# GATE Questions & Answers of Limit State and Ultimate Load Design Concepts

## What is the Weightage of Limit State and Ultimate Load Design Concepts in GATE Exam?

Total 10 Questions have been asked from Limit State and Ultimate Load Design Concepts topic of Concrete Structures subject in previous GATE papers. Average marks 1.40.

Two rectangular under-reinforced concrete beam sections X and Y are similar in all aspects except that the longitudinal compression reinforcement in section Y is 10% more. Which one of the following is the correct statement?

An RCC beam of rectangular cross section has factored shear of 200 kN at its critical section. Its width b is 250 mm and effective depth d is 350 mm. Assume design shear strength $\style{font-family:'Times New Roman'}{\tau_c}$ of concrete as 0.62 N/mm2 and maximum allowable shear stress $\style{font-family:'Times New Roman'}{\tau_{c,max}}$ in concrete as 2.8 N/mm2. If two legged 10 mm diameter vertical stirrups of Fe250 grade steel are used, then the required spacing (in cm, up to one decimal place) as per limit state method will be ______

As per IS 456 : 2000, the minimum percentage of tension reinforcement (up to two decimal places) required in reinforced-concrete beams of rectangular cross-section (considering effective depth in the calculation of area) using Fe500 grade steel is ______

According to IS 456 - 2000, which one of the following statement about the depth of netural axis $\style{font-family:'Times New Roman'}{{\mathrm\chi}_{\mathrm u,\mathrm{bal}}}$ for a balanced reinforced concrete section is correct?

A reinforced concrete (RC) beam with width of 250 mm and effective depth of 400 mm is reinforced with Fe415 steel. As per the provisions of IS 456-2000, the minimum and maximum amount of tensile reinforcement (expressed in mm2) for the section are, respectively

For M25 concrete with creep coefficient of 1.5, the long-term static modulus of elasticity (expressed in MPa) as per the provisions of IS:456-2000 is ________

As per IS 456-2000 for the design of reinforced concrete beam, the maximum allowable shear stress $\style{font-family:'Times New Roman'}{\left(\tau_{c\;\max}\right)}$ depends on the

Consider the singly reinforced beam shown in the figure below:

At cross-section XX, which of the following statements is TRUE at the limit state ?