A prismatic shaft consists of a solid brass rod of diameter 32 mm, which is inside a steel tube of diameter 50 mm. 2GB) Both shafts are firmly (Gs jointed. The combined assembly is subjected to a torque of 1000 Nm. calculate maximum shear stress = developed in steel in N/mm2 (up to 2 decimals)

A prismatic shaft consists of a solid brass rod of diameter 32 mm, which is inside a steel tube of diameter 50 mm. 2GB) Both shafts are firmly (Gs jointed. The combined assembly is subjected to a torque of 1000 Nm. calculate maximum shear stress = developed in steel in N/mm2 (up to 2 decimals)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

need fast
The steel bar AB has a diameter of 30mm and is connected to the brass bar BC. The two bars are fixed to unyielding supports at the top (point A) and bottom (point C) ends. If there is a temperature rise of 50°C, calculate the compressive force induced in the rods (ABC). Note: For steel (E = 200 GPa, as = 11.7 x 106 °C) and for brass (E = 105 GPa, qb= 20.9 x 10-6/ °C). 250 mm 300 mm A B -30-mm diameter -50-mm diameter
Compound axial member ABC has a uniform diameter of d = 1.25 in. • Segment (1) is an aluminum [E1 = 10000 ksi] alloy. The length of segment (1) is L1 = 100 in. • Segment (2) is a copper [E2 = 17000 ksi] alloy. The length of segment (2) is L2 = 140 in. When axial force Pis applied, a strain gage attached to copper segment (2) measures a normal strain of ɛ2 = 2300 uin./in. in the longitudinal direction. What is the total elongation of member ABC? L2 (1) Aluminum B (2) Copper Answer: in, AL = i
a) Determine the force P (in kN) required to stretch the Aluminum bar by 3mm. B) Determine the final width and thickness of the Aluminum bar. (1)
The compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.95 in., a length of L1 = 50 in., a shear modulus of 3800 ksi, and an allowable shear stress of 6.7 ksi. Brass segment (2) has an outside diameter of 0.85 in., a wall thickness of 0.13 in., a length of L2 = 38 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.0 ksi. Determine:(a) the allowable torque TB that can be applied to the compound shaft at flange B.(b) the magnitudes of the internal torques in segments (1) and (2).(c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB.
The question is below.
The aluminum rod AB (Gal = 27 GPa) is bonded to the brass rod BD (Gbr = 39 GPa). The portion CD of the brass rod is hollow and has an inner diameter of 40 mm. If the allowable shear stresses for the aluminum and brass are 90 MPa and 70 MPa, respectively, and the allowable angle of twist of the free end A is 6 degrees, determine the maximum permissible value of T
Two steel rods are welded together (see figure);the seam is oriented at angle θ = 50°. The stresses onthe rotated element are σ x1 = 10 ksi, σy1 = -12 ksi,and τx1y1 = -5 ksi. Find the state of plane stress onthe element if it is rotated clockwise to align the x1axis with the longitudinal axis of the rods.
Problem 3: Inside a steel tube, 2.4 meters long, 34 mm radius, and 1.5 mm thick, 32.5A circular bar made of aluminum with a radius of mm is inserted and these two materials arethey are linked together to form a cross section that will work. This cantilever beam obtained from end Ait is fixedly supported. This cantilever beam,A torque of T = 900 Nm from end B(torque) is applied. Stiffness modulus of steel, Strength= 77 GPa and the stiffness modulus of aluminum Gal = 26Since GPa is the rotation at point BWhat is the (torsion) angle? Calculate.
Q4: For the figure below, determine the principal stresses and show them on a sketch of a properly oriented element. Also, find the maximum shear stresses and show them on a sketch of a properly oriented element. (Consider only the in-plane stresses.) -30MPA 90 MPa -34MPA
Load P is applied to joint D and the temperature increases by 50 °F. There are two steel (E = 29*10^6 psi; a = 6.5*10^-6/°F) AD and DC and a bronze (E = 16*10^6 psi; a = 9*10^-6/°F) BD with a length of 50 inches. Each bar is a 0.75 inch diameter. Find the deformation of every rod, the displacement at D, and the stress in each rod.
A magnesium-alloy rod (E = 6.5 x 10 ksi) of Prob. 3.4-6. diameter d 1 in. is encased by a brass tube (E 15 x 10 ksi) with outer diameter d. = 1.5 in.; both have length. L = 20 in. An axial load P = 10 kips is applied to the resulting bimetallic rod. (a) Determine the normal stresses and , in each material, assuming that the magnesium rod and brass tube are securely bonded to each other. (b) Determine the elongation of the bimetallic rod. P