given data: Applied force, P = 11 kN. Resolve the force P into normal and tangential components. F…

Q: 4. A load P is applied concentrically to the bar shown. If the allowable normal stress is 76 ksi,…

A:

Q: The truss shown consists of wooden members. Knowing that each member has a 100 x 100 mm. square…

A:

Q: The rigid beam BC is supported by rods (1) and (2). The cross-sectional area of rod (1) is 9 mm².…

A:

Q: The rigid bar ABC shown is hinged at A and supported by a steel rod at B. Determine the largest load…

A:

Q: The rigid beam BC is supported by rods (1) and (2). The cross-sectional area of rod (1) is 7 mm².…

A:

Q: determine the largest load P t

A:

Q: An offset h must be introduced into a metal tube of 0.75-in. outer diameter and 0.08-in. wall…

A:

Q: 1.3 Two solid cylindrical rods AB and BC are welded together at B and = loaded as shown. Knowing…

A: Given P = 10 kips To find Average normal stress

Q: The truss shown consists of wooden members. Knowing that each member has a 100 x 100 mm. square…

A:

Q: A 6.87-m-long steel rod must not stretch more than 2.5 mm and the normal stress must not exceed 181…

A:

Q: The centric force P is applied to a short post as shown. Knowing that the stresses on plane a–a are…

A: Given data as per the question σ=215 ksi  τ= 5 ksi cosβ=ADEADFADF=ADEcosβADF=ADEsecβforce acting on…

Q: Problem 2. A steel tube of outer radius 5.8 cm is used to axially support a 100 kN load. If the…

A:

Q: ortion of that link when (a) 0=0°, (b) 0–90°. -12 in- 2 in. S in

A:

Q: (d) the average bearing stress at C in member BC, (e) the average bearing stress at B in member BC.

A:

Q: The rigid beam BC is supported by rods (1) and (2). The cross-sectional area of rod (1) is 9 mm².…

A: Given: The cross sectional area of rod 1A1=9 mm2=9×10-6m2 The cross sectional area of rod 2A2=18…

Q: Two wooden members of uniform rectangular 150 mm cross-section are joined by a simple glued scarf…

A: Given: Maximum permissible shear stress τmax=620kPa

Q: wo wooden boards, measuring 15 mm thick and 225 mm wide, are joined by the socket joint shown.…

A:

Q: A rod must not stretch more than 6  mm when the tension in the wire is 8 kN. Knowing that E = 105…

A:

Q: A steel shaft (G=77 GPa) & an (Al) tube (G = 27 GPa) are connected to a fixed support & a rigid disk…

A: Given: Steel shaft             d =50mm         τallow = 120 MPa         Js =(π/32)*d4…

Q: A 12-kN tensile load will be applied to a 50-m length of steel wire with E= 200 GPa. Determine the…

A:

Q: The rigid beam BC is supported by rods (1) and (2). The cross-sectional area of rod (1) is 7 mm?.…

A: Given Data: Area of rod 1, A1=7 mm2 Area of rod 2 A2=19 mm2

Q: A block of 10-in. length and 1.8 3 1.6-in. cross section is to sup-port a centric compressive load…

A: length, L=10-in Sides of the block a=1.8 in,   b=1.6 in normal stress = 18 ksi…

Q: Two solid cylindrical rods AB and BC are welded together at Band loaded as shown. Determine the…

A:

Q: a steel rod AB with the diameter of 5.8in is inserted into a circular hole at the end C of th wooden…

A:

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.