A non prismatic ABCD rod consists of a solid circular section segment given 3 pieces of...
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non prismatic ABCD rod consists of a solid circular section segment
given 3 pieces of...
A solid steel bar of circular cross section has diameter d = 40 mm, length L...
A solid steel bar of circular cross section has diameter d = 40 mm, length L = 1.3 m and shear modulus of elasticity G = 80 GPa. The bar is subjected to torques T acting at the ends. If the torques have magnitude T = 340 Nm, what is the maximum shear stress in the bar? What is the angle of twist between the ends? If the allowable shear stress is 42 MPa and the allowable angle of twist...
1. A steel bar with solid circular cross section has a diameter d= 2.5 in., a...
1. A steel bar with solid circular cross section has a diameter d= 2.5 in., a length L = 60 in. and a shear modulus of elasticity G = 1 1.5 × 106 psi. The bar is subjected to torque T- 350 lb-ft as shown. (a) Find the angle of twist between the d 2.5 in (b) Find the maximum shear stress in the (c) Find the shear stress ta at a distance (d) Find the shear stress Tcenter at...
1. A closely coiled helical spring made of 15 mm diameter steel wire has 15 coils...
1. A closely coiled helical spring made of 15 mm diameter steel
wire has 15 coils of 110 mm mean diameter. The spring is subjected
to an axial load of 180 N. Calculate the maximum shear stress
induced in the spring. Assume modulus of rigidity is 78 GPa.
2. A solid circular bar ABC consists of two segments, as shown
in the figure. One segment has diameter d1= 65 mm and
length L1 = 1.54 m; the other segment has...
3- (SKMMIH3/SME2113) from plastic having modulus of elasticity, E-4.0GPa a) Bar ABCD shown in Figure Q3a is made The bar consists of three segments, AB, BC, and CD. Segment AB is hollow and segm...
3- (SKMMIH3/SME2113) from plastic having modulus of elasticity, E-4.0GPa a) Bar ABCD shown in Figure Q3a is made The bar consists of three segments, AB, BC, and CD. Segment AB is hollow and segments BC and CD are solids If the shortening (contraction) of bar ABCD is limited to 4.0 mm, determine the maximum allowable force P to be applied at C. (8 marks) 90 mm ΟΙ 00 mm 1080 min PL 500 mm 250 mm 250 mm Figure Q3a...
A circular cross section steel bar with a Young’s modulus E=2.1x10^11 N/m^2 and an area A=50mm^2...
A circular cross section steel bar with a Young’s modulus
E=2.1x10^11 N/m^2
and an area A=50mm^2
and a
length L=3m
is installed horizontally between and welded to two walls.
Assuming that a torque of M=5,000Nm
is applied to the bar at a distance of l=2m
from the left wall please answer the following:
a. Is this system statically determinate or
indeterminate?
b. Determine:
i. What are the reactions from the walls?
ii. Plot the variation of torque in the bar....
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the ver...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
TORSION
a) A hollow circular shaft designed to have an inner diameter of 0.7Do; where Do is an outer diameter.i) Determine the inner and outer diameters of the shaft if the maximum allowable shearing stress is Y0 N/mm2 and torque is X00 kNm. Then, calculate the polar moment of inertia.ii) By using inner diameter calculated in (i), calculate the maximum shearing stress and a new torque, if the shaft is changed to solid circular shaft. The shaft is 1.5 m long with the twisted through...
Question 1 The motor shown in Fig. 1 supplies power to Gear C through solid steel...
Question 1 The motor shown in Fig. 1 supplies power to Gear C through solid steel motor shaft GF (having a diamet of 200 mm) and Gear F. The torque delivered to Gear C is 200 kNm. Gears A, B, D and E supply powers to er three machines. The torques delivered by gear A, gear B and gear E to the machines are 60 kNm, 30 kNm and 40 kNm, respectively. Shaft ABCDE is also made of steel (G...
A beam may have zero shear stress at a section but may not have zero deflection;...
A beam may have zero shear stress at a section but may not have zero deflection; Hence, bending is primarily caused by bending moment In Torsion loading a stress element in a circular rod is subject to shear state The principal plane and the plane on which the shear stresses are maximum, they make 90 degree angle between them. If the Torque on a steel circular shaft (G=80 GPa) is 13.3 kN-m and the allowable shear stress is 98 MPa,...
3. Power transmission is an important engineering application and relies on the integrity of the shaft designs. Assume a solid, circular steel shaft with a uniform diameter d 50 mm and a total le...
3. Power transmission is an important engineering application and relies on the integrity of the shaft designs. Assume a solid, circular steel shaft with a uniform diameter d 50 mm and a total length I3 m. At its midpoint, a belt passes over a pulley and delivers 50 kW power to the shaft. This power is used to drive two machines at either end of the shaft. Machine 1 consumes P1 20 kW and machine 2 uses P230 KW. The...
1. A steel bar with solid circular cross section has a diameter d= 2.5 in., a length L = 60 in. and a shear modulus of elasticity G = 1 1.5 × 106 psi. The bar is subjected to torque T- 350 lb-ft as shown. (a) Find the angle of twist between the d 2.5 in (b) Find the maximum shear stress in the (c) Find the shear stress ta at a distance (d) Find the shear stress Tcenter at...
1. A closely coiled helical spring made of 15 mm diameter steel
wire has 15 coils of 110 mm mean diameter. The spring is subjected
to an axial load of 180 N. Calculate the maximum shear stress
induced in the spring. Assume modulus of rigidity is 78 GPa.
2. A solid circular bar ABC consists of two segments, as shown
in the figure. One segment has diameter d1= 65 mm and
length L1 = 1.54 m; the other segment has...
3- (SKMMIH3/SME2113) from plastic having modulus of elasticity, E-4.0GPa a) Bar ABCD shown in Figure Q3a is made The bar consists of three segments, AB, BC, and CD. Segment AB is hollow and segments BC and CD are solids If the shortening (contraction) of bar ABCD is limited to 4.0 mm, determine the maximum allowable force P to be applied at C. (8 marks) 90 mm ΟΙ 00 mm 1080 min PL 500 mm 250 mm 250 mm Figure Q3a...
A circular cross section steel bar with a Young’s modulus
E=2.1x10^11 N/m^2
and an area A=50mm^2
and a
length L=3m
is installed horizontally between and welded to two walls.
Assuming that a torque of M=5,000Nm
is applied to the bar at a distance of l=2m
from the left wall please answer the following:
a. Is this system statically determinate or
indeterminate?
b. Determine:
i. What are the reactions from the walls?
ii. Plot the variation of torque in the bar....
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
Question 1 The motor shown in Fig. 1 supplies power to Gear C through solid steel motor shaft GF (having a diamet of 200 mm) and Gear F. The torque delivered to Gear C is 200 kNm. Gears A, B, D and E supply powers to er three machines. The torques delivered by gear A, gear B and gear E to the machines are 60 kNm, 30 kNm and 40 kNm, respectively. Shaft ABCDE is also made of steel (G...
A beam may have zero shear stress at a section but may not have zero deflection; Hence, bending is primarily caused by bending moment In Torsion loading a stress element in a circular rod is subject to shear state The principal plane and the plane on which the shear stresses are maximum, they make 90 degree angle between them. If the Torque on a steel circular shaft (G=80 GPa) is 13.3 kN-m and the allowable shear stress is 98 MPa,...
3. Power transmission is an important engineering application and relies on the integrity of the shaft designs. Assume a solid, circular steel shaft with a uniform diameter d 50 mm and a total length I3 m. At its midpoint, a belt passes over a pulley and delivers 50 kW power to the shaft. This power is used to drive two machines at either end of the shaft. Machine 1 consumes P1 20 kW and machine 2 uses P230 KW. The...
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