.. Consider the following wooden T-beam on its side. It consists of two wooden parts glued together. Assume the glue nas a perfect bond. The densities of the two wooden parts differ and are indicated on the figure. The figure is not to scale. y P = 900 kg/m %3D 17 тm X P2 = 740 kg/m? 20 mm 150 тт Determine the a-coordinate z of the center of mass of the T-beam. 90 mm

.. Consider the following wooden T-beam on its side. It consists of two wooden parts glued together. Assume the glue nas a perfect bond. The densities of the two wooden parts differ and are indicated on the figure. The figure is not to scale. y P = 900 kg/m %3D 17 тm X P2 = 740 kg/m? 20 mm 150 тт Determine the a-coordinate z of the center of mass of the T-beam. 90 mm

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

The prismatic block with dimensions a * b * c is placed in a rigid space of the same size. Find the force P required to shorten the block's z Anchor by 2.0 mm. a=5cm b=6 cm c =1.8m poisson rate= 0.3 modulus of elasticity=200000 MPa
2.4 The truss shown is the same as in Example 2.1 except that the area of bar ab is a variable. E = 200,000 MPa. (a) For what value of Aah is v. = 0? Is this a function of the magnitude of the applied load? (b) Is it possible to obtain zero u, by varying A? (c) Suppose the applied load were vertical rather than horizontal, would it then be possible to obtain zero u, by varying Aab? If so, for what value of Aab? What would be the corresponding v.? 500 kN Fah = +400.6 kN Aab 4 m 6 m 3 m Problem 2.4 Fac = -277.8 kN Aae = 8000 mm?
The rigid bar AOB is pinned at O and connected to aluminum and steel rods. If the bar is horizontal at a given temperature, determine the ratio of the areas of the two rods so that the bar will be horizontal at any temperature. Neglect the mass of the bar. 2m 6m A Steel E = 200 GPa a = 11.7 x 10-6/°C L=8 m Aluminum E = 70 GPa a = 23.0 × 10-6/°C L = 8 m
8. A rigid bar AB is supported by three rods. A load P = 350 kN is applied to the bar. The %3D modulus of elasticity of copper is 110 x 10^6 kN/m^2 and modulus of elasticity of steel is 200 x 10^6 kN/m^2. Steel rod A = 900 sq. mm Steel rod A = 900 sq. mm 2 m |Copper A = 1200 sq. mm 2 m A B 1 m - 1 m Determine the deformation in the rods (in mm). * Your answer Вack Next Clear form Never submit passwords through Google Forms. This form was created inside of Saint Louis University, Inc..
A high-strength bolt that passes through a steel plate is subjected to a tension force of P as shown in the figure. The hole in the metal plate has a diameter of D=17 mm which is slightly larger than the diameter of the bolt (d, = 12 mm) to allow for easy installation process. The plate has a thickness of t= 9 mm. The bolt head has a thickness of a = 9 mm and an outer diameter of dn = 24 mm. %3D Determine: A) the maximum value of P before the shear stress in the rod head exceeds Thot = 105 MPa. B) the maximum value of P before the punching shear stress in the support plate exceeds Tplate = 75 MPa. C) the maximum value of P before the bearing stress between the rod head and the support plate exceeds aplate = 110 %3D MPa. D) the maximum value of Pmax that can be supported by the structure.
The aluminum bar ABC has a cross-sectional area of 20 mm2 is supported by a pin at A and a steel wire at B. If P = 50 kN calculate the horizontal displacement of P. The cross-sectional area of the wire is 1.5 mm2, modulus of elasticity of aluminum is 70 GPa and the modulus of elasticity of steel is 200 GPa. 90 cm B 90 cm 200 cm A 120 cm
The rigid bar AOB is pinned at O and connected to aluminum and steel rods. If the bar is horizontal at a given temperature, determine the ratio of the areas of the two rods so that the bar will be horizontal at any temperature. Neglect the mass of the bar. 2m 6m A B 0 Steel Aluminum E = 70 GPa E = 200 GPa a=23.0 x 10-6/°C a = 11.7 x 10-6/°C L=8m L=8m
The piece of rubber is originally rectangular. Calculate the average shear strain Yxy at A if the corners B and D are subjected to the displacements that cause the rubber to distort as shown by the dashed lines. 3 mm- D 400 mm A 300 mm- T B 2 mm X
Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.95 in.2 and an elastic modulus of 2270 ksi. Bar (2) has a cross-sectional area of 0.94 in.2 and an elastic modulus of 4030 ksi. Assume L1=24 in., L2=35 in., Q=8.5 kips, P=3 kips, and R=14.5 kips. Determine the horizontal deflection of end C relative to end A. Express your answer in inches rounded to the nearest hundredths.
1- Consider the unit cube shown in the Figure, which undergoes the deformation: 1 x₁ =α (X₁- X₂), x₂ =BX2,, x3 = Y X3 2 where a, ß, and y are constants. Determine: (a) the deformed length of diagonal OA, a В (b) the condition that constants a, ß, and y must satisfy if the material is incompressible. 0.8 1.0 B Y 0.9
A rigid bar AB is supported by three rods. A load P = 375 kN is applied to the bar. The modulus of elasticity of copper is 110 x 10^6 kN/m^2 and modulus of elasticity of steel is 200 x 10^6 kN/m^2. a. Determine the deformation in the rods (in mm).
1- Consider the unit cube shown in the Figure, which undergoes the deformation: x₁ = a (x₁ - - X₂), x₂ =BX2,, x3 = Y X3 where a, ß, and y are constants. Determine: (a) the deformed length of diagonal OA, a (b) the condition that constants a, ß, and y must satisfy if the material is incompressible. 1.0 0.8 1.2