For the beam shown below, determine the required thickness (h) for a rectangular cross section with a given width of 2 inches (b = 2 in.) using the maximum distortional energy theory. A safety factor of 1.5 is required (n = 1.5) and the shaft is made from steel (Sy = 60 ksi and E = 30 Mpsi). F₂= 1200 lbf F₁ = 800 lbf 24 in. RA 24 in. 48 in. RB

For the beam shown below, determine the required thickness (h) for a rectangular cross section with a given width of 2 inches (b = 2 in.) using the maximum distortional energy theory. A safety factor of 1.5 is required (n = 1.5) and the shaft is made from steel (Sy = 60 ksi and E = 30 Mpsi). F₂= 1200 lbf F₁ = 800 lbf 24 in. RA 24 in. 48 in. RB

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

A bronze pipe (1) is to be connected to an aluminum alloy pipe (2) at flange B. When put in place, however, a gap of A = 0.35 in. exists between the two pipes. Bronze pipe (1) has an elastic modulus of E1 = 16,000 ksi, a cross-sectional area of A1 = 2.66 in.?, and a length of L1 = 6.7 ft. Aluminum alloy pipe (2) has an elastic modulus of E2 = 10,000 ksi, a cross-sectional area of A2 = 1.37 in.2, and a length of L2 = 10.2 ft. If bolts are inserted in the flanges and tightened so that the gap at B is closed, determine: (a) the normal stresses produced in each of the members. (b) the final position of flange B with respect to support A. L2 В (1) Answer: (a) 01 = ksi 02 = ksi (b) ÕB/A = in.
The figure shows a cutaway view of an assembly in which a solid bronze [G= 6,500 ksi] rod (1) is fitted inside of an aluminum alloy [G = 4,000 ksi] tube (2). The tube is attached to a fixed plate at C, and both the rod and the tube are welded to a rigid end plate at A. The rod diameter is d₁ = 1.55 in. The outside diameter of the tube is D₂ = 2.8 in. and its wall thickness is t₂ = 0.115 in. Overall dimensions of the assembly are a = 35 in. and b = 11 in. The allowable shear stresses for the bronze and aluminum materials are 9800 psi and 8500 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 4.2°. Based on these constraints, what is the maximum torque Tg that can be applied at end B? Fixed End plate plate di TB Rod (1) D₂ Answer: TB = A Tube (2) a lb-in b B
Both portions of the rod ABC are made of an aluminum for which E= 69GPa. Knowing that the magnitude of Q is 31089 N, m = 0.37 m, and n = 0.59 m, determine the value of P (in N) so that the deflection at A is zero. Express your answer in four decimal places. 20-mm diameter m J B 60-mm diameter
A steel cantilever beam 6 m in length is subjected to a concentrated load of 120 N acting at the free end of the bar. The cross section of the beam is shown below. deep. Determine the magnitude and location of the maximum tensile and compressive bending stresses in the beam. As usual, neglect the weight of the beam. 4mm 120 N 1mm 1mm 6mm 6m 1mm 4mm
3 The piece of plastic is originally rectangular. Calculate the shear strain Yxy at corners A and B if the plastic distorts as shown by the dashed lines. 2 mm 300 mm 2 mm D -400 mm- mm, B A 4 mm 72 mm 3 mm X
A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.500 in. and a wall thickness of 0.500 in. is fastened to a solid aluminum [E = 10,000 ksi] rod (2) that has a 2.000-in.-diameter and a solid 1.375-in.-diameter aluminum rod (3). The bar is loaded as shown. Assume L1= 55 in., L2= 40 in., L3 = 25 in., R = 31 kips, Q = 11 kips, and P = 27 kips. Determine (a) the change in length of steel tube (1). (b) the deflection of joint D with respect to the fixed support at A. (c) the maximum normal stress in the entire axial assembly. R A B R L1 L2 L3 Answers: (a) 81 i in. in. An (9) (c) Omax i ksi
The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h = 470 mm tw = 14 mm d = 120 mm t = 9.6 mm Additionally: • The area of each pipe is A = 3330 mm2. • The moment of inertia of the entire beam cross section about the z centroidal axis is IZ = 428040000 mm4. If the beam will be subjected to a shear force of V = 225 kN, determine the shear stress at point H, located at yH = 110 mm above the z centroidal axis.
A beam is subjected to a linearly distributed downward load and rests on two wide supports BC and DE, that exert uniformly distributed upward loads as shown. Determine the values of wec and WDE corresponding to equilibrium when WA = 750 N/m. 1200 N/m 20 C WBC ADA A 0.6 m- B' 0.8 m The value of WDE is The value of wBc is [ -3.1 ms -6 m- N/m. N/m. D (DE 1.0m E F
Question 2) Find the shear center of the section below and calculate the maximum shear stress that occurs in the section as a result of the loading shown in the figure. The section thickness is uniform everywhere and is 10 mm. Note: G.M is the geometry center of the section, the shear force of 40 kN acts from the geometry center of the section. You can look at your lecture notes for the coefficients you will need. 160 mm V-40 kN t LG.M 100 mm
Consider the timber beam shown below. The beam is made out of southern yellow pine, with an allowable bending stress of ?all= 2700 psi. The modulus of elasticity is E = 2,400 ksi. The maximum allowable deflection in the beam is 0.25 inches. A 1.5 kip/ft 6 ft 4 in. h B (a) What are the boundary conditions for this beam? (b) Determine the equation for the moment diagram using statics. (c) Determine the depth of the beam necessary to meet the allowable bending stress requirement.