Natural hazards such as hurricanes and floods are becoming more frequent, and people in their communities often lack the capacity to recover from climate disasters without additional support. The US government has created several programs to help communities gain additional financial support from the Federal Emergency Management Agency and the Housing and Urban Development Agency. Federal financial support is especially crucial for communities that are primarily low-income households, renters, and people of color because research has shown these groups of people tend to live in places more exposed to disasters and have fewer resources to recover. This problem is the study of social vulnerability, the study of how and why certain populations are more impacted by disasters. This dissertation investigates whether federal disaster assistance is allocated to those who need it the most by identifying barriers and access to fair and equitable distributions of disaster assistance. To do so, this dissertation tests the influence that social vulnerability and social capital (also known as social relations) have on allocations of federal disaster assistance and whether they facilitate equity. This dissertation consists of three studies. The first investigates the influence that social vulnerability has in the allocation of federal disaster assistance distributed after an Iowa 2008 flood. The second analyzes both pre-disaster and post-disaster social capital and their role in increasing access to federal disaster assistance for individuals and households affected by the 2016 Texas and Louisiana flood. The third models the combined influence (also known as the interaction) of social vulnerability and social capital on access to federal disaster assistance for counties in a national case study. The findings reveal that social vulnerability and social capital have different influences on allocations of federal disaster assistance, such that sometimes they are associated with more assistance and other times with less assistance, depending on the federal program and study area. It also reveals a significant interaction between social vulnerability and social capital, which suggests inequitable allocations of federal disaster assistance to those with higher vulnerability.