INSTRUCTION: Solve the given problems completely and write the correct units for every quantity. Show detailed illustration to support your solution. 1. What value of uniformly distributed live load w is required to produce initial cracking of the U- shaped cantilever beam shown in the figure below. The beam is constructed of normal weight concrete with f. = 25 MPa and f, = 420 MPa .

INSTRUCTION: Solve the given problems completely and write the correct units for every quantity. Show detailed illustration to support your solution. 1. What value of uniformly distributed live load w is required to produce initial cracking of the U- shaped cantilever beam shown in the figure below. The beam is constructed of normal weight concrete with f. = 25 MPa and f, = 420 MPa .

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

1. The column in the figure shown has a strain on its compressive edge equal to -0.003 and has a tensile strain of +0.00185 on its other edge. Detemine the nominal values of Pn and Mn that cause this strain distribution if f'c = 21 MPa, fy = 414 MPa. Draw the column interaction diagram. en 600 Pn mm 8 - 6 32mm 75 225 225 75 600
An aluminum tube with the hexagonal cross-section shown is 2.5 ft long and has a constant wall thickness of 0.080 in. Find (a) the largest torque that the tube can carry if the shear stress is limited to 7200 psi. Use G = 4 x 106 psí for aluminum. 11.5 in 0.075 in O 6734 lb-in O 7634 lb-in O 6374 lb-in O 7346 lb-in
A square plate O-P-Q-R of a linear elastic material with sides 1.0 m is loaded in a state of plane stress. Under a given stress condition, the plate deforms to a new configuration O-P'-Q'-R' as shown in figure (not to scale). Under the given deformation the edges of the plate remain straight. 10 mm y4 R'. Q' 10 mm R Q 10 mm P 20 mm The horizontal displacement of the point (0.5 m, 0.5 mm) in the plate O-P-Q-R (in mm, round off to one decimal place) is
A vibration isolation support consists of a rod A of radius R₁ and a tube B of inner radius R₂ bonded to an 80-mm-long hollow rubber cylinder with a modulus of rigidity G = 10.93 MPa. Determine the required value of the ratio R2/R1 if a force P = 13 kN is to cause a 2-mm deformation of rod A. B R₁ R₂ .. 80 mm The required value of the ratio R2/R₁ is 1.422
Creep exercises You are involved in a design for high temperature alloys and have performed a rupture test of material A and B. After data analysis, you noticed that the master curve (o vs LMP) of both material A and B coincide as shown in the diagram below. Based on the rupture strength o (MPa) AtB LMP = T(C+ Int) Which material will you select if they both have same constant (CA= CB)? Which material will you select if C < C? Motivate your answer by means of a calculation.
A 2 m long, axially loaded mild steel rod of 8 mm diameter exhibits the load- 14000 12000 displacement (P-8) behavior as shown in the figure. 10000 8000 6000 4000 2000 Assume the yield stress of steel as 250 MPa. The complementary strain energy (in Nmm) stored in the bar up to its linear elastic behaviour will be 1 2 3 4 5 6 7 8 Displacement, & (mm) 9 10 Axial load, P (kN)-
Strain = 600 Stress = Strain = 500 Stress = 400 500 300 400 300 200 200 100 100 0.000 0.002 0.004 0.006 Strain 0.00 0.04 0.08 0.12 0.16 0.20 Strain Stress (MPa)
An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in Fig. P-108. Axial loads are applied at the positions indicated. Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in aluminum of 90 MPa, or in bronze of 100 MPa. Figure P-108 PARTNER Aluminum A=400 mm² Steel A = 500 mm² 2.5 m 2.0 m Bronze A = 200 mm² 1.5 m 2P
In a tensile test on a metal specimen having a cross section 20 mm by 10 mm elastic breakdown occurred at a load of 70 000 N. A thin plate madec from the same material is to be subjected to loading such that at a certain point in the plate the stresses are o,=-70 N/mm², 7.y= 60 N/mm² and o. Determine the maximum allowable values of o, using the Tresca and von Mises theories of elastic breakdown. Ans. 259 N/mm² (Tresca), 294 N/mm² (von Mises).
The rigid bar is supported by a pin at A and two metal wires, each having a diameter of 4 mm. The stress-strain diagram of the steel is given in the Figure below. The lower graph is the zoomed view of the elastic deformation and yielding phases of the stress-strain diagram given by the upper graph (a) Obtain the Young's modulus of metal. What can you say about the kind of metal considering the Young modulus? If the point G is displaced 1.5 mm in vertical direction, (b) determine the forces at wires EB and DC, (b) the intensity of the distributed load w, (c) the final diameters of wires. (Poisson's ratio is v=0.3) E D σ (MPa) 600 500 800 mm 400 В 300 G 200 100 – 400 mm- – 250 mm- -€ (mm/mm) 0.04 0.08 0.12 0.16 0.20 0.24 0.28 '150 mm' 0 0.0005 0.0010.0015 0.002 0.0025 0.003 0.0035
I5 In a tensile test experiment of carbon steel. a standard specimen (D= 0.505 in. Gauge length=2.0 in & total length 8 in) had a 0.2% offset yield strength of 80.000 psi and engineering strain of 0.010 at the yield strength point Calculate: The load (force) at this point. The instantaneous area of the specimen at this point. c. The true stress at this point. d. The true strain at this point. e. The total length of the specimen. if the load is released at this point.
A circular tube of aluminum is subjected totorsion by torques T applied at the ends (see figure).The bar is 24 in. long, and the inside and outsidediameters are 1.25 in. and 1.75 in., respectively. It isdetermined by measurement that the angle of twistis 48 when the torque is 6200 lb-in.(a) Calculate the maximum shear stress t max in thetube, the shear modulus of elasticity G, and themaximum shear strain Υmax (in radians).(b) If the maximum shear strain in the tube islimited to 2.5 x10 -3 and the inside diameteris increased to 1.375 in., what is the maximumpermissible torque?