A square bar (50 mm x 50 mm cross-section) of 100 mm length is subjected to an axial compressive load of 10 kN. Calculate the change in volume of the bar, if all lateral strains of the bar are prevented by a uniform pressure on its four lateral faces. Calculate this pressure value and the change in volume. Also calculate the value of bulk modulus K and shear modulus G for the material of bar. Following parameters may be used if required. 1. E = 2 x 105 N/mm2 2. μ- 0.25

A square bar (50 mm x 50 mm cross-section) of 100 mm length is subjected to an axial compressive load of 10 kN. Calculate the change in volume of the bar, if all lateral strains of the bar are prevented by a uniform pressure on its four lateral faces. Calculate this pressure value and the change in volume. Also calculate the value of bulk modulus K and shear modulus G for the material of bar. Following parameters may be used if required. 1. E = 2 x 105 N/mm2 2. μ- 0.25

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

Determine the intensity of the external dead load D? the reinforced concrete beam shown in the figure canresist. Consider the known self-weight of the beam as part of the dead load. Density of the reinforced con-cretd = 120 lbf/in3. Assume that the service dead load D? (not self-weight) and live load L are equal (D? =L); f ’c = 5,000 lbf/in2, fy = 50,000 lbf/in2. Apply Load Combo 2 only (1.2D + 1.6L). Exploit the instructorspreadsheet calculator posted in D2L to speed up the numerical calculations.
a.If the beam cross section is a rectangle with a breadth and depth of 6 in and 8 in respectively, what is the bending and shearingstress? b. If the beam cross section is circular with diameter of 8 in, determine the shear stress. c. Compute for the midspan value of EIy in lb.ft3 d.Considering the following design conditions for the beam:Allowable bending stress: 20000 psiAllowable shear stress: 10000 psiMaximum allowable deflection: L/360 Determine the safe dimensions depth h and breadth b in inches if h = 2b tnx.
The cantilever beam shown in Figure P15.15a is subjected to concentrated loads Px = 18kips and Py = 32 kips. The cross-sectional dimensions of the rectangular tube shape shown inFigure P15.15b are b = 8 in., d = 12 in., and t = 0.25 in. Point H is located at a distance of a = 24in. to the left of the concentrated loads. Calculate the principal stresses and maximum in-planeshear stress at point H for the following values of h:(a) h = 4.0 in.(b) h = 6.0 in.(c) h = 8.0 in.FIGURE P15.15a FIGURE P15.15bP15.43 A solid steel shaft with an outsidediameter of 1.5 in. is supported in flexiblebearings at A and C as shown in FigureP15.43/44. Two pulleys are keyed to the shaft atB and D. Pulley B has a diameter of D B = 14 in.and belt tensions of T 1 = 100 lb and T 2 = 220 lb.Pulley D has a diameter of D D = 7 in. and belttensions of T 3 = 60 lb and T 4 = 300 lb. Lengthdimensions of the shaft are x1 = 8 in., x2 = 4 in.,x3 = 3 in., and x4 = 6 in. Determine the normaland shear stresses at point K on…
f’c = 28 fy = 415 Mpa ex= 320mm a. Calculate depth of neutral axis b. Calculate the stress in extreme compression reinforcement in Mpa
Given: Mmax= 15.625 kN-m Vmax= 12.5 kN Depth of the beam= 250 mm 1. A simply supported 5 meter timber beam carries a 5 kN/m uniformly distributed load. If the beam's Ix is 260.4166 x 10^6 mm^4 and fb = 7.50 MPa, what is the base of the beam? a) 150 mm b) 180 mm c) 200 mm d) 220 mm 2. The shear stress fv developed for the beam of question 1 is a) 0.375 MPa b) 0.50 MPa c) 0.75 MPa d) 0.85 MPa
Determine the value of the uniformly distributed loadd "w". What is the numeric value of C1 ( 1st constant)? Dtermine the deflection at midspan.
A fluid having a specific gravity of 0.869 and dynamic viscosity of 0.0814 Pa-s flows through a cast iron pipe at a velocity of 1m/s. The pipe is 50 m long and has a radius of 75mm. Solve for the shearing stress at the walls of the pipe in Pa. Round your answer to 2 decimal places.
Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded, as shown. If the normal stress in each rod must be limited to 107 MPa, determine the minimum diameter (in mm rounded to the nearest hundredths) required for rod 2. Assume P = 80 kN and Q = 140 kN.
Three forces are applied in a system whose resultant is zero, one of the force is unknown: F1 (70lbs, 45deg NE), F2 (80 lbs, 65deg SE). Compute the horizontal force (lbs) of the unknown force.
NEED HELP ASAP PLEASE!!! A horizontal shelf AD of length L = 740 mm, width b = 360 mm, and thickness t = 30 mm is supported by brackets at B and C [see part (a) of the figure]. The brackets are adjustable and may be placed in any desired positions between the ends of the shelf. A uniform load of intensity q. which includes the weight of the shelf itself, acts on the shelf [see part (b) of the figure]. A L (a) D L (b) Determine the maximum permissible value of the load if the allowable bending stress in the shelf is Oallow = 7.5 MPa and the position of the supports is adjusted for maximum load-carrying capacity. Round to two decimal places. qmax kN/m
A bearing pad is a device which is used to support a bridge or other heavystructure in a way that permits the load to shift slightly in a horizontal directionrelative to the ground or foundation. If a horizontal force af 528 kN is applied tothe top surface of the bearing pad, and that a = 700 mm, b = 550 mm, h = 75m and the modulus of elasticity G = 1.25 MPa. Determine the following: a. The average shear stress on the bearing pad.b. The horizontal displacemant of tne bearing pad. Note: Draw the Free Body Diagram, include the proper units and round-off the answers to 3 decimal places.
A simply supported 4-m long beam is made up of 80% grade Kato. The beam is carrying a uniform load of 12 KN/m all through out its length and a concentrated load of 800 N 1 meter from the left support. The cross-sectional area of the beam is indicated below. a. What is the moment of inertia (in mm4) of the cross-section of the beam? b. What is the value of Q (in mm3)? c. What is the actual bending stress of the beam in MPa? d. What is the actual shearing stress of the beam in MPa?