1.A rectangular beam of 12 in. width and 18 in. depth is pre-stressed by a force of 20 kip applied through a tendon of wires of 2 in. diameter located 3 in. from the bottom. The beam carries a load of 2 k/ft over a span of 20 ft. The pre-stress losses are 25%. Compute the stresses in concrete at the (1) transfer stage, and (2) service load stage. The density of concrete is 145 lbs/ft3. 2. The compressive strength of concrete is 5000 psi. Accordingly, the allowable stresses are the following: ftt = the allowable tensile stress in concrete at initial transfer of pre-stress = -190 psi fct = the allowable compression stress in concrete at initial transfer of pre-stress = 2400 psi fcs = the allowable….

# Daily Archives: March 9, 2021

## Determine the maximum unbraced length of beam to satisfy the requirement of adequate lateral support.

1. For the braced column section and the loading shown in Figure P10.20, determine the limit states for which the column should be designed. Use A992 steel 2. Design a beam of A36 steel for the loads in Figure P11.1. Determine the maximum unbraced length of beam to satisfy the requirement of adequate lateral support. 3. Design a simply supported 20 ft span beam of A992 steel having the following concentrated loads at the midspan. Service dead load = 10 k Service live load = 25 k Determine the maximum unbraced length of beam to satisfy the requirement of adequate lateral support.

## Design a beam of A992 steel for the loading shown in Figure P11.2.

1.Design a beam of A992 steel for the loading shown in Figure P11.2. The compression flange bracing is provided at each concentrated load. The selected section should be such that the full lateral support condition is satisfied. Determine the maximum unbraced length of beam to satisfy the requirement of adequate lateral support. 2. Design a cantilever beam of A992 steel for the loading shown in Figure P11.3. The compression flange bracing is provided at each concentrated load. The selected section should be such that the full lateral support condition is satisfied. Determine the maximum unbraced length of beam to satisfy the requirement of adequate lateral support.

## How much fees could HFRI replication charge before falling below S&P Sharpe ratio?

1. How has DELTA done vs. HFRI_FW and S&P index? Compute the mean return,

volatility, Sharpe ratio, and correlations of DELTA with the indices, for the whole period

as well as two subperiods (2008-2009 and 2010-2011). What is the simple cumulative

return for DELTA and HFRI_FW and S&P index in the whole period from 2008 Oct to

2011 May? If you start with 1$ in each of these in beginning of Oct 2008, how much

money you will end up with in 2011 May?

2. Using a four-factor model that is expanded from Fama-French three-factor model by

adding a Momentum factor, please evaluate the performance of HFRI equity hedge total

return index and the DELTA strategy. Interpret your regression results. Do they

outperform? What are their exposures….

## Calculate the maximum achievable bridge out-of-balance voltage for an applied torque T of 103 N m given the following

Four strain gauges, with specification given below, are available to measure the torque on a cylindrical shaft 4 cm in diameter connecting a motor and load.

(a) Draw clearly labelled diagrams showing:

(i) the arrangement of the gauges on the shaft;

(ii) the arrangement of the gauges in the bridge circuit, for optimum accuracy and sensitivity.

(b) Calculate the maximum achievable bridge out-of-balance voltage for an applied torque T of 103 N m given the following:

Tensile and compressive strains is the shear modulus of the shaft material and a is the radius of the shaft in metres.